item: #1 of 571 id: ijaa-10 author: Mogbademu, Adesanmi Alao title: A Note on: Multi-Step Approximation Schemes for the Fixed Points of Finite Family of Asymptotically Pseudocontractive Mappings date: 2013-07-25 words: 2345 flesch: 87 summary: δnLd1n(‖xn −ρ‖2 + ‖xn+1 −ρ‖2) +δnLd 2 n(‖xn −ρ‖2 + ‖xn+1 −ρ‖2) + bnLd1n(‖xn −ρ‖2 + ‖xn+1 −ρ‖2) keywords: −ρ‖; −ρ‖2 cache: ijaa-10.pdf plain text: ijaa-10.txt item: #2 of 571 id: ijaa-1011 author: Ahmad, Bashir; Ntouyas, Sotiris K.; Alsaedi, Ahmed title: Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions date: 2017-02-25 words: 8220 flesch: 86 summary: [0,T] with τ1 < τ2 and x ∈ Br. ∈ [0,T] with τ1 < τ2 and x ∈ Br. keywords: fractional; t |λ|; theorem; |β|; |λ|; γ(q; γ(α cache: ijaa-1011.pdf plain text: ijaa-1011.txt item: #3 of 571 id: ijaa-1013 author: Karpuz, Basak; Ozkan, Umut M.; Yalcin, Tugba; Yildiz, Mustafa K. title: Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives date: 2017-02-25 words: 6405 flesch: 87 summary: i + 1) tρ(α−i) + ∫ t 0 Kαρ (t,η)f ( η,y(η) ) dη for t ∈ (0,h]. + [ Jαρ f ( ∗,ym−1(∗) )] (t), m ∈ N (4.3) REIMANN-LIOUVILLE AND HADAMARD TYPE FRACTIONAL DERIVATIVES 223 for t ∈ (0,h]. keywords: fractional; tρ−1 cache: ijaa-1013.pdf plain text: ijaa-1013.txt item: #4 of 571 id: ijaa-1037 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Iftikhar, Sabah title: Harmonic Beta-Preinvex Functions and Inequalities date: 2017-02-25 words: 7276 flesch: 91 summary: [23] introduced and investigated another class of harmonic convex functions, which is called harmonic preinvex functions and can be viewed as significant generalization of both the harmonic convex functions and preinvex functions. harmonic preinvex functions; beta function; hypergeometric function; Hermite-Hadamard type inequality. keywords: + q; + η(b; a(a; functions; harmonic cache: ijaa-1037.pdf plain text: ijaa-1037.txt item: #5 of 571 id: ijaa-1038 author: Latif, Muhammad Amer; Dragomir, Sever S.; Momoniat, Ebrahim title: New Inequalities of Hermite-Hadamard Type for n-Times Differentiable s-Convex Functions with Applications date: 2017-02-25 words: 5888 flesch: 88 summary: Suppose the assumptions of Theorem 2.2 are satisfied and if n = 1, we have the inequality∣∣∣∣∣f (a) + f (b)2 − 1b−a ∫ b a f (x) dx ∣∣∣∣∣ ≤ (b−a)22+s/q ( q − 1 2q q+1n! ( n n + 1 )1−1/q ×   (( n2 + s (n− 1) )∣∣f(n) (a)∣∣q (n + s) (n + s + 1) + ( n n + 1 + n (n + s) n + s + 1 B (s + 1,n) )∣∣∣f(n) (b)∣∣∣q )1/q + (( n2 + s (n− 1) )∣∣f(n) (b)∣∣q (n + s) (n + s + 1) + ( n n + 1 + n (n + s) n + s + 1 B (s + 1,n) )∣∣∣f(n) (a)∣∣∣q )1/q  , (2.2) 122 LATIF, DRAGOMIR AND MAMONAIT where B (α,β) = ∫ 1 0 tα−1 (1 − t)β−1 dt,α,β > 0 is the Euler Beta function. Proof. keywords: s + cache: ijaa-1038.pdf plain text: ijaa-1038.txt item: #6 of 571 id: ijaa-1039 author: Kamran, Tayyab; Ali, Muhammad Usman; Postolache, Mihai; Ghiura, Adrian; Farheen, Misbah title: Best Proximity Points for a New Class of Generalized Proximal Mappings date: 2017-02-25 words: 4465 flesch: 85 summary: class F. A contraction involving a function F ∈ F is called an F-contraction. A mapping T : A → CB(B) is called αF -proximal contraction of Hardy Rogers type if there exist two functions α: A×A → [0,∞), F ∈ F and a constant τ > 0 such that for each x1,x2,u1,u2 ∈ A and v1 ∈ Tx1, v2 ∈ Tx2 with α(x1,x2) ≥ 1 and d(u1,v1) = dist(A,B) = d(u2,v2), we have α(u1,u2) keywords: dist(a; point; proximity cache: ijaa-1039.pdf plain text: ijaa-1039.txt item: #7 of 571 id: ijaa-1055 author: Esmaili, Hosein; Rahimi, Hamidreza title: Some Generalized Notions of Amenability Modulo an Ideal date: 2017-02-25 words: 4930 flesch: 76 summary: It is shown that if S is an E- inversive E-semigroup such that E(S) is commutative (S is an eventually semigroup) then the relation σ = {(a,b) ∈ S × S |ea = fb for some e,f ∈ ES} (σ′ = {(s,t) : ∈ S/ρ). keywords: algebra; banach; contractible; ideal; modulo; semigroup cache: ijaa-1055.pdf plain text: ijaa-1055.txt item: #8 of 571 id: ijaa-1060 author: Ammar, Aymen; Fakhfakh, Slim; Jeribi, Aref title: A New Stability of the S-Essential Spectrum of Multivalued Linear Operators date: 2017-05-01 words: 4693 flesch: 86 summary: Suppose that S ∈ LR(X) is A-bounded with A-bounded δ < 1 such that S(0) ⊂ A(0) and D(A) ⊂ D(S). ∈ C. If S ∈ LR(X) is A-bounded with A-bounded δ < 1 such that S(0) ⊂ A(0) and D(A) ⊂D(S), then (i) λ keywords: s(a cache: ijaa-1060.pdf plain text: ijaa-1060.txt item: #9 of 571 id: ijaa-1073 author: Delavar Khalafi, A.; Davvaz, B. title: Algebraic Hyper-Structures Associated to Nash Equilibrium Point and Applications date: 2017-05-02 words: 3872 flesch: 89 summary: The strategy x1, y1 ∈ X1 is called max-min if v = inf x2,y2∈X2 f(x1 ? y2), for all x1, y1 ∈ X1 and x2, y2 ∈ X2. keywords: f(x1; y1,x2 cache: ijaa-1073.pdf plain text: ijaa-1073.txt item: #10 of 571 id: ijaa-1074 author: Cernea, Aurelian title: Existence of Solutions for a Certain Boundary Value Problem Associated to a Fourth Order Differential Inclusion date: 2017-05-02 words: 4296 flesch: 86 summary: t ∈ I. = L(t)(1 + ∫ t 0 L(u)du), t ∈ I, M0 = ∫ 1 0 M(t)dt. keywords: set cache: ijaa-1074.pdf plain text: ijaa-1074.txt item: #11 of 571 id: ijaa-111 author: Jhade, Pankaj Kumar; Saluja, A. S. title: On Random Coincidence & Fixed Points for a Pair of Multi-Valued & Single-Valued Mappings date: 2013-10-08 words: 3592 flesch: 91 summary: Separable metric space; random fixed point; random coincidence point ;random multi-function. [14] T.C. Liu , Random approximations and random fixed points for nonself maps, Proc. keywords: t(ω cache: ijaa-111.pdf plain text: ijaa-111.txt item: #12 of 571 id: ijaa-1126 author: Yildiz, Cetin; Ozdemir, M. Emin title: On Generalized Inequalities of Hermite-Hadamard Type for Convex Functions date: 2017-05-02 words: 4104 flesch: 91 summary: ∈ L[a, b] and ∣∣f(n)∣∣ (n ≥ 1) is convex on [a, b], then we have ∣∣∣∣∣ ∫ b a f(t)dt− n−1∑ k=0 (x−a)k+1f(k)(a) From Lemma 2.1 and using the well known Power-mean integral inequality, we have ∣∣∣∣∣ ∫ b a f(t)dt− n−1∑ k=0 (x−a)k+1f(k)(a) keywords: n + cache: ijaa-1126.pdf plain text: ijaa-1126.txt item: #13 of 571 id: ijaa-113 author: Olisama, V.O.; Mogbademu, A.A.; Olaleru, J.O. title: Convergence of a Modified Multi-Step Iterative Scheme for p- Nearly Uniformly L-Lipschitzian Asymptotically Pseudocontrative Mappings date: 2013-11-17 words: 3606 flesch: 80 summary: The mapping T is said to be asymptotically pseudocontractive if there exists a sequence {kn}⊂ [1,∞) with limn→∞kn = 1 and for any x,y ∈ K there exist j(x−y) such that ‖Tn −Tny‖≤ L‖x−y‖, for any x,y ∈ K and ∀n ≥ 0. keywords: mappings; −ρ‖; −ρ‖2 cache: ijaa-113.pdf plain text: ijaa-113.txt item: #14 of 571 id: ijaa-1131 author: Karpuz, Basak title: Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations date: 2017-05-02 words: 4206 flesch: 84 summary: If k ∈ N, ` ∈ N0 and s ∈ T, then hk+`(t,s) = ∫ t s hk−1 ( t,σ(η) ) h`(η,s)∆η for t ∈ T. As an immediate consequence of Lemma 2.2, we can give the following alternative definition of the generalized polynomials: hk(t,s) :=   1, k = 0∫ t s hk−1 ( t,σ(η) ) ∆η, k ∈ N for s,t ∈ T. (2.3) ∈ C(T×T,R) as follows: hk(t,s) :=   1, k = 0∫ t s hk−1(η,s)∆η, k ∈ N for s,t ∈ T. (2.1) Note that, for all s,t ∈ T and all k ∈ N0, the function hk satisfies h∆1k (t,s) = { 0, k = 0 hk−1(t,s), k ∈ N for s,t ∈ T. (2.2) keywords: equations; order; oscillation cache: ijaa-1131.pdf plain text: ijaa-1131.txt item: #15 of 571 id: ijaa-1134 author: Ziane, D.; Hamdi Cherif, M. title: Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations date: 2017-05-02 words: 4224 flesch: 82 summary: 77 78 D. ZIANE AND M. HAMDI CHERIF (Iα0+f)(t) = 1 Γ (α) ∫ t 0 f(τ)dτ (t− τ)1−α , t > 0, α > 0, (2.1) (I00+f)(t) = f(t). When α ∈ R+, the time-fractional derivative is defined as (cDαt u)(x,t) = ∂αu(x,t) ∂tα = { 1 Γ(m−α) keywords: transform cache: ijaa-1134.pdf plain text: ijaa-1134.txt item: #16 of 571 id: ijaa-1166 author: Sarikaya, Mehmet Zeki; Tunc, Tuba; Erden, Samet title: Generalized Steffensen Inequalities for Local Fractional Integrals date: 2017-05-02 words: 3555 flesch: 88 summary: Due to this, over the years, the interested reader is also refered to ( [1], [2], [4]- [7], [10], [11] and [18]) for integral inequalities. We start the following important inequality for local fractional integrals: Theorem 3.1 (Generalized Steffensen’s Inequality). keywords: f(x; γ(α cache: ijaa-1166.pdf plain text: ijaa-1166.txt item: #17 of 571 id: ijaa-1186 author: Khan, Asghar; Farooq, Muhammad; Davvaz, Bijan title: Int-Soft Interior Hyperideals of Ordered Semihypergroups date: 2017-06-28 words: 7421 flesch: 87 summary: Thus for any α ∈ x◦y, SA (α) = U implies that α ∈ A. It thus follows that A◦A ⊆ A. Let α ∈ S◦A◦S, then there exist x,y ∈ S and a ∈ A such that α ∈ x◦a◦y. ◦ ((A◦B) ◦A◦ (B)]] ⊆ ((S ◦B ◦S] ◦ (S ◦A◦S]] ⊆ ((B] ◦ (A]] = (B ◦A] =⇒ (A◦B] ⊆ (B ◦A] . keywords: int; ◦ y cache: ijaa-1186.pdf plain text: ijaa-1186.txt item: #18 of 571 id: ijaa-1191 author: Yilmaz, E.; Mohiuddine, S.A.; Altin, Y.; Koyunbakan, H. title: Uniform Lacunary Statistical Convergence on Time Scales date: 2017-05-02 words: 4296 flesch: 75 summary: uniform lacunary statistical convergence; sequence spaces; time scale. [39] defined lacunary sequence and lacunary statistical convergence on T. Now, we give a generalization of their study in a different form where θ = {kt−t0+1} is a lacunary sequence on T. Definition 1.1. keywords: convergence; lim cache: ijaa-1191.pdf plain text: ijaa-1191.txt item: #19 of 571 id: ijaa-1222 author: Rassias, John Michael; Ravi, Krishnan; Senthil Kumar, Beri Venkatachalapathy title: Generalized Stabilities of Euler-Lagrange-Jensen (a,b)-Sextic Functional Equations in Quasi-β-Normed Spaces date: 2017-06-28 words: 4311 flesch: 81 summary: Introduction The classical theory of stability of functional equations was instigated by the question of Ulam [42] in the year 1940. In the subsequent year 1941, Hyers [16] was the foremost mathematician to establish the pioneering result connected with the stability of functional equations. keywords: equation; rassias; stability cache: ijaa-1222.pdf plain text: ijaa-1222.txt item: #20 of 571 id: ijaa-1228 author: Zou, Qing title: Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients date: 2017-06-28 words: 2936 flesch: 83 summary: Introduction The researches on Genocchi numbers and Genocchi polynomials have a long history. They studied Genocchi numbers and Genocchi polynomials extensively in many branches of Mathematics, such as elementary number theory, analytic number theory, theory of modular forms, p-adic analytic number theory and etc.. Now, let us show the definitions of Genocchi numbers and Genocchi polynomials. keywords: genocchi; polynomials cache: ijaa-1228.pdf plain text: ijaa-1228.txt item: #21 of 571 id: ijaa-1230 author: Bor, Hüseyin title: Factors for Absolute Weighted Arithmetic Mean Summability of Infinite Series date: 2017-06-28 words: 2002 flesch: 87 summary: Also if we take k = 1, then we obtain | N̄,pn | summability (see [11]). [9] K. N. Mishra and R. S. L. Srivastava, On | N̄, pn | summability factors of infinite series, Indian J. Pure Appl. keywords: o(1; v=1 cache: ijaa-1230.pdf plain text: ijaa-1230.txt item: #22 of 571 id: ijaa-125 author: Saluja, G. S. title: Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces date: 2013-10-08 words: 5096 flesch: 82 summary: Hence by remark 1.1, T is asymptotically quasi-nonexpansive type mapping. Hence by remark 1.1, T is asymptotically quasi-nonexpansive type mapping. keywords: mappings cache: ijaa-125.pdf plain text: ijaa-125.txt item: #23 of 571 id: ijaa-1267 author: Hola, Lubica; Holy, Dusan title: Graph Quasicontinuous Functions and Densely Continuous Forms date: 2017-06-28 words: 4444 flesch: 81 summary: X → Y with the graph of g contained in the closure of the graph of f. There is a close relation between the notions of graph quasicontinuous functions and minimal usco maps as well as the notions of graph quasicontinuous functions and densely continuous forms. � We have the following characterization of graph quasicontinuous functions with values in locally compact Hausdorff spaces. keywords: set cache: ijaa-1267.pdf plain text: ijaa-1267.txt item: #24 of 571 id: ijaa-1283 author: Vasilescu, Florian-Horia title: Integral Representations of Semi-Inner Products in Function Spaces date: 2017-06-28 words: 18707 flesch: 79 summary: Setting Λ0(f) = 〈f, 1〉0, f ∈ S, formula (1.1) leads to a linear extension of Λ0 to the space S(2). In fact, S0 := {f|Ω0; f ∈ S} is a function space on (Ω0,S0), where S0 = {A∩ Ω0; A ∈ S}. keywords: basis; finite; function; function space; hilbert; j=1; measure; product; representing; set; space; theorem; ∗,∗〉0 cache: ijaa-1283.pdf plain text: ijaa-1283.txt item: #25 of 571 id: ijaa-1292 author: Öcalan, Özkan; Kilic, Nurten; Sahin, Sermin; Ozkan, Umut Mutlu title: Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments date: 2017-06-28 words: 2556 flesch: 79 summary: [5] A. Elbert and I. P. Stavroulakis, Oscillations of first order differential equations with deviating arguments, Univ of Ioannina T. R. No 172 (1990), Recent trends in differential equations, 163-178, World Sci. Consider the first-order nonlinear retarded differential equation x′(t) keywords: h(t; τ(t cache: ijaa-1292.pdf plain text: ijaa-1292.txt item: #26 of 571 id: ijaa-1293 author: Yüksel, Ä°smet; Dinlemez Kantar, Ãœlkü; Altın, Birol title: On the (p,q)-Stancu Generalization of a Genuine Baskakov-Durrmeyer Type Operators date: 2017-11-01 words: 3332 flesch: 87 summary: In the formula (2.2), K(A,n) = qn(n−1)/2 and K(A, 0) = 1 for n ∈ N. Inspiring the formula (2.1), we introduce (p,q)-beta functions Bp,q(n,k), as a generalization of Bq(n,k), A > 0 and n,k ∈ N\{0}, defined by Bp,q(k,n) = p (n2)q( k 2) ∞/A∫ 0 tk−1 (1 ⊕ t)n+kp,q dp,qt. If one replaces p = q = 1 and α = β = 0 in (3.1), then the operators Bα,βp,q,n are reduced to the operators Bnin (1.1). keywords: βpn cache: ijaa-1293.pdf plain text: ijaa-1293.txt item: #27 of 571 id: ijaa-1299 author: Özarslan, Hikmet Seyhan title: An Application of δ-Quasi Monotone Sequence date: 2017-06-28 words: 1803 flesch: 80 summary: If we take anv = pv Pn and δ = 0, then |A,pn; δ|k summability reduces to |N̄,pn|k summability. Also, if we take anv = pv Pn , then |A,pn; δ|k summability is the same as |N̄,pn; δ|k summability (see [4]). keywords: o(1; pn pn; v=1 cache: ijaa-1299.pdf plain text: ijaa-1299.txt item: #28 of 571 id: ijaa-13 author: Qarawani, Maher Nazmi title: On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order date: 2013-07-31 words: 2835 flesch: 78 summary: In this section we investigate the Hyers Ulam stability of solutions for superlinear nth order differential equation (12) y(n) = h(t) t1 < ∞, and f(t,y,y′,y′′, ...,y(n−1)) is defined on a closed bounded set D ⊂ Rn+1 that satisfies the condition (3) |f(t, [y]) −f(t, [z])| ≤ g(t) |y(t) −z(t)| (t1 − t0) n−1 where g(t) : I → (0,∞) is integrable function. keywords: hyers; stability; ulam cache: ijaa-13.pdf plain text: ijaa-13.txt item: #29 of 571 id: ijaa-1311 author: Ammar, Aymen; Djaidja, Noui; Jeribi, Aref title: The Essential Spectrum of a Sequence of Linear Operators in Banach Spaces date: 2017-08-24 words: 4382 flesch: 93 summary: An) = i(λ− (λ0 −T −B)). = i(λ− (λ0 −T −B) + keywords: −tn cache: ijaa-1311.pdf plain text: ijaa-1311.txt item: #30 of 571 id: ijaa-1323 author: Davvaz, B.; Sadrabadi, E. Hassani; Nieto, Juan J.; Torres, Angela title: Twin Hypercube for Intuitionistic Fuzzy Sets and Their Application in Medicine date: 2017-08-24 words: 6344 flesch: 84 summary: In this paper, we present a description of intuitionistic fuzzy sets as vectors in twin hy- percube. Finally we verify an application of intuitionistic fuzzy sets in medicine using twin hypercube for intuitionistic fuzzy sets. keywords: d(a; i=1; sets cache: ijaa-1323.pdf plain text: ijaa-1323.txt item: #31 of 571 id: ijaa-1325 author: Awan, Muhammad Uzair; Noor, Muhammad Aslam; Mishra, Vishnu Narayan; Noor, Khalida Inayat title: Some Characterizations of General Preinvex Functions date: 2017-08-24 words: 4676 flesch: 81 summary: ∈ Kηϕ be a minimum of general preinvex function F on Kηϕ. Then by definition of minimum, we have, F(ϕ(u)) In this paper, we consider a new class of general preinvex functions involving an arbitrary function. keywords: function; kηϕ; preinvex cache: ijaa-1325.pdf plain text: ijaa-1325.txt item: #32 of 571 id: ijaa-1328 author: Khan, Asghar; Izhar, Muhammad; Sezign, Aslihan title: Characterizations of Abel Grassmann's Groupoids by the Properties of Their Double-Framed Soft Ideals date: 2017-08-25 words: 8470 flesch: 94 summary: then, i) 〈(α,β) ; S〉� (〈(f,g) ; S〉u〈(h,k); S〉) = (〈(α,β) ; S〉� 〈(f,g) ; S〉) u (〈(α,β) ; S〉� 〈(h,k); S〉) . ii) If 〈(f,g) ; S〉v 〈(h,k); S〉 then 〈(α,β) ; S〉� 〈(f,g) ; S〉v 〈(α,β) ; S〉� 〈(h,k); S〉 . keywords: dfs; groupoid; ideal; left cache: ijaa-1328.pdf plain text: ijaa-1328.txt item: #33 of 571 id: ijaa-1334 author: Ibrahim, Rabha W. title: Optimality and Duality Defined by the Concept of Tempered Fractional Univex Functions in Multi-Objective Optimization date: 2017-08-25 words: 4789 flesch: 80 summary: Fractional multi-objective function, kv = 0 (α) Eq. Fractional multi-objective function, kv = 1 (α) Eq. keywords: operator; univex; ψ(x cache: ijaa-1334.pdf plain text: ijaa-1334.txt item: #34 of 571 id: ijaa-1338 author: Ahmad, Bashir; Matar, Mohammed M.; El-Salmy, Ola M. title: Existence of Solutions and Ulam Stability for Caputo Type Sequential Fractional Differential Equations of Order α ∈ (2,3) date: 2017-08-25 words: 8291 flesch: 84 summary: α ∈ (2, 3), t ∈ J, x(k)(a) = bk,k = 0, 1, 2, (1.1) where CDαa denote the Caputo fractional derivative of order α, λ1 and λ2 are nonzero constants, f : J ×R → R is a given continuous function, and J = [α] + 1, where [α] denotes the integer part of the real number α. Let C(J,R) be a Banach space of all continuous real valued functions defined on J endowed with the norm defined by ‖x‖ = sup{|x(t)| , t ∈ J} , Cn(J,R) be a Banach space of all n times continuously differentiable on J. By AC(J,R), we denote the space of functions which are absolutely continuous on J, and by ACn(J,R), the space of functions f which have continuous derivatives up to order n− 1 on J such that f(n) keywords: e− λ1; fractional; problem; t ∈; t−a; λ1 λ2; λ2 + cache: ijaa-1338.pdf plain text: ijaa-1338.txt item: #35 of 571 id: ijaa-1347 author: Lima, F. M. S. title: Cosine Integrals for the Clausen Function and Its Fourier Series Expansion date: 2017-08-25 words: 2993 flesch: 82 summary: Fourier series for an even periodic extension of Clausen function Now, let us examine the Fourier cosine series whose coefficients are the Ak expressions derived above. (2.5) For n = k, the above integral reduces to Inn = ∫π 0 cos(nθ) sin(nθ) dθ = 1 2 ∫π 0 sin(2nθ) dθ = − cos (2nθ)/(2n) |π 0 = 0. keywords: function cache: ijaa-1347.pdf plain text: ijaa-1347.txt item: #36 of 571 id: ijaa-1349 author: Sonker, Smita; Krasniqi, Xh. Z.; Munjal, Alka title: A Note on Absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ Summability Factor date: 2017-08-25 words: 2030 flesch: 76 summary: [2] H. Bor, On absolute summability factors, Proc. [4] H. S. Özarslan, A note on absolute summability factors, Proc. keywords: v=1 cache: ijaa-1349.pdf plain text: ijaa-1349.txt item: #37 of 571 id: ijaa-137 author: Shrivastava, Rajesh; Dubey, Rajendra Kumar; Tiwari, Pankaj title: Some Common Fixed Point Theorems in Generalized Vector Metric Spaces date: 2013-11-17 words: 2815 flesch: 87 summary: Now, since E is Archimedean then {yn} is an GE−Cauchy sequence in X. Since the range of S contains the range of T and the range of at least one is GE−complete, so there is w ∈ X such that Sxn G,E−−→ w. Now, since E is Archimedean then {yn} is an GE−Cauchy sequence in X. Since the range of S contains the range of T and the range of at least one is GE−complete, so there is w ∈ X such that Sxn G,E−−→ w. keywords: point cache: ijaa-137.pdf plain text: ijaa-137.txt item: #38 of 571 id: ijaa-1380 author: Awan, Muhammad Uzair; Noor, Muhammad Aslam; Noor, Khalida Inayat title: Some Integral Inequalities Using Quantum Calculus Approach date: 2017-11-01 words: 5771 flesch: 85 summary: These integral inequalities involve generalized preinvex functions and q-Euler-Beta functions. We now define another new class of generalized preinvex functions. keywords: functions; preinvex; η(b cache: ijaa-1380.pdf plain text: ijaa-1380.txt item: #39 of 571 id: ijaa-1398 author: Hazarika, Bipan; Esi, Ayhan title: Quasi-Slowly Oscillating Sequences in Locally Normal Riesz Spaces date: 2017-11-01 words: 5789 flesch: 78 summary: In terms of quasi-Cauchy we restate the definitions of ward compactness and ward continuity as follows: a function f is ward continuous if it preserves quasi-Cauchy sequences, i.e. (f(xn)) is quasi-Cauchy whenever (xn) is, and a subset E of R is ward compact if any sequence x = (xn) of points in E has a quasi-Cauchy subsequence z = (zk) = (xnk) of the sequence x. A Riesz space is an ordered vector space which is a lattice at the same time. Riesz space; continuity; quasi-Cauchy sequence; quasi-slowly oscillating sequences. keywords: oscillating; quasi; sequence cache: ijaa-1398.pdf plain text: ijaa-1398.txt item: #40 of 571 id: ijaa-140 author: Thakur, Balwant Singh title: Solvability of Extended General Strongly Mixed Variational Inequalities date: 2013-10-08 words: 3632 flesch: 79 summary: [3] For a given z ∈ H , u ∈ H satisfies the inequality 〈u−z,x−u〉 + λϕ(x) −λϕ(u) ≥ 0 , ∀x ∈ H if and only if u = Jϕ(z), where Jϕ = (I + λ∂ϕ) −1 is the resolvent operator and λ > 0 is a constant. Another argument is concerned with the approximate solution of the problem: For f ∈ H, find x ∈ H such that Tx±Ax = f. Here T,A : H → H are given operators. keywords: inequality; problem; variational cache: ijaa-140.pdf plain text: ijaa-140.txt item: #41 of 571 id: ijaa-143 author: Ravi, K.; Rassias, J.M.; Senthil Kumar, B.V. title: General Stability of a Reciprocal Type Functional Equation in Three Variables date: 2013-11-17 words: 6755 flesch: 79 summary: International Journal of Analysis and Applications ISSN 2291-8639 Volume 4, Number 2 (2014), 130-147 http://www.etamaths.com GENERAL STABILITY OF A RECIPROCAL TYPE FUNCTIONAL EQUATION IN THREE VARIABLES K. RAVI1,∗, J.M. RASSIAS2 AND B.V. SENTHIL KUMAR3 Abstract. [42] concerning the stability of group homomorphisms gave rise to the stability problem of functional equations. keywords: equation; mapping; stability cache: ijaa-143.pdf plain text: ijaa-143.txt item: #42 of 571 id: ijaa-1432 author: Meftah, Badreddine title: Fractional Ostrowski Type Inequalities for Functions Whose First Derivatives Are s-Preinvex in the Second Sense date: 2017-11-01 words: 3999 flesch: 86 summary: + 1) − B x−a η(b,a) (s + 1,α If |f′| is s-preinvex in the second sense for some fixed s ∈ (0, 1], then the following inequality for fractional integrals∣∣∣(( x−aη(b,a))α + (1 − x−aη(b,a))α)f(x) − Γ(α+1)(η(b,a))α (Jαx−f(a) + Jαx+f(a + η (b,a)))∣∣∣ ≤ η (b,a) (( B x−a η(b,a) (α + 1,s + 1) + 1 α+s+1 ( 1 − x−a η(b,a) )α+s+1) |f′(a)| + ( 1 α+s+1 ( x−a η(b,a) )α+s+1 + B (s + 1,α keywords: x−a η(b; η(b; − x−a cache: ijaa-1432.pdf plain text: ijaa-1432.txt item: #43 of 571 id: ijaa-1444 author: Khan, Asghar; Farooq, Muhammad; Izhar, Muhammad; Davvaz, Bijaz title: Fuzzy Hyperideals of Left Almost Semihypergroups date: 2017-11-01 words: 7993 flesch: 90 summary: = f ∪ (f ∗S) = f ⊆ f ∪ (S∗f) . Since for any fuzzy subset f in L, we have f ∗ h = f (where h is fixed) implies that h is pure right identity in F (S) and hence an identity. keywords: fuzzy; left cache: ijaa-1444.pdf plain text: ijaa-1444.txt item: #44 of 571 id: ijaa-1448 author: Sen, Mausumi; Dutta, Dhiman; Deshpande, Ashok title: Type-2 Fuzzy G-Tolerance Relation and Its Properties date: 2017-11-01 words: 4396 flesch: 79 summary: In this short communication we generalize the definition of type-2 fuzzy tolerance relation and consequently the type-2 fuzzy G-tolerance relation in type-2 fuzzy sets. The main objective of this paper is to generalize the definition of type-2 fuzzy tolerance relation and consequently the type-2 fuzzy G-tolerance relation in type-2 fuzzy sets. keywords: relation; tolerance; type-2 cache: ijaa-1448.pdf plain text: ijaa-1448.txt item: #45 of 571 id: ijaa-1453 author: Rao, B. Srinivasa; Sricharani, P. title: Time Control Charts Through NHPP Based on Dagum Distribution date: 2018-05-02 words: 3604 flesch: 70 summary: Failure time data of the components Failure Time Failure Time Failure Time Failure Time number number number number 1 1065.55 16 2932.96 31 35.85 46 239.66 2 535.8 17 987.67 32 362.8 47 93.78 3 540.53 18 1816.18 33 357.85 48 680.45 4 716.2 19 117.21 34 334.48 49 4.83 5 2525.43 20 190.65 35 80.13 50 102.91 6 1264.18 21 943.99 36 1939.0 51 479.05 7 479.44 22 1084.48 37 77.88 52 156.67 8 1783.22 23 2306.54 38 4.03 53 1286.24 9 473.67 24 6.56 39 98.67 54 443.97 10 2265.42 25 3111.51 40 17.19 55 360.03 11 2191.75 26 283.86 41 289.79 56 414.66 12 1097.26 27 659.39 42 63.99 57 128.9 13 597.59 28 683.48 43 2.46 58 36.1 14 971.16 29 36.14 44 697.68 59 197.31 15 3157.29 30 754.16 45 1167.33 60 418.12 Int. Mean value function for accumulated failure times of DD Observation Accumulation m(t) Observation Accumulation m(t) of 3 failures of 3 failures 1 2141.88 20.881 11 756.5 20.741 2 4505.81 20.929 12 2353.61 20.888 3 2736.33 20.899 13 180.58 20.222 4 5554.43 20.938 14 370.97 20.554 5 4726.04 20.931 15 1867.47 20.868 6 5736.81 20.939 16 1013.89 20.793 7 1251.85 20.823 17 586.79 20.686 8 3397.58 20.913 18 1886.88 20.869 9 4054.76 20.923 19 903.59 20.774 10 1473.78 20.843 20 651.53 20.711 Int. keywords: control; failure; function; mean; time cache: ijaa-1453.pdf plain text: ijaa-1453.txt item: #46 of 571 id: ijaa-1456 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Iftikhar, Sabah title: Some Characterizations of Harmonic Convex Functions date: 2017-11-01 words: 4347 flesch: 80 summary: We also discuss some basic properties of harmonic convex functions. We have investigated several basic properties of harmonic convex functions. keywords: convex; function; harmonic cache: ijaa-1456.pdf plain text: ijaa-1456.txt item: #47 of 571 id: ijaa-1461 author: Foroutan, Mohammadreza; Ebadian, Ali title: Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line date: 2018-03-06 words: 4477 flesch: 86 summary: = 0, (x,t) ∈ Ω × Ω, (1.1) with the initial condition ϕ(x, 0) = ϕ0(x), x ∈ Ω, (1.2) 2010 Mathematics Subject Classification. damped Burgers equation; Hardy inequalities; mild solutions; semi-groups; strong solution. keywords: burgers; equation cache: ijaa-1461.pdf plain text: ijaa-1461.txt item: #48 of 571 id: ijaa-1465 author: Prasad, K.R.; Khuddush, MD. title: Countably Infinitely Many Positive Solutions for Even Order Boundary Value Problems with Sturm-Liouville Type Integral Boundary Conditions on Time Scales date: 2017-11-01 words: 6430 flesch: 89 summary: [31] considered the 2nth order boundary value problem with integral boundary conditions on time scales, (−1)nu∆ 2n (t) = f ( t,u(t) ) , t ∈ (0, 1)T, u∆ 2i (0) = u∆ 2i (1) = ∫ 1 0 ai+1(x)u ∆2i(x)∆x, 0 ≤ Then for any h(t) ∈ C(J0), the boundary value problem, −u∆∇(t) = h(t), t ∈ J0, (3.1) αiu(0) −βiu∆(0) = ∫ 1 0 ai(s)u(s)∇s, 1 ≤ i ≤ n, (3.2) γiu(1) keywords: scales; time; value cache: ijaa-1465.pdf plain text: ijaa-1465.txt item: #49 of 571 id: ijaa-1467 author: Hamdi Cherif, Mountassir; Ziane, Djelloul title: A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations date: 2017-11-01 words: 4179 flesch: 81 summary: [a,b] (−∞ < a < b < +∞) be a finite interval on the real axis R. The Riemann–Liouville fractional integral Iα0+f of order α ∈ R (α > 0) is defined by (Iα0+f)(t) = 1 Γ (α) ∫ t 0 f(τ)dτ (t− τ)1−α , t > 0, α > 0 (I00+f)(t) = f(t) Here Γ(·) is the gamma function. When α ∈ R+, the time-fractional derivative is defined as (cDαt u)(x,t) = ∂αu(x,t) ∂tα = { 1 Γ(m−α) keywords: aboodh; equations; method; transform cache: ijaa-1467.pdf plain text: ijaa-1467.txt item: #50 of 571 id: ijaa-1472 author: Nwaeze, Eze R.; Kermausuor, Seth title: New Bounds of Ostrowski-Gruss Type Inequality for (k + 1) Points on Time Scales date: 2017-11-01 words: 4827 flesch: 91 summary: (3.8) Now using Lemma 3.1, we get∫ b a K(t,Ik)f ∆(t)∆t = (1 −λ) k∑ i=0 (αi+1 −αi)f(xi) + λ k∑ i=0 (αi+1 −αi) f(αi) + f(αi+1) 2 − ∫ b a fσ(t)∆t. The aim of this paper is to present three new bounds of the Ostrowski–Grüss type inequality for points x0,x1,x2, · · · ,xk on time scales. keywords: αi+1 cache: ijaa-1472.pdf plain text: ijaa-1472.txt item: #51 of 571 id: ijaa-1475 author: Rehman, Atiq Ur; Akbar, M. Hassaan; Farid, G. title: On Giaccardi's Inequality and Associated Functional in the Plane date: 2018-03-06 words: 4943 flesch: 90 summary: In [2], Dragomir gave the definition of convex functions on coordinates as follows. Now we define another important subclass of convex functions i.e. log convex functions. keywords: convex; log; x0,y0 cache: ijaa-1475.pdf plain text: ijaa-1475.txt item: #52 of 571 id: ijaa-148 author: Jhade, Pankaj Kumar; Saluja, A. S. title: Two Step Modified Ishikawa Iteration Scheme for Multi-Valued Mappings in CAT(0) Space date: 2013-11-17 words: 3606 flesch: 82 summary: The set K is called proximal if for each x ∈ X, there exists an element y ∈ K such that ‖x−y‖ = d(x,K), where d(x,K) = inf{‖x− z‖ : z ∈ K}. y ∈ K}. keywords: cat(0; point cache: ijaa-148.pdf plain text: ijaa-148.txt item: #53 of 571 id: ijaa-1503 author: Esi, A.; Subramanian, N. title: Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function date: 2018-01-01 words: 4240 flesch: 84 summary: We study some properties of this operator involving lacunary sequence θ and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces. In this section by using the operator ∆αγ , we introduce some new triple difference sequence spaces involving rough lacunary statistical sequences spaces and arbitrary sequence p = (prst) of strictly positive real numbers. Int. keywords: sequence; triple; ∆αγ cache: ijaa-1503.pdf plain text: ijaa-1503.txt item: #54 of 571 id: ijaa-1508 author: Kablan, Abdullah; Çetin, Mehmet Akif title: Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems date: 2018-01-01 words: 3948 flesch: 84 summary: xn,2mn+1 = b such that for each j ∈{0, 1, ...,n} r = 1 p = 0 on (xj,2k; xj,2k+1] , k = 0, 1, ...,mj − 1 and [ xj,2mj ; xj,2mj+1 ) , xj,2k+1∫ xj,2k w 6= 0, xj,2k+1∫ xj,2k q 6= 0, k = 0, 1, ...,mj, (2.2) and q = w = 0 on [xj,2k+1; xj,2k+2] , xj,2k+2∫ xj,2k+1 r 6= 0, k = 0, 1, ...,mj − 1. ∈ [xj,2k−1; xj,2k), k = 1, 2, ...,mj, j = 0, 1, ...,n and set vj0 = v(xj0+), vj,mj+1 = v(xj,2mj+1−), j = 0, 1, ...,n. (2.7) Lemma 2.1. keywords: boundary; matrix cache: ijaa-1508.pdf plain text: ijaa-1508.txt item: #55 of 571 id: ijaa-1513 author: Aslani, S. Mohammadi; Rostamian Delavar, M.; Vaezpour, S. M. title: Inequalities of Fejer Type Related to Generalized Convex Functions date: 2018-01-01 words: 4435 flesch: 93 summary: dx } = η1(b,a) 2 {∫ a+η1(b,a) a+ 1 2 η1(b,a) g(x) ( 4 [a + η1(b,a) −x η1(b,a) ] |f′(a)| + 2 [a + η1(b,a) −x η1(b,a) ] η2 ( |f′(b)|, |f′(a)| )) Then ∣∣∣∣f(a) + f(b)2 ∫ b a g(x)dx− ∫ b a f(x)g(x)dx ∣∣∣∣ ≤ (b−a) 4 [ 2 ∣∣f′(b)∣∣ + η(|f′(a)|, |f′(b)|)]∫ 1 0 ∫ 1−t 2 a+ 1+t 2 b 1+t 2 a+ 1−t 2 b g(u)dudt. keywords: η1(b cache: ijaa-1513.pdf plain text: ijaa-1513.txt item: #56 of 571 id: ijaa-1514 author: Dehghani, M.B.; Moshtaghioun, S.M.; Dehghani, M. title: On the Limited p-Schur Property of Some Operator Spaces date: 2018-01-01 words: 5553 flesch: 83 summary: For every y ∗ ∈ Y ∗, the set {T∗ny∗ : n ∈ N} is a Dunford-Pettis subset of X∗. Since (xn) is weakly null, it follows that 〈Tnxn,y∗〉 = 〈T∗ny ∗,xn〉→ 0 for every y∗ ∈ Y ∗. If every limited subset of Banach space X is relatively compact, then X has the Gelfand-Phillips (GP) property. keywords: banach; property; schur; sequence; space cache: ijaa-1514.pdf plain text: ijaa-1514.txt item: #57 of 571 id: ijaa-1515 author: Nouri, M.; Rahimi, A.; Najafzadeh, SH. title: Some Results on Controlled K-Frames in Hilbert Spaces date: 2018-01-01 words: 4752 flesch: 83 summary: H → l2 T∗f = {〈f,fn〉}∞n=1, ∀f ∈ H. Let S = TT∗, we obtain Sf = ∞∑ n=1 〈f,fn〉fn, ∀f ∈ H. we call T, T∗ and S the synthesis operator, analysis operator and frame operator for K-frame {fn}∞n=1, respectively. Frame operator of a K-frames is not invertible on H in general, but we can show that it is invertible on the subspace R(K) ⊂ H. keywords: frame; k=1; operator; sequence cache: ijaa-1515.pdf plain text: ijaa-1515.txt item: #58 of 571 id: ijaa-1520 author: Ahmad, Bakhtiar; Arif, Muhammad title: New Subfamily of Meromorphic Convex Functions in Circular Domain Involving q-Operator date: 2018-01-01 words: 2614 flesch: 87 summary: Meromorphic functions; Janowski functions; q-differential operator. � References [1] I. Aldawish and M. Darus, Starlikness of q-differential operator involving quantum calculus, Korean J. Math., 22(4)(2014), 699 − 709. keywords: n=1 cache: ijaa-1520.pdf plain text: ijaa-1520.txt item: #59 of 571 id: ijaa-1524 author: Sousa, J. Vanterler da C.; Oliveira, E. Capelas de title: A New Truncated M-Fractional Derivative Type Unifying Some Fractional Derivative Types with Classical Properties date: 2018-01-01 words: 4999 flesch: 73 summary: Let f : [0,∞) → R. For 0 < α < 1 a truncated M-fractional derivative type of f of order α, denoted by iD α,β M , is iD α,β M f (t) := lim ε→0 f (t iEβ (εt−α)) Note that, if f is α-differentiable in some open interval (0,a), a > 0, and lim t→0+ ( iD α,β M f (t) ) exist, then we have iD α,β M f (0) = lim t→0+ ( iD α,β M f (t) ) . keywords: derivative cache: ijaa-1524.pdf plain text: ijaa-1524.txt item: #60 of 571 id: ijaa-1531 author: Gulistan, Muhammad; Khan, Asghar; Abdullahc, Amir; Yaqoob, Naveed title: Complex Neutrosophic Subsemigroups and Ideals date: 2018-01-01 words: 6057 flesch: 82 summary: We define characteristic function of complex neutrosophic set, direct product of complex neutrosophic sets, complex neutrosophic ideals (left, right, interior) and proved some results. complex fuzzy sets; complex neutrosophic sets; fuzzy subsemigroups; complex neutrosophic sub- semigroups; complex neutrosophic ideals. keywords: complex; ideal; neutrosophic; set cache: ijaa-1531.pdf plain text: ijaa-1531.txt item: #61 of 571 id: ijaa-1532 author: Khan, Waseem A.; Khan, Idrees A.; Ahmad, Moin title: Implicit Summation Formula for 2-Variable Laguerre-Based Poly-Genocchi Polynomials date: 2018-11-01 words: 3727 flesch: 88 summary: + 1 exp(yt)C0(xt) = ∞∑ n=0 LG (k) n (x,y) tn n! , (2.1) so that LG (k) n (x,y) = n∑ m=0   n m  G(k)n−mLm(x,y). Using generating function for Laguerre-based poly-Genocchi polynomials (2.1), we have ∞∑ n=0 LG (k) n (x,y) tn n! = 2Lik(1 −e−t) et keywords: n=0 cache: ijaa-1532.pdf plain text: ijaa-1532.txt item: #62 of 571 id: ijaa-1534 author: Abdel-Baky, Rashad A. title: Evolutes of Hyperbolic Dual Spherical Curve in Dual Lorentzian 3-Space date: 2017-11-01 words: 5695 flesch: 85 summary: Basic concepts In this section we list some notions, formulas and conclusions for the theory of dual numbers and dual Lorentzian vectors (See for instance Refs. Let X : I ⊆ D → H2+ or S21 be a unit speed dual curve with Σ2 6= ±1. keywords: curve; dual; timelike; x(s cache: ijaa-1534.pdf plain text: ijaa-1534.txt item: #63 of 571 id: ijaa-1536 author: Jena, B. B.; --, Vandana; Paikray, S. K.; Misra, U. K. title: On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series date: 2018-03-06 words: 2786 flesch: 79 summary: In the proposed paper a new result on local property of |A; δ|k-summability of factored Fourier series has been established that generalizes a theorem of Sarigöl [13] (see [M. A. Sariögol, On local property of |A|k-summability of factored Fourier series, J. Math. keywords: fourier; property; series; summability; v=1 cache: ijaa-1536.pdf plain text: ijaa-1536.txt item: #64 of 571 id: ijaa-1538 author: Sharma, Sunil K. title: Ideal Convergent Sequence Spaces with Respect to Invariant Mean and a Musielak-Orlicz Function Over n-Normed Spaces date: 2018-11-01 words: 4506 flesch: 94 summary: ={ x ∈ w : { k ∈ N : ={ x ∈ w : { k ∈ N : keywords: zn−1|| cache: ijaa-1538.pdf plain text: ijaa-1538.txt item: #65 of 571 id: ijaa-1543 author: Ibrahim, Rabha W. title: Maximize Minimum Utility Function of Fractional Cloud Computing System Based on Search Algorithm Utilizing the Mittag-Leffler Sum date: 2018-01-01 words: 4324 flesch: 66 summary: Fractional utility functions, for the first time are suggested by the authors in [3]- fractional calculus; fractional differential equation; fractional differential operator; utility function; cloud computing system . keywords: agent; ccs; function; utility cache: ijaa-1543.pdf plain text: ijaa-1543.txt item: #66 of 571 id: ijaa-1549 author: Khan, Shahid; Hussain, Saqib; Zaighum, Muhammad Asad; Khan, Muhammad Mumtaz title: New Subclass of Analytic Functions in Conical Domain Associated with Ruscheweyh q-Differential Operator date: 2018-03-06 words: 4875 flesch: 95 summary: The extremal functions for these conic regions are pk (z) =   1+z 1−z , k = 0, 1 + 2 π2 ( log 1+ √ z 1− √ z )2 , k = 1, 1 1−k2 cosh {( 2 π arccos k ) log 1+ √ z 1− √ z } − k 2 1−k2 , 0 < − 2D(k) 2 − (A−B) 2{q + keywords: f(z cache: ijaa-1549.pdf plain text: ijaa-1549.txt item: #67 of 571 id: ijaa-1560 author: Gulsen, Tuba; Sian, Shaida Saber Mawlood; Yilmaz, Emrah; Koyunbakan, Hikmet title: Impulsive Diffusion Equation on Time Scales date: 2018-01-01 words: 4641 flesch: 76 summary: Here, we want to state some major spectral properties of impulsive diffusion eigenvalue problem of the form Ly = −y∆∆(t) Now, we give some information related to the physical meaning and historical development of diffusion equation in classical spectral theory. keywords: appl; diffusion; problem; time; ρ(a cache: ijaa-1560.pdf plain text: ijaa-1560.txt item: #68 of 571 id: ijaa-1575 author: Ardakani, Halimeh; Salimi, Manijeh title: L-Dunford-Pettis and Almost L-Dunford-Pettis Sets in Dual Banach Lattices date: 2018-03-06 words: 6096 flesch: 79 summary: A Banach space X has the DP property iff each L–DP set in X∗ is an L–set. Proof. It is clear that disjoint DP sequence (zk) tends weakly to zero, but ‖zk‖≥ d. keywords: banach; sequence; set cache: ijaa-1575.pdf plain text: ijaa-1575.txt item: #69 of 571 id: ijaa-1576 author: Jaleb, H.; Adibi, H. title: New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation date: 2018-11-01 words: 4981 flesch: 76 summary: In this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations. proposed Chebyshev collocation method to discretize space fractional diffusion equations to obtain a linear system of ordinary differential equations and he solved the resulting system by finite difference method keywords: appl; equation; fractional; method; solution cache: ijaa-1576.pdf plain text: ijaa-1576.txt item: #70 of 571 id: ijaa-1579 author: Korpınar, Talat; Demirkol, Rıdvan Cem; Asil, Vedat title: Curvature Dependent Energy of Surface Curves in Minkowski Space date: 2018-03-06 words: 3568 flesch: 76 summary: Moreover, total surface energy can be obtained by integrating the energy of the small area element over the entire surface In this paper, we firstly introduce kinematics properties of the moving particle lying on a surface S. We assume that the particle corresponds to a different type of surface curves such that they are characterized by using the Darboux vector field W in Minkowski spacetime. keywords: energy; particle; surface; vector cache: ijaa-1579.pdf plain text: ijaa-1579.txt item: #71 of 571 id: ijaa-1581 author: Gulle, Esra; Ulusu, Ugur title: Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets date: 2018-03-06 words: 3592 flesch: 83 summary: ≥ δ 1 + δ · lim r→∞ 1 hr ∣∣∣{k ∈ Ir : |dx(Ak+nkr ) −dx(A)| ≥ ε}∣∣∣. By the definition of lacunary sequence, we can write r instead of kr. 16 (2) (2018) 227 uniformly in n. In this case, we will write (WQS)θ − lim Ak = A or Ak (WQS)θ−→ A. keywords: sequence; wijsman cache: ijaa-1581.pdf plain text: ijaa-1581.txt item: #72 of 571 id: ijaa-1582 author: Gouasmia, Manel; Ardjouni, Abdelouaheb; Djoudi, Ahcene title: Periodic and Nonnegative Periodic Solutions of Nonlinear Neutral Dynamic Equations on a Time Scale date: 2018-03-06 words: 5344 flesch: 88 summary: t ∈ T. t ∈ T. (1.1) Throughout this paper we assume that a and τ are positive rd-continuous functions, id − τ : T → T is increasing so that the function x (t− τ (t)) is well defined over T. The function h is continuous, Q and G satisfying the Caratheodory condition. keywords: theorem; t−t cache: ijaa-1582.pdf plain text: ijaa-1582.txt item: #73 of 571 id: ijaa-1587 author: Sofiane, Dhelis; Abdelfatah, Bouziani; Taki-Eddine, Oussaeif title: Study of Solution for a Parabolic Integrodifferential Equation with the Second Kind Integral Condition date: 2018-07-01 words: 8289 flesch: 81 summary: + 3 f(x,t) = et(π2cos(πx) + (cos(πx) + x)(1 − t) − 3) + 3 K0(x,t) parabolic integrodifferential equation; nonlocal problem; energy inequality. keywords: = ∫; equation; problem; solution cache: ijaa-1587.pdf plain text: ijaa-1587.txt item: #74 of 571 id: ijaa-1602 author: Rassias, John Michael; Murali, R.; Raj, A. Antony title: Stability of Euler-Lagrange-Jensen's (a,b)- Sextic Functional Equation in Multi-Banach Spaces date: 2018-03-06 words: 2551 flesch: 82 summary: xk ∈ X } Then it is easy to show that Ψ,d is a generalized complete metric space, See [8]. In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a,b)-Sextic Func- tional Equation in Multi-Banach Spaces. keywords: stability cache: ijaa-1602.pdf plain text: ijaa-1602.txt item: #75 of 571 id: ijaa-1605 author: Hocine, Kouider Miloud; Messirdi, Bekkai; Benharrat, Mohammed title: Left and Right Generalized Drazin Invertibility of an Upper Triangular Operator Matrices with Application to Boundary Value Problems date: 2019-01-06 words: 5921 flesch: 80 summary: 17 (1) (2019) 108 The concept of Drazin invertible operators has been generalized by Koliha ( [18]) by replacing the nilpotent operator U in (1.2) by a quasi-nilpotent operator one. Drazin invertible operator =⇒ Right (resp. Left) generelazed Drazin invertible operator. keywords: drazin; invertible; operator; right; −λi;   cache: ijaa-1605.pdf plain text: ijaa-1605.txt item: #76 of 571 id: ijaa-1606 author: Board, Editorial title: Retraction Notice to "Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Associated with Dziok-Srivastava Operator" date: 2018-07-01 words: 125 flesch: 27 summary: International Journal of Analysis and Applications Volume 16, Number 4 (2018), 594-594 URL: https://doi.org/10.28924/2291-8639 DOI: 10.28924/2291-8639-16-2018-594 Retraction Notice to “Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Associated with Dziok-Srivastava Operator” This article has been retracted for multiple submissions and duplicate publication (see e.g. keywords: https://doi.org/10.28924/2291-8639 cache: ijaa-1606.pdf plain text: ijaa-1606.txt item: #77 of 571 id: ijaa-1607 author: Bakhit, M.A. title: Q_K-Type Spaces of Quaternion-Valued Functions date: 2018-05-02 words: 3059 flesch: 89 summary: Quaternion function spaces. In quaternion case, several authors have studied function spaces and classes like Qp,QK classes and F(p,q,s) spaces, see keywords: quaternion cache: ijaa-1607.pdf plain text: ijaa-1607.txt item: #78 of 571 id: ijaa-1609 author: Yeganehmanesh, Sh.; Amirfakhrian, M. title: An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers date: 2018-03-06 words: 4496 flesch: 83 summary: Introduction Comparison of fuzzy numbers is an indispensable part of most systems using such numbers. To this end, many researchers active in the Fuzzy Theory domain have tried to make fuzzy numbers comparable. keywords: approximation; number cache: ijaa-1609.pdf plain text: ijaa-1609.txt item: #79 of 571 id: ijaa-1611 author: Nozohour Yazdi, Mehrdad; Delavarkhalafi, Ali title: Robust Stability and Design of State Feedback Controller for Straightforward Active Queue Management date: 2018-09-04 words: 5765 flesch: 79 summary: Among the categories in control systems, networked control systems (NCS) are a category in which sensors, actuators, and controllers are connected though a network. The queue length of network control system. keywords: control; int; network; queue; stability; state; system cache: ijaa-1611.pdf plain text: ijaa-1611.txt item: #80 of 571 id: ijaa-1613 author: Subramanian, N.; Esi, A. title: Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences date: 2018-09-03 words: 4873 flesch: 84 summary: Consider a triple sequence x = (xmnk) such that xmnk ∈ R,m,n,k ∈ N. Received 2017-10-29; accepted 2018-01-13; published 2018-09-05. 2010 Mathematics Subject Classification. ∈ R, written as st − lim x = 0, provided that the set { (m,n,k) ∈ N3 : |xmnk, 0| ≥ � } has natural density zero for any � > 0. keywords: amnk; sequence cache: ijaa-1613.pdf plain text: ijaa-1613.txt item: #81 of 571 id: ijaa-1614 author: Al Tahan, M.; Davvaz, B. title: Generalized Complex Fuzzy and Anti-Fuzzy H_v-Subgroups date: 2018-09-03 words: 7635 flesch: 85 summary: z ∈ x◦y}≥ min{µA(x),µA(y)} for all x,y ∈ H; (2) For all x,a ∈ H, there exists y ∈ H such that x ∈ a◦y and min{µA(x),µA(a)}≤ µA(y); (3) For all x,a ∈ H, there exists z ∈ H such that x ∈ z ◦a and min{µA(x),µA(a)}≤ µA(z). z ∈ x◦y}≤ max{µA(x),µA(y)} for all x,y ∈ H; (2) For all x,a ∈ H, there exists y ∈ H such that x ∈ a◦y and µA(y) ≤ keywords: subgroup; subhypergroup; y ∈; ∈ h cache: ijaa-1614.pdf plain text: ijaa-1614.txt item: #82 of 571 id: ijaa-162 author: Chugh, Renu; Singh, Mukesh; Vashisht, L. K. title: On Λ-Type Duality of Frames in Banach Spaces date: 2013-11-17 words: 5683 flesch: 80 summary: It is interested to know the class of retro Banach frames which always admits dual retro Banach frames. Due to the presence of three Banach spaces in the definition of retro Banach frames (or Banach frames) duality of frames in Banach spaces is not similar to frames for Hilbert spaces. keywords: banach; banach frame; dual; frame; operator; retro; retro banach cache: ijaa-162.pdf plain text: ijaa-162.txt item: #83 of 571 id: ijaa-1622 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Iftikhar, Sabah; Khan, Awais Gul title: Harmonic m-Preinvex Functions and Inequalities date: 2018-05-02 words: 4417 flesch: 87 summary: It is shown that several new classes of harmonic convex functions and harmonic preinvex functions can be obtained as special case. In this paper we have introduced and studied a new class of harmonic preinvex functions with respect to an arbitrary non-negative function h and the parameter m. It is shown that this class of harmonic m-preinvex functions is quite general, flexible and unifying one. keywords: a(a; functions; harmonic; η(mb cache: ijaa-1622.pdf plain text: ijaa-1622.txt item: #84 of 571 id: ijaa-1624 author: Shojaei, Hossein; Ameri, Reza title: Various Kinds of Freeness in the Categories of Krasner Hypermodules date: 2018-11-01 words: 6757 flesch: 83 summary: It is easy to see that 〈x〉 = {a ∈ rx + mx + n∑ i=1 ni(x−x) | r ∈ R, m ∈ Z, n,ni ∈ N}. The relation γ is defined on R is defined as follows: for all x,y ∈ R, xγy ⇐⇒∃u ∈U(R) : x,y ∈ u. The transitive closure of the relation γ is called the fundamental relation of R denoted by γ∗. Let γ∗(r) denote the equivalence class containing r ∈ R. Then it is shown that R γ∗ with the sum ⊕ and product ⊗ is a ring as follows: Int. keywords: hypermodule; krasner cache: ijaa-1624.pdf plain text: ijaa-1624.txt item: #85 of 571 id: ijaa-1641 author: Abdel-Aziz, H. S.; Saad, M. Khalifa; Mohamed, S. A. title: On Dual Curves of DAW(k)-Type and Their Evolutes date: 2018-09-03 words: 5474 flesch: 87 summary: Let α̂ be a unit speed dual curve with arc length parameter ŝ and {T̂, N̂1, N̂2} be its Bishop frame. [4] The unit speed dual curves of osculating order 3 are (i): of Bishop DAW(1)−type if and only if V̂3 = 0, (ii): of Bishop DAW(2)−type if and only if ∥∥∥V̂2∥∥∥2 V̂3 = 〈V̂3, V̂2〉 V̂2, (iii): of Bishop DAW(3)−type if and only if ∥∥∥V̂1∥∥∥2 V̂3 = 〈V̂3, V̂1〉 V̂1. keywords: cos; curve; sin; surface; unit cache: ijaa-1641.pdf plain text: ijaa-1641.txt item: #86 of 571 id: ijaa-1649 author: Mishra, Vishnu Narayan; Delen, Sadik; Cangul, Ismail Naci title: Algebraic Structure of Graph Operations in Terms of Degree Sequences date: 2018-11-01 words: 4919 flesch: 85 summary: + 3, (r + s + 2)(t+m−2), r + s + 1, r + s + 3   Tr,s Kt,m { (t + m + 2)(r+s−2), t + m The join G1∨G2 of graphs G1 and G2 with disjoint vertex sets V (G1) and V (G2) and edge sets E(G1) and E(G2) is the graph union G1 ∪G2 together with all the edges joining V (G1) and V (G2). keywords: s + cache: ijaa-1649.pdf plain text: ijaa-1649.txt item: #87 of 571 id: ijaa-1655 author: Azar, Muhammad; Gulistan, Muhammad; Yaqoob, Naveed; Kadry, Seifedine title: On Fuzzy Ordered LA-Semihypergroups date: 2018-03-06 words: 5287 flesch: 90 summary: = (H ∗ H) ∗f = (f ∗ H) ∗ H ⊆ f ∗ H ⊆ f. A fuzzy subset f of an ordered LA-semihypergroup H is a fuzzy left (resp., right) hyperideal of H if and only if (i) H ∗f ⊆ f (resp., f ∗ H ⊆ f) (ii) if a ≤ b implies f (a) ≥ f (b) , for every a,b ∈ H. Proof. keywords: fuzzy cache: ijaa-1655.pdf plain text: ijaa-1655.txt item: #88 of 571 id: ijaa-1656 author: Khan, Raees; Khan, Asghar; Khan, Muhammad Uzair; Khan, Nasir title: Union soft set theory applied to ordered semigroups date: 2020-07-23 words: 7858 flesch: 93 summary: Semilattices of left and right simple semigroups A subsemigroup F of S is called a filter (see [5]) of S if: (1) (∀a,b ∈ S) (ab ∈ F =⇒ a ∈ F and b ∈ F) and (2) (∀a ∈ S)(∀b ∈ F)(a ≥ b =⇒ a ∈ F). Let x,y ∈ S with x ≤ y be such that FS(x) ⊃ FS(y) = δy then y ∈ eS(FS; δy) but x /∈ eS(FS; δy). keywords: ideal cache: ijaa-1656.pdf plain text: ijaa-1656.txt item: #89 of 571 id: ijaa-1658 author: Madandar, F.; Haghayeghi, S.; Vaezpour, S. M. title: Characterization of Nash Equilibrium Strategy for Heptagonal Fuzzy Games date: 2018-05-02 words: 5932 flesch: 85 summary: In the sequel, the existence of Pareto Nash equilibrium strategies and weak Pareto Nash equilibrium strategies is investigated for fuzzy matrix games. In 2005, C. R. Bector and S. Chandra [1] provided fuzzy mathematical programming and fuzzy matrix games. keywords: equilibrium; nash cache: ijaa-1658.pdf plain text: ijaa-1658.txt item: #90 of 571 id: ijaa-166 author: Krasniqi, Xhevat Z. title: On the Behavior near the Origin of a Sine Series with Coefficients of Monotone Type date: 2013-10-08 words: 2811 flesch: 85 summary: Popov, Estimates for the sums of sine series with monotone coefficients of certain classes, (Russian) Mat. [9] Xh. Z. Krasniqi, Some estimates of r-th derivative of the sums of sine series with monotone coefficients of higher order near the origin. keywords: m=1; series cache: ijaa-166.pdf plain text: ijaa-166.txt item: #91 of 571 id: ijaa-1662 author: Oztunc Kaymak, Oznur title: Some Remarks on the Zeros of Tribonacci Polynomials date: 2018-05-02 words: 2223 flesch: 71 summary: Unlike Fibonacci polynomials, explicit forms for the zeros of Tribonacci polynomials have not been found yet. M. X. He, D. Simon, P. E. Ricci, Dynamics of the zeros of Fibonacci polynomials, Fibonacci Quart. keywords: polynomials; zeros; |z| cache: ijaa-1662.pdf plain text: ijaa-1662.txt item: #92 of 571 id: ijaa-1665 author: Ulusu, Ugur; Dundar, Erdinc; Nuray, Fatih title: Lacunary I_2-Invariant Convergence and Some Properties date: 2018-05-02 words: 3701 flesch: 82 summary: (N×N\M2 = H ∈Iσθ2 ) such that lim k,j→∞ (k,j)∈M2 xkj = L. (2.1) In this case, we write Iσθ2∗ − lim xkj = L or xkj → L ( Iσθ2∗ ) . The double sequence θ = {(kr,ju)} is called double lacunary sequence if there exist two increasing sequence of integers such that k0 = 0, hr = kr −kr−1 →∞ and j0 = 0, h̄u = ju − ju−1 →∞ as r,u →∞. We use the following notations in the sequel: kru = krju, hru = hrh̄u, Iru = {(k,j) : keywords: convergence; lim; sequence; xkj cache: ijaa-1665.pdf plain text: ijaa-1665.txt item: #93 of 571 id: ijaa-167 author: Janani, T.; Murugusundaramoorthy, G. title: Coefficient Estimates of Meromorphic Bi- Starlike Functions of Complex Order date: 2013-10-08 words: 3426 flesch: 82 summary: [2] introduced certain subclasses of bi-univalent function class Σ, namely bi- starlike functions S∗Σ(α) and bi-convex function KΣ(α) of order α corresponding to the function classes S∗(α) and K(α) respectively. [2] D.A. Brannan, T.S. Taha, On some classes of bi-univalent functions, in: S.M. Mazhar, A. Hamoui, N.S. Faour (Eds.), Mathematical Analysis and its Applications, Kuwait; February 18–21, 1985, in: KFAS Proceedings Series, vol. 3, Pergamon Press, Elsevier Science Limited, Oxford, 1988, 53–60. keywords: class; functions cache: ijaa-167.pdf plain text: ijaa-167.txt item: #94 of 571 id: ijaa-1672 author: Latif, N.; Siddique, N.; Pecaric, J. title: Majorization Inequalities via Peano's Representation of Hermite's Polynomial date: 2018-05-02 words: 10202 flesch: 84 summary: We have v 7→ ( θv(x) x )′′ (t ∈ R) is exponentially convex for every fixed x ∈ R. Using analogous arguing as in the proof of Theorem 4.3 we also have that v 7→ θv[z0, ...,zt] is exponentially convex (and so exponentially convex in the Jensen sense). The Green’s function GH,n(t,s) has the following properties: (i) GH,n(t,s) w(t) > 0,a1 ≤ t ≤ ar,a1 ≤ s ≤ ar; (ii) GH,n(t,s) ≤ 1(n−1)!(β−α)|w(t)|; (iii) ∫β α GH,n(t,s)ds = w(t) n! . keywords: inequalities; l=1 cache: ijaa-1672.pdf plain text: ijaa-1672.txt item: #95 of 571 id: ijaa-1675 author: Yiarayong, Pairote; Siripitukdet, Manoj title: On Weakly 2-Absorbing Semi-Primary Submodules of Modules over Commutative Rings date: 2018-05-02 words: 8083 flesch: 91 summary: If a1a2m ∈ N, then 0 6= We say that a proper submodule N of M is a weakly 2-absorbing semi-primary submodule if a1,a2 ∈ R,m ∈ N with 0 6= keywords: a1a2; submodule cache: ijaa-1675.pdf plain text: ijaa-1675.txt item: #96 of 571 id: ijaa-1679 author: Yousafzai, Faisal; Asif, Tauseef; Khan, Asghar; Davvaz, Bijan title: A Study of Non-Associative Ordered Semigroups in Terms of Semilattices via Smallest (Double-Framed Soft) Ideals date: 2018-07-01 words: 8038 flesch: 89 summary: For x,y ∈ S, we discuss the following two cases. On DFS strongly regular ordered AG-groupoids Throughout this paper, let E = S, where S is a unitary ordered AG-groupoid, unless otherwise stated. keywords: dfs; f+a; ideal; ordered cache: ijaa-1679.pdf plain text: ijaa-1679.txt item: #97 of 571 id: ijaa-168 author: Oubeid, M.L. Ahmed; Benkirane, A.; Vally, M. Sidi El title: Parabolic Equations in Musielak-Orlicz-Sobolev Spaces date: 2013-11-17 words: 6916 flesch: 82 summary: If, in the statement of Theorem 1, one consider Ω×R instead of Q, we have D(Ω×R) is dense in u ∈ W 1,x0 Lϕ(Ω×R)∩L 2(Ω×R) : ∂u ∂t ∈ W 1,x0 Lψ(Ω× R) + L2(Ω × R) for the modular convergence. Now let vj ∈D(Ω ×R) be the sequence given by Theorem 1 corresponding to u, that is, vj → u ∈ W 1,x 0 Lϕ(Ω×R)∩L 2(Ω×R) and ∂vj ∂t → ∂u ∂t ∈ W−1,xLψ(Ω×R)+L2(Ω×R) for the modular convergence. keywords: a(x; lim; orlicz; spaces cache: ijaa-168.pdf plain text: ijaa-168.txt item: #98 of 571 id: ijaa-1681 author: Kazan, Ahmet; Karadag, H. Bayram title: Weighted Minimal and Weighted Flat Surfaces of Revolution in Galilean 3-Space with Density date: 2018-05-02 words: 4080 flesch: 83 summary: Also, we investigate some cases of weighted minimal surfaces of revolution according to ai, i = 1, 2, 3 and weighted flat surfaces of revolution. In the present paper, we obtain the weighted mean curvature and weighted Gaussian curvature of three types of surfaces of revolution in Galilean 3-space with density ea1x 2+a2y 2+a3z 2 , ai ∈ R not all zero and investigate some cases of weighted minimal surfaces of revolution according to ai, i = 1, 2, 3 and weighted flat surfaces of revolution. keywords: curvature; density; revolution; space; surface cache: ijaa-1681.pdf plain text: ijaa-1681.txt item: #99 of 571 id: ijaa-1683 author: Ibrahim, Hariwan Z. title: On alpha_(gamma, gamma^')-Separation Axioms date: 2018-09-04 words: 3966 flesch: 92 summary: A topological space (X,τ) is said to be: (1) α-T0 [6] if for any two distinct points x,y ∈ X, there exists an α-open set U such that either x ∈ U and y /∈ [6] if for any two distinct points x,y ∈ X, there exist two α-open sets U and V containing x and y, respectively, such that y /∈ keywords: α(γ cache: ijaa-1683.pdf plain text: ijaa-1683.txt item: #100 of 571 id: ijaa-1684 author: Ibrahim, Hariwan Z. title: A New type of Connected Sets via Bioperations date: 2018-07-01 words: 4601 flesch: 90 summary: [2] For a point x ∈ X, x ∈ α(γ,γ′ )-Cl(A) -continuous, there exists an α(γ,γ′ )-open set U of X containing x such that f(U) ⊆ V and hence U ⊆ f−1(V ), this implies that x ∈ α(γ,γ′ )-Int(f −1(V )). keywords: α(γ cache: ijaa-1684.pdf plain text: ijaa-1684.txt item: #101 of 571 id: ijaa-1685 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Iftikhar, Sabah; Safdar, Farhat title: Some Properties of Generalized Strongly Harmonic Convex Functions date: 2018-05-02 words: 3854 flesch: 81 summary: In this paper, we introduce a new class of harmonic convex functions with respect to an arbitrary trifunction F(·, ·, ·) : K×K×[0, 1] → R, which is called generalized strongly harmonic convex functions. [1] and Iscan [5] have investigated various properties of harmonic convex functions. keywords: convex; harmonic cache: ijaa-1685.pdf plain text: ijaa-1685.txt item: #102 of 571 id: ijaa-1688 author: Rasheed, Akhter; Hussain, Saqib; Zaighum, Muhammad Asad; Shareef, Zahid title: Analytic Functions Related with Mocanu Class date: 2018-11-01 words: 3485 flesch: 92 summary: (iii) 2F1 (a,b,c; z) = (1 −z) −a 2F1 ( a,c− b,c; z z − 1 ) . −2(γ−1)/β dt = { 2F1 ( 2 β (1 −γ) , 1; 1 β + 1; z z − 1 )}−1 . which is the required result. keywords: functions cache: ijaa-1688.pdf plain text: ijaa-1688.txt item: #103 of 571 id: ijaa-169 author: Latreuch, Zinelaâbidine; BELAIDI, Benharrat title: Properties of Solutions of Complex Differential Equations in the Unit Disc date: 2013-11-17 words: 6571 flesch: 88 summary: f = α0,k−1f + α1,k−1f ′ + · · · + αk−1,k−1f(k−1). Definition 1.1 Let f be a meromorphic function in ∆, and D (f) := lim sup r→1− T (r,f) log 1 1−r = b. If b < ∞, we say that f is of finite b degree (or is non-admissible). keywords: meromorphic; ρp+1 cache: ijaa-169.pdf plain text: ijaa-169.txt item: #104 of 571 id: ijaa-1691 author: Ibrahim, Rabha; Hadid, Samir title: The EOQ Model: A Differential Cyclic System for Calculating Economic Order Quantity date: 2018-05-02 words: 2451 flesch: 75 summary: Discussion In general, economic can be performed by a set of fixed points; thus fixed point theorems can provide the equilibria of economic. The set of fixed points of a non-expansive mapping Π : B → B is either empty or closed and convex. keywords: point cache: ijaa-1691.pdf plain text: ijaa-1691.txt item: #105 of 571 id: ijaa-1692 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Iftikhar, Sabah; Safdar, Farhat title: Generalized (h,r)-Harmonic Convex Functions and Inequalities date: 2018-07-01 words: 4925 flesch: 89 summary: [35] G. S. Yang, Refinements of Hadamards inequality for r -convex functions, Indian J. Pure Appl. The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h, which is called generalized (h,r)-harmonic convex functions. keywords: convex cache: ijaa-1692.pdf plain text: ijaa-1692.txt item: #106 of 571 id: ijaa-1701 author: Ghosh, M K title: On g-β-Irresolute Functions on Generalized Topological Spaces date: 2018-07-01 words: 6631 flesch: 90 summary: [1] introduced the notions of β-open sets and β-continuity in topological spaces early in 1983. Andrijevic [3] introduced the notion of semi-preopen sets which are equivalent to β-open sets. keywords: open cache: ijaa-1701.pdf plain text: ijaa-1701.txt item: #107 of 571 id: ijaa-1709 author: Kashif, A. R.; Khan, T. S.; Qayyum, A.; Faye, I. title: A Comparison and Error Analysis of Error Bounds date: 2018-09-03 words: 3247 flesch: 82 summary: In this paper, we present an error analysis with the help of Ostrowski type inequalities for n-times differentiable mappings by using n-times peano kernel. With the help of different Peano kernels, different types of Ostrowski type inequalities can be obtained. keywords: 2n+1; error; −1)n cache: ijaa-1709.pdf plain text: ijaa-1709.txt item: #108 of 571 id: ijaa-1711 author: Nawaz, Shah; Rehman, Inayatur; Gulistan, Muhammad title: On Left Almost Semihyperrings date: 2018-07-01 words: 5293 flesch: 90 summary: ∈ R/N, ∀ x,y,z ∈ R, we have (N(x) � N(y)) (3) Now let N(x),N(y),N(z) ∈ R/N, ∀ x,y,z ∈ R, then consider N(x) � (N(y) � N(z)) keywords: left cache: ijaa-1711.pdf plain text: ijaa-1711.txt item: #109 of 571 id: ijaa-1723 author: Mishra, Lakshmi Narayan; Singh, Sukhdev; Mishra, Vishnu Narayan title: On Integrated and Differentiated C_2-Sequence Spaces date: 2018-11-01 words: 3093 flesch: 90 summary: The auxiliary complex spaces A1 and A2 are defined as follows: A1 = { 1ξ : ξ ∈ C2 } and A2 = { 2ξ : ξ ∈ C2 } . [7] S.D. Prashar and B Chaudhary, Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. keywords: bv(c2,m,‖.‖; sequence; spaces cache: ijaa-1723.pdf plain text: ijaa-1723.txt item: #110 of 571 id: ijaa-1724 author: Deger, Serbun Ufuk; Bolat, Yasar title: Stability Conditions of a Class of Linear Retarded Differential Systems date: 2018-06-30 words: 3150 flesch: 88 summary: = ωj. Introduction and preliminaries Retarded differential equations are a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times. keywords: 2qj; cos cache: ijaa-1724.pdf plain text: ijaa-1724.txt item: #111 of 571 id: ijaa-1728 author: Rashid, Sheikh; Yaqoob, Naveed; Akram, Muhammad; Gulistan, Muhammad title: Cubic Graphs with Application date: 2018-09-03 words: 4926 flesch: 91 summary: We introduce certain concepts, including cubic graphs, internal cubic graphs, external cubic graphs, and illustrate these concepts by examples. We deal with fundamental operations, Cartesian product, composition, union and join of cubic graphs. keywords: cubic; figure; graphs cache: ijaa-1728.pdf plain text: ijaa-1728.txt item: #112 of 571 id: ijaa-1729 author: Mutlu, Ali; Ozkan, Kubra; Gurdal, Utku title: A New Fixed Point Theorem in Modular Metric Spaces date: 2018-06-30 words: 3895 flesch: 90 summary: Let x ∈ Xω be an arbitrary point. We define a function φ : Xω → R+ by φ(u) = lim m→∞ ωλ(u,xm), u ∈ Xω for all λ > 0. keywords: modular cache: ijaa-1729.pdf plain text: ijaa-1729.txt item: #113 of 571 id: ijaa-1733 author: Moosavi, Zahra Ahmadi; Nazari, Akbar title: Controlled *-G-Frames and *-G-Multipliers in Hilbert Pro-C*-Modules date: 2019-01-04 words: 4434 flesch: 85 summary: To illustrate this, let Λ = {Λj}j∈J be a g-frame for U with respect to {Vj}j∈J. Note that for f ∈ U, ( √ C)1A〈f,f〉( √ C)1A ≤ ∑ j∈J〈Λjf, Λjf〉( √ D)1A〈f,f〉( √ D)1A Therefore, every g-frame for U with real bounds C amd D is a ∗-g-frame for U with A-valued ∗-g-frame bounds ( √ C)1A and ( √ D)1A. Example 3.1. We say T is adjointable if there exists an operator T∗ ∈ T ∈ HomA(F,E) such that: 〈Tx,y〉 = 〈x,T∗y〉 holds for all x ∈ E,y ∈ F. keywords: hilbert; ∗-g cache: ijaa-1733.pdf plain text: ijaa-1733.txt item: #114 of 571 id: ijaa-1737 author: Choudhury, Binayak S.; Maity, Pranati; Metiya, Nikhilesh; Postolache, Mihai title: Simultaneous Determination of Distance Between Sets by Multivalued Kannan Type Coupling date: 2018-09-03 words: 7380 flesch: 92 summary: [0, 1 2 ) such that for x, v ∈ A and y, u ∈ B, the following inequality holds δ(F(x, y), F(u, v)) = the collection of all non-empty subsets of X; B(X) := the collection of all non-empty bounded subsets of X and CB(X) := the collection of all non-empty closed and bounded subsets of X. Now for A, B ∈ B(X), the functions D and δ are defined as follows. keywords: d(a; lim; point cache: ijaa-1737.pdf plain text: ijaa-1737.txt item: #115 of 571 id: ijaa-1740 author: Farmanesh, Fateme; Farokhinia, Ali title: c-Algebrability of Pathological Sets of Product Integrable Functions date: 2018-09-03 words: 4206 flesch: 84 summary: In this paper we seek a linear algebraic structures in the spaces of product integrable function. If A : [a,b] → Rn×n is product integrable function, then exp ◦ (A) is product integrable function. keywords: function; integrable; product; rn×n; theorem cache: ijaa-1740.pdf plain text: ijaa-1740.txt item: #116 of 571 id: ijaa-1743 author: Noor, Khalida Inayat; Khan, Nazar; Darus, Maslina; Ahmad, Qazi Zahoor; Khan, Bilal title: Some Properties of Analytic Functions Associated with Conic Type Regions date: 2018-09-03 words: 4133 flesch: 90 summary: =   1 1−k2 cosh {( 2 π arccos k ) log 1+ √ z 1− √ z } − k 2 1−k2 (0 ≤ k < 1) 1 The main purpose of this investigation is to define new subclasses of analytic functions with respect to symmetrical points. keywords: functions cache: ijaa-1743.pdf plain text: ijaa-1743.txt item: #117 of 571 id: ijaa-1745 author: Rehman, Mutti-Ur; Anwar, M. Fazeel title: µ-Values for Matrices Corresponding to Symmetries in Control Systems date: 2018-09-03 words: 5458 flesch: 80 summary: The structured singular values denoted by µ for a given matrix M ∈ Cn,n or M ∈ Rn,n and a set of block diagonal matrices ΘB is defined as µΘB (M) := 1 min{‖∆‖2 : ∆ ∈ ΘB, det(I −M∆) = 0} . ∆ ∈ ΘB}, (2.3) where Λ(·) denotes the spectrum of a matrix and ‖∆‖2 keywords: algorithm; bounds; matrix; mussv; upper cache: ijaa-1745.pdf plain text: ijaa-1745.txt item: #118 of 571 id: ijaa-1754 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Safdar, Farhat title: Integral Inequalities via Generalized Geometrically r-Convex Functions date: 2018-11-01 words: 4265 flesch: 86 summary:   { [f(a)]r+[f(a)+η(f(b),f(a))]r 2 }1 r , r 6= 0, √ [f(a)][f(a) + η(f(b),f(a))], r = 0. Int. The generalized logarithmic means of order r of positive numbers a,b is defined by Lr(a,b) =   r r+1 ar+1−br+1 ar−br , r 6= 0,−1,a 6= b, a−b log a−log b, r = 0,a 6= b, ab log a−log b a−b , r = −1,a 6= b, a, a = b. Definition 2.8. keywords: log cache: ijaa-1754.pdf plain text: ijaa-1754.txt item: #119 of 571 id: ijaa-1755 author: Zada, Mian Bahadur; Sarwar, Muhammad; Kumam, Poom title: Fixed Point Results of Rational Type Contractions in b-Metric Spaces date: 2018-11-01 words: 5699 flesch: 95 summary: This principle asserts if (X,d) is a complete metric space and K : X → X satisfies d(Kx,Ky) ≤ λd(x,y), (1.1) for all x,y ∈ X with λ 16 (6) (2018) 908 by using condition (ii) of Theorem 2.1 with x = xn and y = xn+1, we have d(Lxn,Lxn+1) ≤λ1(xn,xn+1)d(xn,xn+1) keywords: d(t; metric; s[1 cache: ijaa-1755.pdf plain text: ijaa-1755.txt item: #120 of 571 id: ijaa-1761 author: Farman, Muhammad; Farman, Muhammad; Iqbal, Zafar; Iqbal, Zafar; Ahmad, Aqeel; Raza, Ali; Raza, Ali; Ul Haq, Ehsan; Ul Haq, Ehsan title: Numerical Solution and Analysis for Acute and Chronic Hepatitis B date: 2018-11-01 words: 4762 flesch: 68 summary: The mathematical analysis of epidemic model hepatitis B with non-linear incidence has been presented. [11] C.M. Stanca, R.M. Ruy, W.N. Patrick and S.P. Alan, Modeling the mechanisms of acute hepatitis B virus infection, J. Theor. keywords: acute; hepatitis; infected; k+1; model cache: ijaa-1761.pdf plain text: ijaa-1761.txt item: #121 of 571 id: ijaa-1762 author: KiÅŸi, Ömer; Çakal, Burak title: On I-Asymptotically Lacunary Statistical Equivalence of Functions on Amenable Semigroups date: 2019-01-05 words: 4400 flesch: 79 summary: m(G) is a Banach space with the supremum norm ‖f‖∞ = sup{|f(g)| : g ∈ G}. − 1∣∣∣ ≥ ε } ⊆ { r ∈ N : 1 hr ∣∣∣{g ∈ Sn : ∣∣∣f(g)h(g) − 1∣∣∣ ≥ ε2 }∣∣∣ ≥ ε 2M } ∈I. Therefore, f ∼N θ I(G) keywords: ∣∣∣f(g)h(g cache: ijaa-1762.pdf plain text: ijaa-1762.txt item: #122 of 571 id: ijaa-1767 author: Bishop, S. A.; Agarana, M. C.; Oghonyon, J. G. title: On Nonclassical Impulsive Ordinary Differential Equations with Nonlocal Conditions date: 2019-01-06 words: 1856 flesch: 78 summary: Several interesting results on nonlocal impulsive differential equations satisfying some Lipschitz and compactness conditions have been established in [6-9]. Nonlinear Anal., Theory Methods Appl. 94 (2014), 231-242 [12] S. Ji and G. Li, A unified approach to nonlocal impulsive differential equations with the measure of noncompactness. keywords: conditions cache: ijaa-1767.pdf plain text: ijaa-1767.txt item: #123 of 571 id: ijaa-1771 author: Maitama, Shehu; Zhao, Weidong title: New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations date: 2019-02-24 words: 7476 flesch: 85 summary: [5] G. Dattoli, M. R. Martinelli, P. E. Ricci, On new families of integral transforms for the solution of partial differential equations, Integral Transforms Spec. Integral transform and their applications. keywords: = −; exp; integral; shehu; transform; u s cache: ijaa-1771.pdf plain text: ijaa-1771.txt item: #124 of 571 id: ijaa-1772 author: Tran, Thanh-Tuyen title: An Application of Grey System Theory and DEA in Strategic Alliance in Vietnamese Agricultural Industry date: 2018-11-01 words: 5914 flesch: 72 summary: Therefore, this study aims to develop tools which are Grey Theory and DEA models generate the effectiveness of enterprises in Vietnamese agricultural industry then offer an effective way to figure out the most suitable strategic partners. Then, we extend the “Slack – based measure of supper – efficiency” (Super – SBM) for DEA model with positive and negative inputs and outputs. keywords: appl; data; int; j. anal; model; net; operating cache: ijaa-1772.pdf plain text: ijaa-1772.txt item: #125 of 571 id: ijaa-1774 author: Rehman, Mutti-Ur; Anwar, M. Fazeel title: Computing Lower Bounds of µ-Values for a Class of Rotary Electrical Machines date: 2019-01-06 words: 4055 flesch: 81 summary: − .002i −.000 − .000i −.004 − .008i −.001 − .002i −.001 keywords: matrix; perturbation; set; value cache: ijaa-1774.pdf plain text: ijaa-1774.txt item: #126 of 571 id: ijaa-1776 author: Ashraf, M. Shahzad; Khan, Khuram Ali; Nosheen, Ammara title: Hardy-Copson Type Inequalities on Time Scales for the Functions of “n” Independent Variables date: 2019-02-24 words: 4783 flesch: 96 summary: ∆ςn ≤ ( p p− 1 )np ∫ ∞ a1 . . ∫ ∞ ak k∏ i=1 λi(ςi) keywords: i=1; ςk+1; ∫ ∞ cache: ijaa-1776.pdf plain text: ijaa-1776.txt item: #127 of 571 id: ijaa-1786 author: Asawasamrit, Suphawat; Phuangthong, Nawapol; Ntouyas, Sotiris K.; Tariboon, Jessada title: Nonlinear Sequential Riemann-Liouville and Caputo Fractional Differential Equations with Nonlocal and Integral Boundary Conditions date: 2019-01-06 words: 6351 flesch: 94 summary: 17 (1) (2019) 51 where a constant c1 ∈ R. After that, using Riemann-Liouville fractional integral of order r to both sides the above equation and applying Lemma 2.5, we get x(t) Let p > 0, 0 < q,r ≤ 1, with q + r > 1, Λ = Γ(q) keywords: + q; fractional; tp+q+r−1; |λ|; γ(q cache: ijaa-1786.pdf plain text: ijaa-1786.txt item: #128 of 571 id: ijaa-1788 author: Rehman, A. Ur.; Farid, G.; Mishra, Vishnu Narayan title: Generalized Convex Function and Associated Petrovic's Inequality date: 2019-01-06 words: 3532 flesch: 81 summary: Generalized Petrović’s inequality for h-concave function In the previous section, one can see that the condition on function h given in (2.4) restrict us to give Petrović’s type inequalities for particular cases of h−convex functions given in Remark 1.1. The notable thing is the requirements of submultiplicity and reverse of (2.4) for function h along with h-concavity of the function f. keywords: k=1; pkxk cache: ijaa-1788.pdf plain text: ijaa-1788.txt item: #129 of 571 id: ijaa-1791 author: Saoudi, Ahmed; Kallel, Imen Ali title: L2 -Uncertainty Principle for the Weinstein-Multiplier Operators date: 2019-01-06 words: 3721 flesch: 83 summary: Weinstein operator; L2-multiplier operators; Heisenberg-Pauli-Weyl uncertainty principle; Donho- Stark’s uncertainty principle. By using the Weinstein kernel, we can also define a generalized translation, for a function ϕ ∈ S∗(Rd+1) and y ∈ Rd+1+ the generalized translation ταx ϕ is defined by the following relation FW,α(ταx ϕ)(y) keywords: d+1; rd+1; weinstein cache: ijaa-1791.pdf plain text: ijaa-1791.txt item: #130 of 571 id: ijaa-1796 author: Tran, Thanh-Tuyen title: Applying AHP in Evaluation of Vietnamese Commercial Banks date: 2019-01-06 words: 9245 flesch: 60 summary: so its global weight is 22.7% (=66.1%*33.7%). 17 (1) (2019) 161 4.3 The Final Rankings After respectively calculating, analysis and evaluating of suppliers through each sub- criterion of six main criteria in Balanced Scorecard of AHP model, we have been solving the second floor of AHP hierarchy. keywords: ahp; anal; appl; banking; banks; criteria; data; decision; income; int; j. anal; model; process; study; table cache: ijaa-1796.pdf plain text: ijaa-1796.txt item: #131 of 571 id: ijaa-1799 author: Qawaqneh, Haitham; Noorani, Mohd Salmi; Shatanawi, Wasfi; Alsamir, Habes title: Fixed Points for Triangular α-Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces date: 2019-02-24 words: 6798 flesch: 86 summary: d(x,y) for all x,y ∈ X is a partial b-metric on X, that is, (X,b) is a partial b−metric space. A function p : X ×X → [0,∞) is called a partial metric space if for all x,y,z ∈ X, the following conditions are satisfied: (p1) keywords: fixed; metric; point cache: ijaa-1799.pdf plain text: ijaa-1799.txt item: #132 of 571 id: ijaa-1800 author: Sabeg, D. Jabari; Ezzati, R.; Maleknejad, K. title: Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method date: 2019-02-24 words: 2422 flesch: 76 summary: During the past years, methods for solving fractional differential equations are developed. [9] Kumar P, Agrawal OP, Numerical scheme for the solution of fractional differential equations of order greater than one, J. Comput. keywords: equations; fractional; method; solution; y(t cache: ijaa-1800.pdf plain text: ijaa-1800.txt item: #133 of 571 id: ijaa-1808 author: Beg, Ismat; Jamil, Raja Noshad; Rashid, Tabasam title: Diminishing Choquet Hesitant 2-Tuple Linguistic Aggregation Operator for Multiple Attributes Group Decision Making date: 2019-01-06 words: 11468 flesch: 75 summary: [38] L. Mart́ınez, D. Ruan, F. Herrera, E. Herrera-Viedma and P.P. Wang, Linguistic decision making: tools and applications, Inf. Sci. 179 [34] C. C. Li, Y. Donga, F. Herrera, E. H. Viedm and L. Mart́ınez, Personalized individual semantics in computing with words for supporting linguistic group decision making. keywords: decision; fuzzy; int; let; linguistic; lip; max; min; operator; p=1; tuple; ςip; σ(p cache: ijaa-1808.pdf plain text: ijaa-1808.txt item: #134 of 571 id: ijaa-1811 author: Ahmad, Aqeel; Javeed, Nouman; Farman, Muhammad; Ahmad, M.O.; Hafeez, Amna; Raza, Ali title: Dynamical Behavior of Fractional Order SVIR Epidemic Model date: 2019-02-24 words: 4428 flesch: 64 summary: As a fact, that fractional order models are more realistic and practical than the classical integer order models. The solution of the time fractional model has been procured by employing Laplace Adomian decomposition method (LADM) and the accuracy of the scheme is presented by convergence analysis. keywords: appl; int; mathematics; model; order cache: ijaa-1811.pdf plain text: ijaa-1811.txt item: #135 of 571 id: ijaa-1818 author: Tran, Thanh-Tuyen title: Applying Grey System Theory to Forecast The Total Value of Importsand Exports of Top Traded Commodities in Taiwan date: 2019-02-24 words: 5822 flesch: 67 summary: This research also indicates that for the future period of time (2014-2017), there will be a steady increase in both exports and imports value of all top commodities. For the future period of time, there will be a steady increase in both exports and imports value of all 10 items. keywords: appl; error; exports; forecasting; grey; imports; int; model; trade; value cache: ijaa-1818.pdf plain text: ijaa-1818.txt item: #136 of 571 id: ijaa-1823 author: Padhy, B. P.; Tripathy, P.; Mishra, B. B. title: A Note on Generalized Indexed Norlund Summability Factor of an Infinite Series date: 2019-02-24 words: 2248 flesch: 82 summary: [2] Bor, H., A note on absolute summability factors, Int. H, On absolute summability factors of infinite series, Rocky Mt. J. Math., 23(4)(1993), 1221-1230. keywords: r=1; series cache: ijaa-1823.pdf plain text: ijaa-1823.txt item: #137 of 571 id: ijaa-1829 author: Toure, Ibrahima; Kangni, Kinvi title: Harmonic Analysis on Internally Gelfand Pairs Associated to Groupoids date: 2019-10-26 words: 5297 flesch: 81 summary: For x ∈ G, r(x) = xx−1 and d(x) = x−1x are respectively the range and the domain of x. For u,v ∈ G(0), let us put Gu = r−1(u), Gv = d−1(v), Guv = Gu ∩Gv and for each unit element u, G(u) = {x ∈ G : r(x) = d(x) = u} is the isotropy group at u. x ∈ G} of this equivalence relation is a groupoid with unit space G(0). keywords: d(x; g(0; g(u; gelfand; groupoid; pair cache: ijaa-1829.pdf plain text: ijaa-1829.txt item: #138 of 571 id: ijaa-1832 author: Sene, Ndolane title: Solutions of Fractional Diffusion Equations and Cattaneo-Hristov Diffusion Model date: 2019-02-24 words: 5850 flesch: 64 summary: Fractional diffusion equation; Caputo fractional derivative; Cattaneo-Hristov diffusion model. In [29], Yranli et al. devoted to comparing the smoothing performance between the time fractional diffusion equation and the classical diffusion equation using the regulation method, Savitzky-Golay, and coverer method. keywords: analytical; diffusion; diffusion equation; equation; fractional; hristov; solution; transform cache: ijaa-1832.pdf plain text: ijaa-1832.txt item: #139 of 571 id: ijaa-1833 author: Dong, Fangyuan; Ji, Peisheng; Wang, Xiaohui title: Pata-Type Fixed Point Results in bv(s)-Metric Spaces date: 2019-04-29 words: 6194 flesch: 92 summary: ∈ [0, 1] and all x,y ∈ X, then f has a unique fixed point z ∈ X. → [0,∞) is called a b-metric with parameter s if for all x,y ∈ X the following holds: (1) d(x,y) = 0 keywords: fixed; metric; point; spaces cache: ijaa-1833.pdf plain text: ijaa-1833.txt item: #140 of 571 id: ijaa-1840 author: Farid, G.; Rehman, A. U.; Mishra, Vishnu Narayan; Mehmood, S. title: Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function date: 2019-07-01 words: 4501 flesch: 86 summary: 17 (4) (2019) 550 From generalized fractional integral operator we have ( � γ,δ,k,c µ,α,l,ω,a1 ) References [1] A. Akkurt, Z. Kaçar and H. Yildirim, Generalized fractional integral inequalities for continuous random variables, J. Probab. keywords: c µ,α cache: ijaa-1840.pdf plain text: ijaa-1840.txt item: #141 of 571 id: ijaa-185 author: Datta, Sanjib Kumar; Biswas, Tanmay; Mondal, Golok Kumar title: Growth Properties of Wronskians in the Light of Relative Order date: 2014-02-08 words: 4111 flesch: 83 summary: λh (f ◦g) ρh (g) ≤ lim inf r→∞ log T−1h Tf◦g (r) log T−1 L[h] TL[g] (r) ≤ λh (f ◦g) From the definition of ρh (f) and λh (f ◦g) and Lemma 2.4 we have for arbitrary positive ε and for all sufficiently arge values of r that (4) log T−1h Tf◦g (r) > keywords: log; ◦ g cache: ijaa-185.pdf plain text: ijaa-185.txt item: #142 of 571 id: ijaa-1852 author: Kaskasem, Prondanai; Klin-eam, Chakkrid title: On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces date: 2019-04-29 words: 6991 flesch: 92 summary: Letting y = x and w = z in (2.21), we obtain that P(f(2x, 2z) Subtituting x = −αx, y = 0 and z = x in (3.11), we obtain that ‖f(−αx) keywords: 2j+1; x 2j+1 cache: ijaa-1852.pdf plain text: ijaa-1852.txt item: #143 of 571 id: ijaa-1858 author: Hammad, Hasanen A.; De la Sen, Manuel title: Fixed Point Results for φ - (γ, η, n, m)-Contractions with Applications to Nonlinear Integral Equations date: 2019-04-30 words: 5686 flesch: 86 summary: Application to a class of nonlinear integral equations In this section, we will study the existence of solutions for a class of nonlinear integral equations by using the existence of coincidence and common fixed points for mappings belonging to the φ− (γ,η,n,m)- contraction class. [8] G. Jungck, Compatible mappings and common fixed points, Int. keywords: lim; pair; point cache: ijaa-1858.pdf plain text: ijaa-1858.txt item: #144 of 571 id: ijaa-1868 author: Eke, Kanayo Stella; Akewe, Hudson; Oghonyon, Jiemvwo Godwin title: Random Common Fixed Point Theorems for Two Pairs of Nonlinear Contractive Maps in Polish Spaces date: 2019-12-22 words: 2327 flesch: 85 summary: Polish space; random operators; random weakly compatible maps; random coincidence point; random common fixed point. Random fixed point theorems in partially ordered metric spaces. keywords: ω(v cache: ijaa-1868.pdf plain text: ijaa-1868.txt item: #145 of 571 id: ijaa-1869 author: Farid, Ghulam; Mishra, Vishnu Narayan; Mehmood, Sajid title: Hadamard And Fejer-Hadamard Type Inequalities for Convex and Relative Convex Functions via an Extended Generalized Mittag-Leffler Function date: 2019-08-28 words: 4552 flesch: 85 summary: In this paper, we will prove the Hadamard and the Fejér-Hadamard type integral inequalities for convex and relative convex functions due to an extended generalized Mittag-Leffler function. Noor et al. proved the following Hadamard type integral inequality in [8] for relative convex functions via Riemann-Liouville fractional integral operators. keywords: c µ,α; µ,α cache: ijaa-1869.pdf plain text: ijaa-1869.txt item: #146 of 571 id: ijaa-1872 author: Dhange, Mallinath; Sankad, Gurunath title: Slip Impact on Diffusion of a Solute in Creeping Sinusoidal Motion of a Newtonian Fluid with Wall Features date: 2019-06-30 words: 3339 flesch: 72 summary: Illustration of E2 for Ḡ at Da = 0.9, E1 = 0.1, E3 = 0.06, � = 0.2, α = 1.0, γ = 0.08 Int. Illustration of E2 for Ḡ at Da = 0.9, E1 = 0.1, E3 = 0.06, � = 0.2, β = 5.0, γ = 0.08 Figure 13. keywords: appl; fluid; wall cache: ijaa-1872.pdf plain text: ijaa-1872.txt item: #147 of 571 id: ijaa-1875 author: Riabi, Lakhdar; Belghaba, Kacem; Hamdi Cherif, Mountassir; Ziane, Djelloul title: Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations date: 2019-04-30 words: 3514 flesch: 75 summary: The modified method is called fractional homotopy perturbation ZZ transform method (FHPZZTM) and we will apply them to solve the following nonlinear time-fractional Fokker-Planck equation, the cubic nonlinear time-fractional Schrödinger equation and the time-fractional KdV equation. Fractional homotopy perturbation ZZ transform method To illustrate the basic idea of this method keywords: method; perturbation; transform cache: ijaa-1875.pdf plain text: ijaa-1875.txt item: #148 of 571 id: ijaa-1882 author: Ibrahim, Rabha W.; Darus, Maslina title: Univalent Functions Formulated by the Salagean-Difference Operator date: 2019-07-01 words: 1687 flesch: 85 summary: Let Tm(κ,α) denote the class of functions f ∈ Λ which achieve the condition <{(Dmκ f(z)) Based on this operator, we define a generalized class of bounded turning functions. keywords: n=2 cache: ijaa-1882.pdf plain text: ijaa-1882.txt item: #149 of 571 id: ijaa-1885 author: Ankita, .; Singh, Nanhay title: Improved Link Prediction Using PCA date: 2019-07-01 words: 2935 flesch: 57 summary: For predicting links in the network, this problem also being solved using feature based link prediction model, where any popular supervised classification techniques can be employ [14] and the major challenge is to select the set of features. In this paper, we have balanced the data and used Principle Component Analysis (PCA) to reduce the correlated data and improved the performance of link prediction model. keywords: features; learning; link; model; network; pca; prediction cache: ijaa-1885.pdf plain text: ijaa-1885.txt item: #150 of 571 id: ijaa-1887 author: Elmoasry, Ahmed; Yaqoob, Naveed title: m-Polar Fuzzy Hyperideals in LA-Semihypergroups date: 2019-04-29 words: 4878 flesch: 88 summary: If M̂ is an m-polar fuzzy left hyperideal of H with a pure left identity, then M̂ ∪ (M̂ }H) and M̂ ∪ (M̂ }M̂) are m-polar fuzzy hyperideals of H. Proof. LA-semihypergroups; hyperideals; m-polar fuzzy sets; m-polar fuzzy hyperideals. keywords: semihypergroup cache: ijaa-1887.pdf plain text: ijaa-1887.txt item: #151 of 571 id: ijaa-1889 author: Saleh, Wedad title: Some Properties of Geodesic Strongly E-b-vex Functions date: 2019-04-29 words: 2652 flesch: 92 summary: ∈ Ω, then ε(Ω) ⊆ + (1 −δb)F(ξ2) ) ∈ Ω, ∀(µ1,ξ1), (µ2,ξ2) ∈ Ω, α ∈ keywords: gse; vex cache: ijaa-1889.pdf plain text: ijaa-1889.txt item: #152 of 571 id: ijaa-1892 author: Mehravaran, Hamid; Khanehgir, Mahnaz; Allahyari, Reza title: Fixed Point Theorems for Generalized F-Contractions and Generalized F-Suzuki-Contractions in Complete Dislocated Sb-Metric Spaces date: 2019-08-28 words: 6111 flesch: 89 summary: A mapping T : X → X is said to be a generalized F -contraction on (X,Sb) if there exist F ∈ F and τ > 0 such that for all x,y ∈ X, Sb(Tx,Tx,Ty) > 0 A mapping T : X → X is said to be a generalized F -Suzuki-contraction if there exists F ∈ F such that for all x,y ∈ X 1 2b Sb(x,x,Tx) < keywords: txn cache: ijaa-1892.pdf plain text: ijaa-1892.txt item: #153 of 571 id: ijaa-1894 author: Ahmad, Bashir; Alsaedi, Ahmed; Ntouyas, Sotiris K. title: Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions date: 2019-10-26 words: 6478 flesch: 90 summary: = 1 Γ(r) ∫ t 0 f(s) (t−s)1−r ds, t > 0, r > 0, provided the right hand-side is point-wise defined on [0,∞), where Γ(·) is the gamma function, which is defined by Γ(r) ∫ t 0 (t−s)n−r−1f(s)ds, where the function f has absolutely continuous derivatives upto order (n− 1). keywords: fractional; i=2; j=1; γ(σ; ∫ t cache: ijaa-1894.pdf plain text: ijaa-1894.txt item: #154 of 571 id: ijaa-1896 author: Gurbuz, Ferit title: Multilinear BMO Estimates for the Commutators of Multilinear Fractional Maximal and Integral Operators on the Product Generalized Morrey Spaces date: 2019-07-01 words: 8714 flesch: 89 summary: [24] Z. Y. Si and S. Z. Lu, Weighted estimates for iterated commutators of multilinear fractional operators, Acta Math. multi-sublinear fractional maximal operator; multilinear fractional integral operator; multilinear commutator; generalized Morrey space; generalized vanishing Morrey space; multilinear BMO space. keywords: i=1; t n cache: ijaa-1896.pdf plain text: ijaa-1896.txt item: #155 of 571 id: ijaa-1899 author: Ilham, Djellit; Yamina, Fakroune; Wissame, Selmani title: Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms date: 2019-07-01 words: 5428 flesch: 72 summary: We know some results which enable us to detect, predict, determine cycles and fixed points, and locate bifurcation curves in the parameter plane. When n is even, there is an interesting passage from symmetric parameter diagram to non symmetric parameter diagram (clearly visible for the existence domain related with fixed points of color blue). keywords: basin; bifurcation; curves; point cache: ijaa-1899.pdf plain text: ijaa-1899.txt item: #156 of 571 id: ijaa-1909 author: Saad, M. Khalifa; Abd-Rabo, M. A. title: Computing Special Smarandache Curves According to Darboux Frame in Euclidean 4-Space date: 2019-07-01 words: 9683 flesch: 97 summary: + τ1g (κn + τ2g )fy +((κ1g −κ2g)κ2g − τ2g (κn + τ2g )) 2)fy + (κ1gκ2g − τ1g τ2g )fz λ12‖∇f‖ , κ̄1g = (κ1gτ 1 g + κ 2 gτ 2 g )λ16 keywords: = √; curve; frame; smarandache; κ1 g; κ2 g; τ1 g; τ2 g; ‖∇f‖; − τ1 cache: ijaa-1909.pdf plain text: ijaa-1909.txt item: #157 of 571 id: ijaa-191 author: Gupta, Animesh; Rajput, S.S.; Kaurav, P.S. title: Coupled Best Proximity Point Theorem in Metric Spaces date: 2013-11-17 words: 6264 flesch: 87 summary: Math. 3 (1922) 133-181. 214 GUPTA, RAJPUT AND KAURAV [5] S. S. Basha, Best proximity point theorems generalizing the contraction principle. � Here we state the main results of this article in the existence and convergence of coupled best proximity points for cyclic contraction pairs on nonempty subsets of metric spaces satisfying the property UC∗. Theorem 15. keywords: d(a; metric; point; proximity cache: ijaa-191.pdf plain text: ijaa-191.txt item: #158 of 571 id: ijaa-1916 author: Ahmad, Aqeel; Shahid, Maryam; Farman, Muhammad; Ahmad, M.O. title: Stability and Convergence Analysis of Smoking Impact in Society with Algorithm Aspects date: 2019-07-01 words: 4932 flesch: 74 summary: An unconditionally convergent nonstandard finite difference scheme has been presented to obtain solution of smoking model. 2. Materials and Method The concept of mathematical modeling has been prolonged to define the stability and qualitative features of giving up smoking models from 2000 keywords: appl; model; smokers; smoking cache: ijaa-1916.pdf plain text: ijaa-1916.txt item: #159 of 571 id: ijaa-1920 author: ‎Ghanenia, Amir; khanehgir, Mahnaz; Allahyari, Reza; ‎Mehrabinezhad, Mohammad title: Some Fixed Point Theorems in Menger Probabilistic Partial Metric Spaces with Application to Volterra Type Integral Equation date: 2019-08-28 words: 8677 flesch: 90 summary: Then f is said to be (β,γ)-admissible if for all x,y ∈ X and all t > 0 − 1 ) (2.2) for all x,y ∈ X and all t > 0 such that Fx,y(φ(t)) keywords: metric cache: ijaa-1920.pdf plain text: ijaa-1920.txt item: #160 of 571 id: ijaa-1921 author: Abdel-Baky, R. A.; Nazra, S. H. title: Normal Ruled Surfaces of a Surface along a Curve in Euclidean 3-Space E3 date: 2019-07-01 words: 6549 flesch: 86 summary: Darboux frame; normal ruled surface; orthogonal trajectory. Normal ruled surfaces. keywords: cos; curve; sin; surface; α(s cache: ijaa-1921.pdf plain text: ijaa-1921.txt item: #161 of 571 id: ijaa-1928 author: Razzaq, Oyoon Abdul; Khan, Najeeb Alam; Ain, Noor Ul; Ayaz, Muhammad title: Economic Growth by Means of Interspecific Functional Response of Capital-Labour in Dynamical System date: 2019-07-01 words: 5142 flesch: 68 summary: In addition, comparison plots of different production functions proposed in the literature [21- 24] are also demonstrated in Figs. Different production functions keywords: appl; capital; function; growth; labour; production cache: ijaa-1928.pdf plain text: ijaa-1928.txt item: #162 of 571 id: ijaa-1934 author: Goswami, Nilakshi; Haokip, Nehjamang; Mishra, Vishnu Narayan title: An Extended S-Iteration Scheme for G-Contractive Type Mappings in b-Metric Spaces with Graph date: 2019-12-22 words: 6184 flesch: 83 summary: 18 (1) (2020) 48 References [1] A. A. Abdelhakim, A convexity of functions on convex metric spaces of Takahashi and applications, J. Egypt. [11] H. Fukhar-ud-din, Existence and approximation of fixed points in convex metric spaces, Carpathian J. Math. 30 (2014), 175–185. keywords: convex; iteration; metric cache: ijaa-1934.pdf plain text: ijaa-1934.txt item: #163 of 571 id: ijaa-1935 author: Akpan, Emmanuel Alphonsus; Moffat, Imoh Udo title: Modeling the Effects of Outliers on the Estimation of Linear Stochastic Time Series Model date: 2019-07-01 words: 4781 flesch: 76 summary: The two methods considered are: an iterative outlier detection aimed at obtaining the joint estimates of model parameters and outlier effects, and an iterative outlier detection with the effects of outliers removed to obtain an outlier free series, after which a successful ARIMA model is entertained. The implication is that, in order to achieve more accurate estimates of ARIMA model parameters, it is needful to account for the presence of significant outliers and preference should be given to the approach of cleaning the series of outliers before subsequent entertainment of adequate linear time series models. keywords: arima; arima(1; bank; model; outliers; return; series; time cache: ijaa-1935.pdf plain text: ijaa-1935.txt item: #164 of 571 id: ijaa-1937 author: Nguyen, Nhu-Ty; Nguyen, Linh-Xuan Thi title: Applying DEA Model to Measure the Efficiency of Hospitality Sector: The Case of Vietnam date: 2019-10-26 words: 6851 flesch: 59 summary: [26] Manasakis, C., Apostolakis, A., &Datseris, G., Using data envelopment analysis to measure hotel efficiency in Crete, Int. In hotel industry, labor or quality of human resource plays a significant role to generate profit. keywords: anal; data; efficiency; equity; expenses; http://finance.vietstock.vn/nvt-ctcp-bat-dong-san-du-lich-ninh-van-bay.htm; http://finance.vietstock.vn/och-ctcp-khach-san-va-dich-vu-dai-duong.htm; int; number; profit; revenue; sales cache: ijaa-1937.pdf plain text: ijaa-1937.txt item: #165 of 571 id: ijaa-1950 author: Kausar, Nasreen; Waqar, Muhammad Azam title: Direct Product of Finite Fuzzy Normal Subrings Over Non-Associative Rings date: 2019-08-28 words: 6579 flesch: 93 summary: In this paper, we define the concept of direct product of finite fuzzy normal subrings over non- associative and non-commutative rings (LA-ring) and investigate the some fundamental properties of direct product of fuzzy normal subrings. In this paper we explore the concept of [9, 21] in finite fuzzy normal subrings over non-associative and non- commutative rings. keywords: subring; ×r2 cache: ijaa-1950.pdf plain text: ijaa-1950.txt item: #166 of 571 id: ijaa-1951 author: Sari, Murat; Ahmad, Arshed A. title: Anemia Modelling Using the Multiple Regression Analysis date: 2019-08-28 words: 4425 flesch: 68 summary: Multiple linear regression model, for the first time, have been derived in forecasting the types of anemia. anemia; medical modelling; mathematical modelling; regression model. keywords: age; analysis; anemia; blood; linear; model; regression; sex; types; variables cache: ijaa-1951.pdf plain text: ijaa-1951.txt item: #167 of 571 id: ijaa-1957 author: Naas, Youcef; Mezeghrani, Fatima Zohra title: Strict Solution for a Second Order Differential Equation in Holder Spaces date: 2019-10-26 words: 3977 flesch: 87 summary: For u0 ∈ X, consider the follwing abstract function Q0 : ]0, 1] −→ X x 7−→ Q0(x,B)u0 defined by Q0 Q0(x,B)u0 = (I −Z)−1(I −e−B)−2e−xBu0. For u0 ∈ X, consider the following abstract function : Q1 : keywords: d(a; −z)−1(i cache: ijaa-1957.pdf plain text: ijaa-1957.txt item: #168 of 571 id: ijaa-1958 author: Belgacem, Rachid; Baleanu, Dumitru; Bokhari, Ahmed title: Shehu Transform and Applications to Caputo-Fractional Differential Equations date: 2019-10-26 words: 3235 flesch: 87 summary: When we take the inverse Shehu transform of 2 ( u s )3 , we get the analytical solution of Eq.(3.12) y (t) = t2. = ∫ ∞ 0 exp ( − s u t ) f (at) dt. keywords: transform; u s cache: ijaa-1958.pdf plain text: ijaa-1958.txt item: #169 of 571 id: ijaa-1960 author: GümüÅŸ, Özlem Ak; Selvam, A. George Maria; Vianny, D. Abraham title: Bifurcation and Stability Analysis of a Discrete Time Sir Epidemic Model with Vaccination date: 2019-08-28 words: 3839 flesch: 70 summary: Discrete time models are more suitable than continuous time models to examine infectious diseases due to many reasons. Conclusion In this paper, we consider an discrete time SIR epidemic model with vaccination and obtained the con- ditions for the existence of the equilibrium points and discussed the stability of the system at DFE and EE points. keywords: model cache: ijaa-1960.pdf plain text: ijaa-1960.txt item: #170 of 571 id: ijaa-1961 author: Niaz, Tasadduq; Khan, Khuram Ali; Pecaric, Dilda; Pecaric, Josip title: Estimation of Different Entropies via Taylor One Point and Taylor Two Points Interpolations Using Jensen Type Functionals date: 2019-08-28 words: 9028 flesch: 91 summary: Let f : R+ → R+ be a convex function, let r = (r1, . . . Let I ⊂ R be an interval and let f : I → R be a function, let r = (r1, . . . keywords: j=1; log; s=1; αim cache: ijaa-1961.pdf plain text: ijaa-1961.txt item: #171 of 571 id: ijaa-1963 author: Nouri, Zahia; Bendaas, Saida; Kadem, Houssem Eddine title: N Wave and Periodic Wave Solutions for Burgers Equations date: 2020-02-29 words: 5217 flesch: 78 summary: Burgers equation was proposed as a model of turbulent fluid motion by J.M. Burgers in a series of sevral articles. Discretization methods are well-known techniques for sollving Burgers equation. keywords: burgers; equation; shock; solution; wave cache: ijaa-1963.pdf plain text: ijaa-1963.txt item: #172 of 571 id: ijaa-1966 author: Satirad, Akarachai; Iampan, Aiyared title: Properties of Operations for Fuzzy Soft Sets over Fully Up-Semigroups date: 2019-08-28 words: 7529 flesch: 87 summary: Also we prove that certain De Morgan’s laws hold in fuzzy soft set theory with respect to different operations on fuzzy soft sets. We investigate properties of some operations for fuzzy soft sets over fully UP-semigroups and their interrelation with respect to different operations such as “(restricted) union”, “(extended) intersection”, “AND”, and “OR”. keywords: fuzzy; i∈i; upi; ups cache: ijaa-1966.pdf plain text: ijaa-1966.txt item: #173 of 571 id: ijaa-1968 author: Rehman, Mutti-Ur; Abbas, Ghulam; Mehmood, Arshad title: Computing Structured Singular Values for Sturm-Liouville Problems date: 2019-08-28 words: 4640 flesch: 71 summary: The following theorem (5.2) help us to compute d d� (|λ(�)|), when |λ(�)| is simple and ∆(0), λ(0) are assumed to remains smooth in the neighboring region of perturbation level � > 0 Theorem 5.2 Consider matrix valued function ∆ ∈ B. Let x and y as a function of perturbation level � > 0 acts as right and left eigenvectors of matrix valued function (�M∆). Choice of suitable initial value matrix and initial perturbation level. keywords: appl; bounds; matrix; mussv; spectrum; ssv; values cache: ijaa-1968.pdf plain text: ijaa-1968.txt item: #174 of 571 id: ijaa-197 author: Ahmed, Iftikhar; Mu, Chunlai; Zhang, Fuchen title: A New Chaotic Attractor with Quadratic Exponential Nonlinear Term from Chen's Attractor date: 2014-02-08 words: 1684 flesch: 73 summary: −4 −2 0 2 4 −4 −2 0 2 4 0 20 40 60 80 100 x(t) 3D view of new attractor y(t) z( t) Figure 4. 3D view of new chaotic system (2) New chaotic system can also be achieved by adding or changing the linear/nonlinear ter- m of existing chaotic system. keywords: attractor; new; nonlinear; system cache: ijaa-197.pdf plain text: ijaa-197.txt item: #175 of 571 id: ijaa-1971 author: Nnubia, Agatha Chizoba; Bishop, Sheila Amina title: Strong Convergence Theorem for Finite Family of Generalised Asymptotically Nonexpansive Maps date: 2019-12-22 words: 4994 flesch: 86 summary: Preliminaries We shall make use of the following result: A Banach space E is said to satisfy Opial’s condition if for each sequence {xn}n≥1 ∈ E which converges weakly to a point z ∈ E, we have that lim inf n→∞ ‖xn − z‖ < lim inf n→∞ ‖xn − y‖, ∀y ∈ E, such that y 6= − 2µ2nt(1 − t)(〈x−y + y −x,z〉 +η2n + 2µnηn ( (1 − t)‖x−z‖ keywords: lim; n→∞; ‖xn; −x∗‖ cache: ijaa-1971.pdf plain text: ijaa-1971.txt item: #176 of 571 id: ijaa-1972 author: Ullah, H.; Mukhtar, S.; Nawaz, M.; Adnan, M. title: The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations date: 2019-12-22 words: 2984 flesch: 81 summary: 3. some numerical examples of nonlinear volterra integral equations. some numerical examples of nonlinear volterra integral equations. keywords: method; nonlinear; oham; solution cache: ijaa-1972.pdf plain text: ijaa-1972.txt item: #177 of 571 id: ijaa-1974 author: Baloch, Imran Abbas; De La Sen, Manuel; Iscan, Imdat title: Characterizations of Classes of Harmonic Convex Functions and Applications date: 2019-08-28 words: 3905 flesch: 83 summary: The usual notion of convex function have been generalized in diverse manners. 2) If I ⊂ (0,∞) and f is a harmonically convex and nonincreasing function, then f is convex function. keywords: convex; function cache: ijaa-1974.pdf plain text: ijaa-1974.txt item: #178 of 571 id: ijaa-1983 author: Al-Zhour, Zeyad; Alrawajeh, Fatimah; Al-Mutairi, Nouf; Alkhasawneh, Raed title: New Results on the Conformable Fractional Sumudu Transform: Theories and Applications date: 2019-10-26 words: 5072 flesch: 75 summary: [4] I. Pondlubny, Fractional differential equations:An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, Academic Press, USA, 1998. Conformable fractional Laplace and Sumudu transforms In this Section, we introduce (with proofs) a list of important basic rules and properties for the conformable fractional Laplace and Sumudu transforms involving the nice relationship between of these transforms which are playing a central role in the solutions of conformable fractional differential equations. keywords: conformable; differential; fractional cache: ijaa-1983.pdf plain text: ijaa-1983.txt item: #179 of 571 id: ijaa-1993 author: Kausar, Nasreen; Alesemi, Meshari; Salahuddin, -- title: Fuzzy Ideals on Ordered AG-Groupoids date: 2020-02-29 words: 11276 flesch: 95 summary: Let µ be a fuzzy quasi-ideal of S. Since µ◦µ ⊆ µ◦S and µ◦µ ⊆ S◦µ, i.e., µ◦µ ⊆ µ◦S∩S◦µ ⊆ µ. Now (µ◦S) ◦µ ⊆ (S ◦S) ◦µ ⊆ S ◦µ and (µ◦S) ◦µ ⊆ (µ◦S) ◦S = (µ◦S) ◦ (e◦S) = (µ◦e) ◦ (S ◦S) = (µ◦e) ◦S = µ◦S. ⇒ (µ◦S) ◦µ ⊆ µ◦S ∩S ◦µ ⊆ µ. keywords: ideal; left; µ ◦; δ ◦; ◦ s; ◦ γ cache: ijaa-1993.pdf plain text: ijaa-1993.txt item: #180 of 571 id: ijaa-1995 author: Kiyani, E.; Vaezpour, S. M.; Tavakoli, J. title: Nonconvex Vector Optimization and Optimality Conditions for Proper Efficiency date: 2022-02-07 words: 5413 flesch: 70 summary: It has been proved that heQ is finite [31, Remark 2.3], whenever Q is a vectorially closed and algebraic solid proper convex cone, and in this case, one has heQ(y) = sup{h(y) : h ∈ Q +,h(e) = 1}, ∀y ∈ Y , where Q+ denotes the positive polar cone of Q [5]. x + λx ′′ = x + λx ′ ∈ Q, (2.3) which contradicts 2.1. keywords: optimization; vector cache: ijaa-1995.pdf plain text: ijaa-1995.txt item: #181 of 571 id: ijaa-1996 author: Edja, Kouame Beranger; N'guessan, Koffi; Koua, Brou Jean-Claude; Toure, Kidjegbo Augustin title: Numerical Quenching for Heat Equations with Coupled Nonlinear Boundary Flux date: 2019-10-26 words: 6331 flesch: 94 summary: − b1 ( V −n1 (t) + C(Th − t) − q m+1 ) . ,I, t ∈ (0,Th), (1.5) V ′i (t) = δ 2Vi(t) keywords: quenching; time cache: ijaa-1996.pdf plain text: ijaa-1996.txt item: #182 of 571 id: ijaa-1999 author: Bibi, Rabia; Rahman, Anees Ur; Shahzad, Muhammad title: Generalizations of Minkowski and Beckenbach-Dresher Inequalities and Functionals on Time Scales date: 2020-02-29 words: 4094 flesch: 88 summary: if p ≥ 1 or p < 0,≤ 0 if 0 < p ≤ 1. Using the Minkowski inequality (2.2) for integrals (Theorem 2.1), we have that this is nonnegative for p ≥ 1 and nonpositive for p < 1 and p 6= 0. keywords: inequality cache: ijaa-1999.pdf plain text: ijaa-1999.txt item: #183 of 571 id: ijaa-2 author: Ravi, K.; Rassias, J.M.; Senthil Kumar, B.V. title: Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables date: 2013-07-15 words: 5807 flesch: 82 summary: Let us define a function H : X ×X → R be H(x,y) = ∞∑ n=0 φ(2nx, 2ny) 2n , for all x,y ∈ X where the function φ : X ×X → R is given by φ(x,y) =   αxy x+y for x,y ∈ (0, 1) α otherwise with α > 0 is a constant. ×X → R satisfying the functional equation (1.12) and (4.3) |M(x,y) −H(x,y)| ≤ ∞∑ i=0 2i+1ϕ(2−ix, 2−ix, 2−iy, 2−iy) for all x,y ∈ X. keywords: equation; stability cache: ijaa-2.pdf plain text: ijaa-2.txt item: #184 of 571 id: ijaa-2014 author: Skuratovskii, Ruslan title: Generating Sets and a Structure of the Wreath Product of Groups with Non-Faithful Group Action date: 2019-12-22 words: 6019 flesch: 81 summary: Minimal generating sets of cyclic groups wreath product (in russian). The first section corresponds to an active group and the crown of wreath product G, the second section is separated with a semicolon to a base of the wreath product. keywords: commutator; form; generating; group; product; set; subgroup; wreath cache: ijaa-2014.pdf plain text: ijaa-2014.txt item: #185 of 571 id: ijaa-2017 author: Nkansah, Henrietta; Benyah, Francis; Amankwah, Henry title: Smoothing Approximations for Least Squares Minimization with L1-Norm Regularization Functional date: 2021-03-05 words: 4510 flesch: 70 summary: However, the regularized solution using smoothing approximations produce almost the same results that are accurate to 9 digits at the same parameter value of µ = 10−30. In order to overcome the undesirable effects of ill-conditioning, we make use of regularization method. keywords: approximation; method; regularization; solution cache: ijaa-2017.pdf plain text: ijaa-2017.txt item: #186 of 571 id: ijaa-2018 author: Mbunwe, Muncho J.; Akuru, Udochukwu B.; Ezea, Hilary U.; Okoro, Ogbonnaya I.; Ahmad, M. Ayaz title: Some Aspects of Future Energy Generation in Using of Solar Power Satellites date: 2019-12-22 words: 4137 flesch: 57 summary: Similarly, solar power satellite (SPS), space-based solar power (SBSP) or space solar power (SSP) as used correspondingly within this paper is without prejudice. In an era when new energy options are urgently needed, space solar power is an inexhaustible solution – Int. keywords: earth; energy; int; microwave; power; satellite; solar; space; sps; technology; transmission cache: ijaa-2018.pdf plain text: ijaa-2018.txt item: #187 of 571 id: ijaa-2019 author: Latigui, Nawel; Messirdi, Bekkai; Ghomari, Kaoutar title: Birkhoff Normal Forms for Born-Oppenheimer Operators date: 2020-02-29 words: 3968 flesch: 72 summary: Now, we introduce the space S to be the set of formal series: S =   ∑ α,β∈Nn,`∈N tα,β,lx αξβh` : tα,β,l ∈ C for all α,β ∈ Nn,` ∈ N   where the degree of xαξβh` is defined by |α| + |β| + 2`, α,β ∈ Nn, ` ∈ N, for technical reasons that of h is double-counted. (L is a third Hilbert space), the range of Op(a) is contained in the domain of Op(b), and b]a(x,ξ,h) = ∑ α∈Nn h|α| i|α|α! ∂αξ b(x,ξ; h)∂ α xa(x,ξ; h) ∈ S 0(Ω∗,L(H,L)). keywords: birkhoff; form; hamiltonian; operator; p(h cache: ijaa-2019.pdf plain text: ijaa-2019.txt item: #188 of 571 id: ijaa-2020 author: Ahmad, Izhar; Kummari, Krishna; Al-Homidan, S. title: Sufficiency and Duality for Interval-Valued Optimization Problems with Vanishing Constraints Using Weak Constraint Qualifications date: 2020-07-17 words: 5268 flesch: 80 summary: Let x̃ ∈ F and there exist 0 < Let x̃ ∈ F and (ỹ, λ̃L, λ̃U, µ̃, γ̃, η̃`, η̃Φ) keywords: i=1 cache: ijaa-2020.pdf plain text: ijaa-2020.txt item: #189 of 571 id: ijaa-2025 author: Saad, M. Khalifa; Abdel-Aziz, H. S. title: On the Equiform Differential Geometry of AW(k)-Type Curves in Pseudo-Galilean 3-Space date: 2019-12-22 words: 4144 flesch: 83 summary: AW(k)-type curves; spacelike and timelike curves; general helix; equiform geometry; pseudo-Galilean space. Section 4 contains a study of AW(k)-type equiform Frenet curves. keywords: cosh; equiform; g13; sinh cache: ijaa-2025.pdf plain text: ijaa-2025.txt item: #190 of 571 id: ijaa-2026 author: Hussain, Javed; Khan, Bareerah title: On Cox-Ross-Rubinstein Pricing Formula for Pricing Compound Option date: 2019-12-22 words: 7253 flesch: 88 summary: Thirdly, to prove that our newly derived CRR risk neutral pricing formula for compound call option, converges in distribution to the well known, continuous time Black-Scholes formula for pricing the compound call option on call. The evaluation of European compound option prices under stochastic volatility using Fourier transform techniques. keywords: ln d; ln u; n−m cache: ijaa-2026.pdf plain text: ijaa-2026.txt item: #191 of 571 id: ijaa-2031 author: Obeidat, Sofian title: Some Inequalities for n-Time Differentiable Mappings Using a Multi-Step Kernel with Applications date: 2019-12-22 words: 4438 flesch: 92 summary: If g(n) ∈ L1 ([x1, x2]) and ∣∣g(n)∣∣q is convex on [x1, x2] , where q > 1, then ∣∣∣∣∣∣ ∫ x2 x1 g (x) dx− 2m−1∑ l=1 n−1∑ k=0   ( 1 + (−1)k ) 2−m(k+1) (x2 −x1) −k−1 (k + 1)! (2.11) ×g (k) ( (2l − 1) x1 + (2m − 2l + 1) x2 2m )]∣∣∣∣ ≤ (x2 −x1) n+1 2m(n+1)n! ( 1 1 + pn )1 p × [( 1 2m+1 ∣∣∣g(n) (x1)∣∣∣q + (1 − 1 2m+1 )∣∣∣g(n) (x2)∣∣∣q)1q + (( 1 − 1 2m+1 )∣∣∣g(n) (x1)∣∣∣q + 1 2m+1 ∣∣∣g(n) (x2)∣∣∣q)1q +2 2m−1−1∑ l=1 ( l 2m−1 ∣∣∣g(n) (x1)∣∣∣q + (1 − l 2m−1 )∣∣∣g(n) (x2)∣∣∣q)1q   , where 1 p + 1 q = 1. Proof. + (2m − 2l + 1) x2 2m )]∣∣∣∣ ≤ (x2 −x1) n+1 2m(n+1) (n + 1)! keywords: n + cache: ijaa-2031.pdf plain text: ijaa-2031.txt item: #192 of 571 id: ijaa-2032 author: Farman, Muhammad; Usman, Muhammad; Ahmad, Aqeel; Ahmad, M.O. title: Mathematical Analysis of Fractional Order Co-Infection TB and HIV Model date: 2019-12-22 words: 5193 flesch: 76 summary: αT =Rate of transmission from Exposed with TB humans to Infected TB humans αH=Rate of transmission from Exposed with HIV+ humans to Infected HIV+ humans, αHT =Rate of transmission from Co-exposed with TB and HIV+ humans to Co-infected with TB and HIV+ humans, σT =Rate of transmission from Quarantined humans with TB infected to Recovered humans, σH=Rate of transmission from Quarantined humans with AIDS infected to Recovered humans, σHT =Rate of transmission from TB infected humans to Quarantined humans with TB infected, γH=Rate of transmission from AIDS infected humans to Quarantined humans with AIDS infected, γHT =Rate of transmission from TB and AIDS Co-infected humans to Quarantined humans with TB and AIDS co- infected, keywords: hiv; humans; time cache: ijaa-2032.pdf plain text: ijaa-2032.txt item: #193 of 571 id: ijaa-2034 author: Kumar, Shrawan; Mathur, Neha; Mishra, Vishnu Narayan; Mathur, Pankaj title: Radau Quadrature for an Almost Quasi-Hermite-Fejer-Type Interpolation in Rational Spaces date: 2021-02-01 words: 3505 flesch: 85 summary: Since, χn(y) = 2n−1∏ j=0 y −zj y − z̄j which by logarithmic differentiation gives d dy χn(y) = χn(y) 2n−1∑ j=0 zj − z̄j (y −zj)(y − z̄j) . Since Un ∈Pn−1(a0,a1, · · · ,a2n−1), we can express it as Un(x) := Sn−1(x) (S∗n(x)) 1/2 where S∗n(x) := (x − a0)(x − a1) · · ·(x − a2n−1), Sn−1(x) := cn−1(x − x1)(x keywords: interpolation; lim cache: ijaa-2034.pdf plain text: ijaa-2034.txt item: #194 of 571 id: ijaa-2035 author: Mishra, A.; Padhy, B. P.; Majhi, B. K.; Misra, U. K. title: A Note on Generalized Indexed Product Summability date: 2020-02-29 words: 2498 flesch: 83 summary: [7] Sulaiman, W.T., A Note on product summability of an infinite series, Int. 18 (2) (2020) 174 We assume through out this paper that Qn = q0 +q1 +...+qn →∞ as n →∞ and Pn = p0 +p1 +...+pn →∞ as n →∞. 2. Known Theorems In 2008, Sulaiman keywords: ν=1 cache: ijaa-2035.pdf plain text: ijaa-2035.txt item: #195 of 571 id: ijaa-2047 author: Alsharari, Fahad title: Ideals on Generalized Topological Spaces date: 2020-02-29 words: 4313 flesch: 89 summary: Now for each x ∈ Ψg(A)−A and U ∈ Ng(x) and U ∩(Ψg(A)−A) Thus, x ∈ Ag that is, there exists U ∈ Ng(x) such that U ∩A /∈ keywords: space; theorem cache: ijaa-2047.pdf plain text: ijaa-2047.txt item: #196 of 571 id: ijaa-2060 author: Moffat, Imoh Udo; Akpan, Emmanuel Alphonsus title: Robustifying Forecast Performance Through Hybridized Arima-Garch-Type Modeling in a Discrete-Time Stochastic Series date: 2020-05-11 words: 3988 flesch: 61 summary: On the other hand, instead of accounting for fluctuating parameters of a single model in order to achieve improved forecast accuracy, it is a good practice and in line with the recent innovation trend in time series to combat the menace of model instability on forecast accuracy through combined models. ARIMA model, GARCH-type, and hybridized ARIMA-GARCH-type were considered. keywords: arima; forecast; mae; model; mse; performance; series; time; type cache: ijaa-2060.pdf plain text: ijaa-2060.txt item: #197 of 571 id: ijaa-2061 author: Benattia, Mohamed Elarbi; Belghaba, Kacem title: The Analytical Solution of Telegraph Equation of Space-Fractional Order Derivative by the Aboodh Transform Method date: 2020-02-29 words: 2800 flesch: 84 summary: α ≤ 2, (4.13) with initial conditions   u(0, t) = e−3t, t ≥ 0 ux(0, t) = 2e α ≤ 2, (4.1) with initial conditions   u(0, t) = e−t, t ≥ 0 ux(0, t) = e −t, t ≥ 0 (4.2) we appling the AT with (2.8) into (4.1) and (4.2) we get: vαA keywords: u(x; u0(x; un(x cache: ijaa-2061.pdf plain text: ijaa-2061.txt item: #198 of 571 id: ijaa-2064 author: Nguyen, Nhu-Ty title: Attitudes and Repurchase Intention of Consumers Towards Functional Foods in Ho Chi Minh City, Vietnam date: 2020-02-29 words: 7571 flesch: 61 summary: This led to the serious outcomes such as Functional foods and dangers behind advertising, overusing functional food being in danger on recent newspapers (according to datviet in 2018). TRU3 Functional foods are a convenient way of meeting daily nutrient requirements that I never meet with conventional diet 14.48 9.077 .667 .813 TRU4 I can improve my personal health by using functional foods 14.37 9.693 .632 .821 TRU6 Safety levels of functional foods are tested carefully 14.56 10.463 .546 .842 After conducting Reliability test, all independent variables meet the standard requirements of reliability will be retested by EFA to test the correlation andamong factors. keywords: anal; appl; attitude; consumers; factors; foods; health; intention; j. anal; repurchase; research; trust cache: ijaa-2064.pdf plain text: ijaa-2064.txt item: #199 of 571 id: ijaa-2065 author: Ourahmoun, A.; Bouderah, B.; Serrar, T. title: Analysis of Quasistatic Frictional Contact Problem with Subdifferential Form, Unilateral Condition and Long-Term Memory date: 2020-02-29 words: 4132 flesch: 71 summary: such that for all ε1,ε2 ∈Sd,a.e.x ∈ Ω, ‖A(x,ε1) −A(x,ε2)‖≤ LA |ε1 such that for all ε1,ε2 ∈Sd,a.e.x ∈ Ω, (A(x,ε1) −A(x,ε2)) . keywords: contact; inequalities; problem; variational cache: ijaa-2065.pdf plain text: ijaa-2065.txt item: #200 of 571 id: ijaa-2070 author: Mehmood, Mazhar; Shoaib, Abdullah; Khalid, Hamza title: Some Fixed Point Results for Multivalued Mappings in b-Multiplicative and b-Metric Space date: 2020-04-27 words: 3603 flesch: 87 summary: A sequence {wn} is convergent iff there exists w ∈ W , such that m(wn,w) → 1, as n → +∞. ii. A mapping m : W ×W → [1,∞) is called a b-multiplicative metric with coefficient s, if the following conditions hold: i. m(w,y) > 1 for all w,y ∈ W with w 6= y and m(w,y) = 1 if and only if w = y. ii. keywords: metric; space cache: ijaa-2070.pdf plain text: ijaa-2070.txt item: #201 of 571 id: ijaa-2071 author: Belmouhoub, Soumia; Messirdi, Bekkai; Senoussaoui, Abderrahmane title: Semiclassical Resonances via Meromorphy of the Resolvent and the S-Matrix date: 2020-02-29 words: 5506 flesch: 75 summary: For λ ∈ C�[0, +∞[, the resolvent RV (λ) = (P(h) −λ) −1 is an holomorphic function from C�[0, +∞[ to B(L2(Rn)) the algebra of bounded operators on L2(Rn). In particular, this is true for z = z0 and for z ∈ V (z). keywords: continuation; meromorphic; operator; poles; resolvent; resonances cache: ijaa-2071.pdf plain text: ijaa-2071.txt item: #202 of 571 id: ijaa-2072 author: Saoudi, Ahmed title: Reproducing Formulas for the Fourier-Like Multipliers Operators in q-Rubin Setting date: 2020-04-27 words: 4494 flesch: 81 summary: 2K √ a(q,q)∞ ‖m‖q,2‖f‖q,1. (ii) If m ∈ L∞q and f ∈ L2q, then Tmf ∈ L2q, and we have ‖Tmf‖q,2 ≤‖m‖∞,q‖f‖q,2. (iii) If m ∈ L2q and f ∈ L2q, then Tmf ∈ L∞q , and we have Tmf(x) = K ∫ ∞ −∞ m(aξ)Fq(f)(ξ)e(iξx; q2)dqξ, x ∈ Rq and ‖Tmf‖q,∞ ≤ If f ∈ L1q, then, we have the reciprocity formula ∀t ∈ Rq, f(t) = keywords: function; l2q cache: ijaa-2072.pdf plain text: ijaa-2072.txt item: #203 of 571 id: ijaa-2075 author: Iqbal, Taswar; Iqbal, Muhammad Zafar title: On the Mixture Of Weighted Exponential and Weighted Gamma Distribution date: 2020-04-27 words: 4130 flesch: 75 summary: Cumulative distribution function of MWEG distribution at different values of θ 2. The concept of finite mixture distribution was pioneered by Newcomb keywords: distribution; function; mixture; mweg cache: ijaa-2075.pdf plain text: ijaa-2075.txt item: #204 of 571 id: ijaa-2077 author: Hajivand, Shokrollah; Moghaddasi, Reza; Zeraatkish, Yaaghoob; Mohammadinejad, Amir title: An Application of Stochastic Frontier Gravity Approach (The Case of Iran's Potential Agricultural Exports) date: 2020-04-27 words: 3648 flesch: 50 summary: However, potential trade refers to open and frictionless trade between countries. Thus, for policy purposes, it is sensible to define potential trade as the maximum trade that can occur between any two countries which have bilaterally liberalized trade regimes given the conventional determinants of trade (size of the trading countries, the geographical distance, etc.). keywords: border; constraints; countries; exports; gravity; iran; model; potential; trade cache: ijaa-2077.pdf plain text: ijaa-2077.txt item: #205 of 571 id: ijaa-2082 author: Thanh, Ly Dan; Chon, Le Van; Thong, Bui Quang; Nguyen, Nhu-Ty title: Determinants to Gain More Effective Meetings in the Context of Vietnamese Organizations date: 2020-04-27 words: 6788 flesch: 55 summary: Meeting effective ness contains 7 items and is also named meeting effectiveness. meeting effectiveness; leadership; substantive conflict; internal communication; agenda. keywords: agenda; anal; appl; communication; conflict; effectiveness; int; leadership; meeting; nguyen; organization cache: ijaa-2082.pdf plain text: ijaa-2082.txt item: #206 of 571 id: ijaa-2083 author: Nguyen, Nhu-Ty title: Analyzing the Case of VietJet Air to Assess the Vietnamese Customers' Airline Brand Equity: An Empirical Research Study date: 2020-05-13 words: 5743 flesch: 64 summary: To investigate this study, some goals need to be achieved as follow: Identify the brand equity dimensions of Vietjet from the customer’s perspective Evaluate the inter-relationships between those dimensions of brand equity Significance of dimensions have direct effects on overall brand equity Suggest recommendations to improve Vietjet brand equity [5] Brand Equity airline model in Taiwan, using structural equation modeling (SEM) to investigate the interrelationship between the dimensions of the components of brand equity in the airline industry and how they directly affect brand equity. keywords: airline; appl; brand; equity; image; int; nguyen; quality; research; t. t.; vietjet cache: ijaa-2083.pdf plain text: ijaa-2083.txt item: #207 of 571 id: ijaa-2087 author: Souilah, Fairouz; Maouni, Messaoud; Slimani, Kamel title: The Existence Result of Renormalized Solution for Nonlinear Parabolic System with Variable Exponent and L1 Data date: 2020-06-25 words: 8133 flesch: 91 summary: 18 (5) (2020) 759 ≤ ∫ Q γ (uε) θn(u ε)dxdt + ∫ Q fε1 (x,t,u ε,vε)θn(u ε)dxdt + ∫ Ω θ̃n (u ε 0) dx ≤ ∫ {|uε|≥n} |γ (uε)|dxdt + ∫ {|uε|≥n} |fε1 (x,t,u ε,vε)|dxdt + ∫ {|b1ε(uε0)|≥n} ∣∣b1ε(uε0)∣∣dx. Similarly, we take test function θn(v ε) in (4.16) leads to ∫ {n≤|vε|≤n+1} |∇vε|2dxdt (4.47) ≤ ∫ Q fε2 (x,t,u ε,vε)θn(v ε)dxdt + ∫ Ω θ̃n (v ε 0) dx ≤ ∫ {|vε|≥n} |fε2 (x,t,u ε,vε)|dxdt + ∫ {|b2ε(vε0 )|≥n} ∣∣b2ε(vε0)∣∣dx. keywords: lim; u ε cache: ijaa-2087.pdf plain text: ijaa-2087.txt item: #208 of 571 id: ijaa-2089 author: Batool, Safeera; Noor, Muhammad Aslam; Noor, Khalida Inayat title: Absolute Value Variational Inequalities and Dynamical Systems date: 2020-04-27 words: 5902 flesch: 69 summary: We propose and analyze the projected dynamical system associated with absolute value variational inequalities by using the projec- tion method. We suggest different iterative algorithms for solving absolute value variational inequalities by discretizing the corresponding projected dynamical system. keywords: appl; inequalities; solution; system; value; variational cache: ijaa-2089.pdf plain text: ijaa-2089.txt item: #209 of 571 id: ijaa-2093 author: Selmi, Ridha; Benameur, Jamel title: Study of the Blow Up of the Maximal Solution to the Three-Dimensional Magnetohydrodynamic System in Lei-Lin-Gevrey Spaces date: 2020-04-27 words: 6489 flesch: 88 summary: Then ‖ ∫ t 0 e(t−τ)∆div(uv)dτ‖X−1a,σ ≤‖u‖ 1/2 L∞ T (X−1a,σ) ‖u‖1/2 L1 T (X1a,σ) ‖v‖1/2 L∞ T (X−1a,σ) ‖v‖1/2 L1 T (X1a,σ) . [0, t] and t ∈ [0,T], it follows that ∫ T 0 ‖ ∫ t 0 e(t−τ)∆div(uv)dτ‖X1a,σdt ≤ keywords: appl; a′,σ; x1a; x−1a; ‖(u cache: ijaa-2093.pdf plain text: ijaa-2093.txt item: #210 of 571 id: ijaa-2117 author: Djilali, Medjahed; Hakem, Ali; Benali, Abdelkader title: Exact Solutions of Kupershmidt Equation, Approximate Solutions for Time-Fractional Kupershmidt Equation: A Comparison Study date: 2020-04-27 words: 6949 flesch: 84 summary: In this paper, we will study an important nonlinear evolution equation called kueprshmidt equation (see [12,13] ) in the form ut −u5x − 5 2 uu3x − 25 4 uxu2x − 5 4 u2ux = 0. in this section, we will apply the Tanh method to find the axact solutions of Kupershmidt equation in the form, ∂u(x,t) ∂t − ∂5u(x,t) ∂x5 − 5 2 u(x,t) ∂3u(x,t) ∂x3 − 25 4 ∂u(x,t) ∂x ∂2u(x,t) ∂x2 − 5 4 u(x,t)2 ∂u(x,t) ∂x = 0. keywords: appl; equation; method; nonlinear; tanh; γ(2α; γ(α cache: ijaa-2117.pdf plain text: ijaa-2117.txt item: #211 of 571 id: ijaa-2120 author: Bukor, József title: A Note on Olivier's Theorem and Convergence in Erdos-Ulam Density date: 2020-04-27 words: 1446 flesch: 81 summary: positive series; weighted density; convergence in density. A sequence (an) converges to a number α in density df , which we denote as (df )– keywords: density cache: ijaa-2120.pdf plain text: ijaa-2120.txt item: #212 of 571 id: ijaa-2122 author: Abdelkader, Benali; Meziane, Mohammed; Mortad, Mohammed Hichem title: On the Normality of the Product of Tow Operators in Hilbert Space date: 2020-05-19 words: 2709 flesch: 78 summary: Since AB is closed, we have T ⊂ AB =⇒ T ⊂ AB, and T ⊂ AB =⇒ BA∗ T =⇒ BA ⊂ T ⊂ A∗B =⇒ BA∗ ⊂ AB (by Fuglede-Putnam Theorem). keywords: normal; operators cache: ijaa-2122.pdf plain text: ijaa-2122.txt item: #213 of 571 id: ijaa-2123 author: Ibrahim, Hariwan Z. title: Micro Separation Axioms date: 2020-05-11 words: 6202 flesch: 90 summary: Conversely, suppose {p} is Micro closed for every p ∈ U. Let x,y ∈ U with x 6= y. Then, for each distinct pair x,y ∈ U, at least one of x,y, say x, belongs to a MD-set G but y /∈ keywords: cl({x; micro cache: ijaa-2123.pdf plain text: ijaa-2123.txt item: #214 of 571 id: ijaa-2131 author: Saliu, Afis; Noor, Khalida Inayat title: On Janowski Close-to-Convex Functions Associated with Conic Regions date: 2020-05-14 words: 3485 flesch: 94 summary: analytic functions; open unit disk; Janowski functions; subordination; univalent functions; conic domains. To estimate the growth rate of Hankel determinant for f ∈ k − Hm1m2 (A,B,C,D), we need the following results due to Noonan and Thomas keywords: functions cache: ijaa-2131.pdf plain text: ijaa-2131.txt item: #215 of 571 id: ijaa-2133 author: Gaber, A.A.; Shehata, M.H. title: New Approach of MHD Boundary Layer Flow Towards a Porous Stretching Sheet via Symmetry Analysis and the Generalized Exp-Function Method date: 2020-06-24 words: 2924 flesch: 72 summary: boundary layer; exact solutions; generalized exp-function method. References [1] L.V. Ovsiannikov, Group analysis of differential equations. keywords: boundary; equations; layer; solutions cache: ijaa-2133.pdf plain text: ijaa-2133.txt item: #216 of 571 id: ijaa-2137 author: Debnath, Pradip; de La Sen, Manuel title: On Some New Contractive Conditions for Asymptotically Regular Set-Valued Mappings date: 2020-05-11 words: 2996 flesch: 83 summary: R is said to have a closed graph G(R) if G(R) = {(µ,ν) : ν ∈ Rµ,µ ∈ X} is a closed subset of X ×X with the product topology. This notion has been exploited by several authors to obtain fixed points of the concerned map. keywords: set cache: ijaa-2137.pdf plain text: ijaa-2137.txt item: #217 of 571 id: ijaa-2138 author: Pandey, C. P.; Phukan, Pranami title: Continuous and Discrete Wavelet Transforms Associated with Hermite Transform date: 2020-05-11 words: 5140 flesch: 89 summary: Hermite transforms; continuous Hermite wavelet transform; discrete Hermite wavelet transform; Hermite convolution. We also discussed some basic properties of Hermite wavelet transform. keywords: wavelet cache: ijaa-2138.pdf plain text: ijaa-2138.txt item: #218 of 571 id: ijaa-2139 author: Egwe, M.E. title: Spherical-Radial Multipliers on the Heisenberg Group date: 2020-06-17 words: 2082 flesch: 75 summary: spherical-radial multipliers; Herz-Schur; Heisenberg group. [11] S. Helgason, Groups and geometric analysis: integral geometry, invariant differential operators, and spherical functions, Academic Press, Orlando, 1984. keywords: group; heisenberg; ihn; multiplier cache: ijaa-2139.pdf plain text: ijaa-2139.txt item: #219 of 571 id: ijaa-2141 author: Akin, Nimet Pancaroglu title: Invariant Summability and Unconditionally Cauchy Series date: 2020-06-01 words: 3809 flesch: 91 summary: 18 (4) (2020) 665 H = sup{‖ n∑ i=1 aixi‖ : n ∈ N, |ai| ≤ 1, i ∈{1, . . . ,n}} = sup{‖ n∑ i=1 εixi‖ : n ∈ N,εi ∈{−1, 1}, i ∈{1, . . . keywords: series cache: ijaa-2141.pdf plain text: ijaa-2141.txt item: #220 of 571 id: ijaa-2142 author: Hassan, Abdelgabar Adam title: Semi Generalized Open Sets and Generalized Semi Closed Sets in Topological Spaces date: 2020-10-13 words: 2793 flesch: 82 summary: topological spaces; semi generalized open sets; semi generalized closed sets. The aim of this paper is to introduce the concept of semi generalized open Sets and generalized semi closed Sets in topological spaces, and provide Semi generalized open Sets and generalized semi closed Sets in topological spaces. keywords: open; set; set 𝐴; sets cache: ijaa-2142.pdf plain text: ijaa-2142.txt item: #221 of 571 id: ijaa-2143 author: Hassan, Abdelgabar Adam; Jawed, Mohammad title: A Commutative and Compact Derivations for W* Algebras date: 2020-05-28 words: 7232 flesch: 92 summary: Let us start by noticing that if ( )iQ p  for 1, 1, , 0n ni n n Q Q += + = and 1n We have to show that for every ( )  1, 1 , n nG p G Q Q +  − we have 1nG G + . keywords: n n cache: ijaa-2143.pdf plain text: ijaa-2143.txt item: #222 of 571 id: ijaa-2146 author: Selmi, Ridha; Azem, Leila title: Strong Solutions to 3D-Lagrangian Averaged Boussinesq System date: 2020-12-17 words: 4489 flesch: 81 summary: t ∈ + κ ∫ t 0 ‖∆θα‖2L2(T3)dτ keywords: l2(t3; solution cache: ijaa-2146.pdf plain text: ijaa-2146.txt item: #223 of 571 id: ijaa-2150 author: Chellali, Cherifa; Benali, Abdelkader title: Class of (n, m)-Power-D-Hyponormal Operators in Hilbert Space date: 2020-07-14 words: 3323 flesch: 87 summary: Then T is (2, 1)-power-D-hyponormal operator, but〈( (T D)2T ∗ −T ∗(T D)2 ≥ (T D)2T ∗2. keywords: hyponormal cache: ijaa-2150.pdf plain text: ijaa-2150.txt item: #224 of 571 id: ijaa-2152 author: Nguyen, Nhu-Ty; Pham, Luong-Hoai-Thuong title: A Study on Millennial Generation in Vietnam on the Factors to Motivate Employees date: 2020-06-17 words: 5686 flesch: 57 summary: 18 (5) (2020) 717 [36] C. N.Wang, N. T. Nguyen, T. T. Tran, An empirical study of customer satisfaction towards bank payment card service quality in Ho Chi Minh banking branches. [37] C. N.Wang, N. T. Nguyen, T. T. Tran, The study of staff satisfaction in consulting center system-A case study of job consulting centers in Ho Chi Minh City, Vietnam. keywords: anal; appl; factors; goals; int; j. anal; motivation; performance; t. t.; theory; work cache: ijaa-2152.pdf plain text: ijaa-2152.txt item: #225 of 571 id: ijaa-2153 author: Anjam, Yasir Nadeem title: Geometric Singularities of the Poisson's Equation in a Non-Smooth Domain with Applications of Weighted Sobolev Spaces date: 2020-06-03 words: 7407 flesch: 71 summary: This paper deals with the boundary singular- ities of weak solutions of boundary value problems governed by the Poisson equation in a two-dimensional non-smooth domain with singular points on the boundary. [14] P. Grisvard, Singularities in boundary value problems, Springer, 1992. keywords: boundary; conditions; points; problem; regularity; solution; value cache: ijaa-2153.pdf plain text: ijaa-2153.txt item: #226 of 571 id: ijaa-2166 author: Hanafiah, Mohd Hafiz title: Formative Vs. Reflective Measurement Model: Guidelines for Structural Equation Modeling Research date: 2020-08-10 words: 4481 flesch: 47 summary: Criteria used to Determine the Mode of Measurement Models Reflective model Formative model Using existing latent construct and involves a realist interpretation of a latent construct Latent construct is formed, constructivist, operationalist, or instrumentalist interpretations Causality from constructs to indicators; Causality from indicators to constructs indicators are manifested by the construct; they are interchangeable and share a common theme; dropping an indicator does not alter the meaning of the construct Indicators define the construct; they need not share a common theme; they are not interchangeable; dropping an indicator may alter the meaning of the construct Measures have a high correlation, as they are all dependent on the same unobservable variable Measures have positive, negative, low or zero correlation with one In formative measurement models, the latent variable is considered a consequence of its respective indicators and because the latent variable is defined by its indicators, changing/replacing a formative indicator will alter the meaning of the latent variable. keywords: construct; formative; indicators; measurement; model; pls; sem; validity cache: ijaa-2166.pdf plain text: ijaa-2166.txt item: #227 of 571 id: ijaa-2168 author: Souad, Bensaid; Sofiane, Dehilis; Abdelfatah, Bouziani title: Explicit and Implicit Crandall's Scheme for the Heat Equation with Nonlocal Nonlinear Conditions date: 2021-08-01 words: 4673 flesch: 85 summary: i + (1 − 6r)u n+1 i+1 = (1 + 6r)uni−1 + (10 − 12r)u n i + (1 + 6r)u n i+1 +12k ( 1 12 fn+1i−1 + 1 3 fn+1i + 1 12 fn+1i+1 + 1 2 fni ) , for i = 1, 2, ...,M − 1, n = 0, 1, ...,N. 2. If r 6= 1 6 , the Crandall’s scheme (1.6) is implicite : (3.1) (1 − 6r)un+1i−1 + (10 + 12r)u n+1 i + (1 − 6r)u n+1 i+1 = (1 + 6r)uni−1 + (10 − 12r)u n i + (1 + 6r)u n i+1 +12k ( 1 12 fn+1i−1 + 1 3 fn+1i + 1 12 fn+1i+1 + 1 2 fni ) , for i = 1, 2, ...,M − 1, n = 0, 1, ...,N. Equation (3.1) presents M − 1 linear equations in M + 1 unknowns u0,u1, · · · ,uM. In order to solve the linear system, we need two more equations, that we can obtain approximating the integrals in (1.3) and Int. keywords: n+1 cache: ijaa-2168.pdf plain text: ijaa-2168.txt item: #228 of 571 id: ijaa-2174 author: Zou, Qing title: Some Notes on Error Analysis for Kernel Based Regularized Interpolation date: 2020-06-17 words: 3747 flesch: 70 summary: In view of the advantages of kernel based regularized interpolation, there is pretty much work on using kernel based regularized interpolation to deal with different situations, as we mentioned above. This expression is called kernel based regularized interpolation. keywords: error; function; interpolation; kernel cache: ijaa-2174.pdf plain text: ijaa-2174.txt item: #229 of 571 id: ijaa-2175 author: Ghasemi, Maryam; Moghaddasi, Reza; Zeraatkish, Yaaghoob title: How Globalization Is Related to Energy Productivity? (A Mathematical Analysis on Iran's Agricultural Data) date: 2020-09-29 words: 2431 flesch: 57 summary: Energy consumption and economic growth in Asian economies: A more comprehensive analysis using panel data. 1. INTRODUCTION Energy is categorized among the essential drivers of global development in general and developing nations’ economic growth in particular [19,13,30,31,32]. keywords: agriculture; consumption; econ; energy; globalization; growth; productivity cache: ijaa-2175.pdf plain text: ijaa-2175.txt item: #230 of 571 id: ijaa-2176 author: Zellal, Mohamed; Belghaba, Kacem title: He's Variational Iteration Method for Solving Multi-Dimensional of Navier Stokes Equation date: 2020-06-24 words: 4683 flesch: 83 summary: + z, w(x,y,z, 0) = x + y − 1 2 z. (3.10) + (x + y − 1 2 z) 9 4 t2 − 9 4 zt− 27 16 zt3,   u3(x,y,z,t) = (− 1 2 x + y + z) + keywords: iteration; method cache: ijaa-2176.pdf plain text: ijaa-2176.txt item: #231 of 571 id: ijaa-2185 author: Iqbal, Zafar; Rashad, Muhammad; Hanif, Muhammad title: Properties of the Libby-Novick Beta Distribution with Application date: 2021-04-09 words: 8343 flesch: 85 summary: − − − − + − −       − − −   ( ) ( ) ( )22 1 3 1 = 0c x a c bc x a− + − − − + − 2 4 = 2 −  −B B AC x A x d= when the quadratic equation cuts to X – axis. lnf x dx & ( ) 3 3 0 d lnf x dx  ( ) ( ) ( )( ) ( ) ( ) ( )( ) ( ) 2 2 2 2 2 2 22 2 2 1 11 1 1 1 = = 0 1 11 1 1 1 a + b c a + b cd a b a b lnf x dx x xx xc x c x − −− − − − − − + − − + − −− − − −       (2.25) keywords: = =; b b; b c; − =; − − cache: ijaa-2185.pdf plain text: ijaa-2185.txt item: #232 of 571 id: ijaa-2194 author: Azzi, Ahmed; Hanifi, Zoubir; Bekkar, Mohammed title: Surfaces as Graphs of Finite Type in H2 × R date: 2020-07-27 words: 3289 flesch: 84 summary: In 1835, H. F. Scherk studied translation surfaces in E3 and proved that, besides the planes, the only minimal translation surfaces are given by z(x, y) = 1 λ log |cos(λx)|− 1 λ log |cos(λy)| , where λ is a non-zero constant. R Then, S satisfies the equation ∆ri = λiri, λi ∈ R if and only if S is minimal surfaces or parametrized as S : r(x,y) = ( x,y,± √ λ2 λ3 ln 1 y2 + c ) ; λ2 6= 0, λ3 6= 0, c ∈ R. Conflicts of Interest: keywords: surfaces cache: ijaa-2194.pdf plain text: ijaa-2194.txt item: #233 of 571 id: ijaa-2195 author: Ashraf, Jawad Hussain; Ahmad, Munir; Khalique, A.; Iqbal, Zafar title: A New Generalized Exponential Distribution: Properties and Applications date: 2020-07-17 words: 6489 flesch: 77 summary: In other words, when the components are identical and independently distributed as exponential distribution G(x), for γ = 1, the NGE model is a product of Weibull competing risk model [1 − ∏n i=1(1 − Gi(x))] and multiplicative Weibull model ∏n i=1 Gi(x). Exponential distribution α 1 0 keywords: distribution; exponential; nge cache: ijaa-2195.pdf plain text: ijaa-2195.txt item: #234 of 571 id: ijaa-2196 author: Muhiuddin, G.; Al-Kadi, D.; Mahboob, A.; Shum, K.P. title: New types of bipolar fuzzy ideals of BCK-algebras date: 2020-07-29 words: 5901 flesch: 90 summary: BCK-algebras; fuzzy ideal; bipolar fuzzy ideal; bipolar fuzzy closed ideal; bipolar fuzzy positive implicative ideal; bipolar fuzzy implicative ideal. Let µ and λ be bipolar fuzzy ideals of T such that µn(0) = λn(0),µp(0) keywords: fuzzy; ideal cache: ijaa-2196.pdf plain text: ijaa-2196.txt item: #235 of 571 id: ijaa-2198 author: Yavuz, AyÅŸe; Yayli, Yusuf title: Ruled Surfaces with Constant Slope Ruling According to Darboux Frame in Minkowski Space date: 2020-09-03 words: 6143 flesch: 86 summary: If X(s) is a asymptotic curve and w (s) = ∫ κd (s) where cos w (s) 6= 0, then striction line of spacelike surface is equal to base curve. If u(s) is a geodesic curve and w (s) = −σ ∫ κ sinh w (s) d (s) where σ2 − 1 > 0, then striction line of spacelike surface is equal to base curve. keywords: curve; line; spacelike; surface; w(s cache: ijaa-2198.pdf plain text: ijaa-2198.txt item: #236 of 571 id: ijaa-2213 author: Ameer Ahamad, N. title: Applicable Solution for a Class of Ordinary Differential Equations with Singularity date: 2020-08-20 words: 3702 flesch: 82 summary: ordinary differential equation; hypergeometric series; boundary value problem; exact solution; nanofluid. Exact solution and convergence analysis 3.1. keywords: solution cache: ijaa-2213.pdf plain text: ijaa-2213.txt item: #237 of 571 id: ijaa-2218 author: Hussain, Rashida; Arbab, Asma; -, Salahuddin; Munir, Mohammad; Kausar, Nasreen; Ali, Asghar title: A Polynomial Linear Regression Approach to Estimate Sensitive Parameters in the Novel Double Diabetes Model date: 2020-09-03 words: 6201 flesch: 74 summary: ka1 −ke   , A2 =   k21 + 0.11892K1 +k1k2 + 0.00919 k2(−k1 − k2 − 0.06247) −0.00002k2 −0.00002k2 + 1.59065ka2 −0.00002k2 + 1.59065ka1 1.59065(−k1 − ke − 0.05946) k1(−k1 −k2 − 0.06247) 3.451ka1 0 (ka1) 2 0 3.5506 ∗ 10−3(−k1 −ke − 0.05946) 3.5506 ∗ 10−3k2 k2a1 ka2 (−ka2 − ke − 3.4855) −k 2 a1 − keka1 0.00565 + k 2 e   · · · . keywords: glucose; insulin; k a1; k a2; k e; model; parameters; respect; sensitivity cache: ijaa-2218.pdf plain text: ijaa-2218.txt item: #238 of 571 id: ijaa-2225 author: Khan, Muhammad Ghaffar; Darus, Maslina; Ahmad, Bakhtiar; Murugusundaramoorthy, Gangadharan; Khan, Raees; Khan, Nasir title: Meromorphic Starlike Functions with Respect to Symmetric Points date: 2020-10-14 words: 3233 flesch: 90 summary: For two functions f1 (z) = 1 z + ∑∞ n=1 an,1 z n and f2 (z) = 1 z + ∑∞ n=1 an,2 z n in D∗ the convolution or Hadamard product is defined by (f1 ∗f2) (z) = 1 z + ∞∑ n=1 an,1an,2z n. A function f ∈ M is said to be in the class MS∗ (α) of meromorphic starlike functions of order α if it satisfies the inequality (1.2) < ( zf′(z) f(z) ) < −α, z ∈ D∗ 0 keywords: a−b; n=1 cache: ijaa-2225.pdf plain text: ijaa-2225.txt item: #239 of 571 id: ijaa-2229 author: Kartal, BaÄŸdagül title: Generalized Absolute Riesz Summability of Infinite Series and Fourier Series date: 2020-09-14 words: 2260 flesch: 86 summary: By (2.2), (2.1) and (1.2), we get m+1∑ n=2 ϕβk+k−1n | In,2 | k = O(1) m∑ v=1 ϕβk−1v |λv||tv| k. Here, using Abel’s transformation as in In,1, we have m+1∑ n=2 ϕβk+k−1n | In,2 | k = O(1) as m →∞. Again, using Hölder’s inequality, we have m+1∑ n=2 ϕβk+k−1n | In,3 | k = O(1) m+1∑ n=2 ϕβk+k−1n ( pn PnPn−1 ) Finally, we get m∑ n=1 ϕβk+k−1n | In,4 | k = O(1) m∑ n=1 ϕβk+k−1n ( pn Pn )k |λn|k−1|λn||tn|k = O(1) m∑ n=1 ϕβk−1n |λn||tn| k. Here, as in In,1, we get m∑ n=1 ϕβk+k−1n | In,4 | k = O(1) as m →∞. Hence, the proof of Theorem 2.1 is completed. keywords: m+1∑; o(1; v=1 cache: ijaa-2229.pdf plain text: ijaa-2229.txt item: #240 of 571 id: ijaa-2231 author: Alsolame, Bashayer; Alshehri, Noura Omair title: Extension of VIKOR Method for MCDM Under Bipolar Fuzzy Set date: 2020-09-29 words: 3027 flesch: 68 summary: bipolar fuzzy set; VIKOR method. [13] N. Yalcin, A. Bayrakdaroglu, C. Kahraman, Application of fuzzy multi-criteria decision making methods for financial performance evaluation of Turkish manufacturing industries, Expert Syst. keywords: alternatives; compromise; criteria; decision; method; solution; vikor cache: ijaa-2231.pdf plain text: ijaa-2231.txt item: #241 of 571 id: ijaa-2233 author: Alsinai, Ammar; Alwardi, Anwar; Soner, N.D. title: On Reciprocals Leap Indices of Graphs date: 2020-11-24 words: 6107 flesch: 95 summary: The join graph G + H is the graph with vertex set V (G + H) = V (G) ∪ V (H) and edge set E(G + H) = E(G) ∪ E(H) ∪{uv : By taken the summation over edge set of graph G, we get RL2(G) keywords: d2(v; graph cache: ijaa-2233.pdf plain text: ijaa-2233.txt item: #242 of 571 id: ijaa-2235 author: Hussain, Javed title: Valuation of European Style Compound Option Written on European Style Currency and Power Options date: 2020-10-07 words: 5473 flesch: 82 summary: 18 (6) (2020) 1016 an explicit formula for pricing currency option was studied by Grabbe in [16, 1983], where the underlying currency option is driven by geometric Brownian motion. financial derivatives; option pricing; compound option; currency option; power option. keywords: currency; option; t1 −; − t cache: ijaa-2235.pdf plain text: ijaa-2235.txt item: #243 of 571 id: ijaa-2236 author: Saboor, Abdul; Iqbal, Zafar; Hanif, Muhammad; Ahmad, Munir title: Libby-Novick Kumaraswamy Distribution with Its Properties and Applications date: 2021-04-12 words: 8977 flesch: 85 summary: i s s s a a a s b i i a s a i P s a b c u u u du a s a i c  − − − − − =  + − +   = − −   + −     ( ) 11 ( 1)/ ( 1)( 1)/ ( 1) 0 0 ( 1)(1 ) / 1 1 (1 ) (( 1)(1 ) / ) ! i s b a s a i c  − − =  + − +   = − − − + keywords: = −; b b; b c; distribution; k b; − =; − −;  − cache: ijaa-2236.pdf plain text: ijaa-2236.txt item: #244 of 571 id: ijaa-2237 author: Haseeb, Abdul; Prakasha, D. G.; Harish, H. title: *-Conformal η-Ricci Solitons on α-Cosymplectic Manifolds date: 2021-02-01 words: 5271 flesch: 81 summary: Y = 0(3.13) for any vector fields Y,U,V,W ∈ χ(M). In this paper we undertake the study of α−cosymplectic manifolds admitting ∗-conformal η-Ricci solitons. keywords: manifold; ricci; soliton; tensor; ∗−conformal cache: ijaa-2237.pdf plain text: ijaa-2237.txt item: #245 of 571 id: ijaa-2239 author: Hussain, Javed; Ali, Pervez title: On Modelling and Pricing Weather Derivatives Driven by Nonlinear Brownian Motion date: 2020-11-24 words: 6342 flesch: 76 summary: G – Brownian motion has a very rich and interesting new structure that generalizes the classical structure without triviality. ,B G tn ∈ H it satisfies the following conditions, • BG0 (ω) = 0 • keywords: appl; expectation; êg; motion; t s; weather cache: ijaa-2239.pdf plain text: ijaa-2239.txt item: #246 of 571 id: ijaa-2249 author: My, Sang Tang title: Credit Risk and Bank Stability of Vietnam Commercial Bank: A BK Approach date: 2020-11-03 words: 5780 flesch: 66 summary: The results show that bank credit risk, profitability, and bank stability have a direct relationship and have a partial indirect relationship. To strengthen bank stability, improve efficiency and reduce bank credit risk in the coming period, Vietnam's banking system needs to have effective and appropriate management measures, as well as to identify the overall factors including internal and external elements, to make appropriate forecasts and strategies for hedging the increasingly complex developments of the macro environment. keywords: bank; bank stability; commercial; credit; impact; loans; model; non; performance; profitability; relationship; research; risk; stability cache: ijaa-2249.pdf plain text: ijaa-2249.txt item: #247 of 571 id: ijaa-2250 author: Derkaoui, Rafik; Smail, Abderrahmane title: Generalized Spectrum and Numerical Rang of Matrix the Lorentzian Oscillator Group of Dimension Four date: 2020-10-28 words: 2496 flesch: 83 summary: Among them, those that are solvable, non-commutative, and simply connected are called oscillator groups. Solutions of the Yang-Baxter equations on orthogonal groups: the case of oscillator groups, J. Geom. keywords: group; matrix; oscillator cache: ijaa-2250.pdf plain text: ijaa-2250.txt item: #248 of 571 id: ijaa-2252 author: Saleh, Anwar; Muthana, Najat; Al-Shammakh, Wafa; Alashwali, Hanaa title: Monotone Chromatic Number of Graphs date: 2020-11-17 words: 5979 flesch: 82 summary: The central vertex v is weak vertex, in this case, let us partition the vertex set into the following subsets of vertices, S1, the set of pendant vertices, S2 the set of support vertices, S3 the central vertex and the set of root vertices of degree equal to d and S4 the set of root vertices with degree greater than d. Now, |S3| = t + 1, we define monotone coloring function by assigning one color say 1 to the vertices of S1 and another color say 2 to the vertices of S2 and assign t + 1 different colors to the t + 1 vertices in S3 and assign one other color to the vertices in S4. The central vertex v is strong vertex, in this case let us partition the vertex set into the following subsets of vertices; S1 the set of pendant vertices, S2 the set of support vertices S3 the central vertex with the set of root vertices of degree equal to d and S4 the set of root vertices with degree less than d. keywords: coloring; graph; monotone; set; vertex; vertices cache: ijaa-2252.pdf plain text: ijaa-2252.txt item: #249 of 571 id: ijaa-2253 author: Ahmed, A.M. Hanan; Alwardi, Anwar; Salestina, M. Ruby title: On Domination Topological Indices of Graphs date: 2020-11-24 words: 5584 flesch: 90 summary: Let G = ⋃t i=1 Gi be the disjoint union of graphs G1, G2,...,Gt. For any vertex v ∈ V (H), it is not easy to see that H ∼= G◦Kn2 is domination regular graph. keywords: domination; graph cache: ijaa-2253.pdf plain text: ijaa-2253.txt item: #250 of 571 id: ijaa-226 author: Datta, Sanjib Kumar; Biswas, Tanmay; Deb, Soumen Kanti title: Growth Analysis of Functions Analytic in the Unit Polydisc date: 2014-02-08 words: 5042 flesch: 85 summary: that log[p] Tf◦g (r1,r2, ...,rn)(1) ≥ ( λ[p] f◦g (r1,r2, ...,rn) − � ) Now from (1) and (2) , it follows for all sufficiently large values of ( 1 1−r1 ) , ( 1 1−r2 ) , ... and ( 1 1−rn ) that log[p] Tf◦g (r1,r2, ...,rn) keywords: r1,r2 cache: ijaa-226.pdf plain text: ijaa-226.txt item: #251 of 571 id: ijaa-2270 author: Moustafa, Beddani; Benaouda, Hedia title: Boundary Value Problems for Fractional Differential Equation in Special Banach Space date: 2021-02-24 words: 4577 flesch: 86 summary: Let I ⊂ J be a compact interval and denote by C(I,E) the Banach space of continuous functions y : I → E with the usual norm ‖y‖∞ = sup{‖y(t)‖, t ∈ I}. = ( √ tyn(t) (1 + t 3 2 )e10t + 2t) (1 + t2)2 )∞ n=1 , t ∈ J = (0, +∞), (4.2) I 1 2 0+ y(t) keywords: γ(α cache: ijaa-2270.pdf plain text: ijaa-2270.txt item: #252 of 571 id: ijaa-2276 author: Akdemir, Hande Günay title: On a New Constraint Reduction Heuristic Using Improved Bisection Method for Mixed Integer Linear Programming date: 2020-12-04 words: 4280 flesch: 64 summary: In [15], the author proposed a class of surrogate constraint heuristics that provide a variety of supplementing new alternatives and independent solution strategies. mixed integer linear programming; surrogate relaxation; surrogate constraints; Lagrangian multi- pliers; improved bisection method; heuristics; reduction. keywords: constraint; heuristic; knapsack; multipliers; oper; problem; res cache: ijaa-2276.pdf plain text: ijaa-2276.txt item: #253 of 571 id: ijaa-2280 author: Alanzi, Ayed R.A. title: Prediction Intervals for the First and Last Point in Future Sample Having from a New Bathtub Shape Failure Rate Life Time Model in the Presence of Outliers date: 2021-01-07 words: 3753 flesch: 74 summary: It is possible to acquire Y1 density function with a single type λ + λ0 outlier presence in the case of Chen(λ, β) via changing of (1.1) for f and (1.2) for F in (5.1). Acquiring Bayesian prediction intervals for the first and final points of observation with the bathtub-shape distribution of the failure rate life-time type under the conditions of available outliers is the focus of the research. keywords: bayesian; function; prediction cache: ijaa-2280.pdf plain text: ijaa-2280.txt item: #254 of 571 id: ijaa-2284 author: Rahai, Amira; Guesmia, Amar title: Global Existence and Uniqueness of the Weak Solution in Thixotropic Model date: 2021-02-01 words: 3750 flesch: 86 summary: And as Ω ⊂ R2 or R3, by embedding of Sobolev spaces ( H2 ( Ω ) ↪→ C ( Ω ) ) Existence of weak solution of the problem (P) In this section, we are interested in the study of the existence and uniqueness of weak solution of the problem (P1), which its variational formulat is given by equation 1.1 using Galerkin’s method and use the theorem of Lax-Milgram to study the existence and uniqueness of weak solution of the problem (P2), which its variational formulat is given by equation 1.2 . keywords: solution cache: ijaa-2284.pdf plain text: ijaa-2284.txt item: #255 of 571 id: ijaa-2287 author: Alsamir, Habes title: Some Results of Rational Contraction Mapping via Extended CF-Simulation Function in Metric-Like Space with Application date: 2021-01-07 words: 4886 flesch: 90 summary: 19 (1) (2021) 143 for all α,ξ ∈ χ, where m(α,ξ) = max{σ(α,ξ) + ϕ(α) + ϕ(ξ),σ(α,pα) + ϕ(α) [0, 1] be equipped with the metric-like mapping σ(α,ξ) = α2 + ξ2 for all α,ξ ∈ χ. keywords: fixed; metric; point cache: ijaa-2287.pdf plain text: ijaa-2287.txt item: #256 of 571 id: ijaa-2296 author: Mishra, Vishnu Narayan; Devdhara, Ankita R.; Ansari, Khursheed J.; Karateke, Seda title: On a New Approach by Modified (p; q)-Szasz-Mirakyan Operators date: 2021-04-09 words: 4069 flesch: 84 summary: q < p ≤ 1. q < p ≤ 1. keywords: n]p; operators cache: ijaa-2296.pdf plain text: ijaa-2296.txt item: #257 of 571 id: ijaa-2303 author: Elmoasry, Ahmed title: On Rough Fuzzy Prime Ideals in Left Almost Semigroups date: 2021-04-28 words: 4776 flesch: 94 summary: In this paper we shall introduce the notion of rough prime ideals and rough fuzzy prime ideals in LA-semigroups. [29] Q. M. Xiao, Z. L. Zhang, Rough prime ideals and rough fuzzy prime ideals in semigroups, Inform. keywords: fuzzy; ideal cache: ijaa-2303.pdf plain text: ijaa-2303.txt item: #258 of 571 id: ijaa-2311 author: Al-Ahmadi, Bashair; Saleh, Anwar; Al-Shammakh, Wafa title: Downhill Zagreb Topological Indices of Graphs date: 2021-02-12 words: 7667 flesch: 90 summary: Also, the downhill topological indices for firefly graph, book graph Stacked book graph are established. If s = r. Then the graph has two vertices of downhill degree s + r + 1 and s + r vertices of downhill degree 0. keywords: degree; downhill; downhill degree; edges; graph; vertices cache: ijaa-2311.pdf plain text: ijaa-2311.txt item: #259 of 571 id: ijaa-2314 author: Lecheheb, Samira; Maouni, Messaoud; Lakhal, Hakim title: Image Restoration Using a Novel Model Combining the Perona-Malik Equation and the Heat Equation date: 2021-02-22 words: 3616 flesch: 83 summary: By linearity (can change w into −w and w̃ into −w̃), we have∫ Ω (ξ1 − b1(∇u))∇w dx = 0, ∀w ∈ H10 (Ω), and ∫ Ω (ξ2 − b2(∇v))∇w̃ dx = 0, ∀w̃ ∈ H10 (Ω). By using the compactness method and the monotonicity arguments, we prove the existence of solutions for the following system (1.1)   −div ( g1(|∇v|)∇u ) − 1 λ21 ∆u = f(x,u,v) in Ω, −div ( g2(|∇u|)∇v ) keywords: image cache: ijaa-2314.pdf plain text: ijaa-2314.txt item: #260 of 571 id: ijaa-2317 author: Kale, Mahesh; Minirani, S. title: Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy date: 2021-03-02 words: 3667 flesch: 87 summary: In Section 3, we introduce the important definitions of fuzzy Zagreb indices, fuzzy Zagreb matrices and corresponding energies. Fuzzy Zagreb Indices In this section, we introduce the definitions of fuzzy Zagreb first index, fuzzy Zagreb second index and fuzzy Zagreb hyper index along with associated fuzzy Zagreb matrices and the fuzzy Zagreb energies. keywords: fuzzy; fze; zagreb; |ξi| cache: ijaa-2317.pdf plain text: ijaa-2317.txt item: #261 of 571 id: ijaa-2318 author: Ekong, Nsisong; Moffat, Imoh; Usoro, Anthony; Matthew, Iseh title: A Comparative Study of the Impact of Dummy Variables on Regression Coefficients and Canonical Correlation Indices: An Empirical Perspective date: 2021-06-17 words: 4145 flesch: 56 summary: [4] T. Foucart, Paper on multiple linear regression on canonical correlation variable. In a more succint way, Foucart (1998) says that the results obtained by the selection of canonical variables are better than those given by calssical Int. keywords: analysis; canonical; correlation; exchange; oil; rates; regression; variables cache: ijaa-2318.pdf plain text: ijaa-2318.txt item: #262 of 571 id: ijaa-2328 author: Gordon, Joseph Frank title: Fixed Point Theorem for Monotone Non-Expansive Mappings date: 2021-03-17 words: 2754 flesch: 80 summary: monotone nonexpansive mappings; normalised duality mappings; uniformly convex spaces; uni- formly smooth spaces; fixed points. In metric spaces, the only non-trivial thing one can say about nonexpansive mappings is that the Picard iteration is a bounded sequence, which is as a result of the inequality d(Tnx,Tny) ≤ d(x,y),∀n ≥ 0, x,y ∈X , where T is a nonexpansive mapping. keywords: mapping cache: ijaa-2328.pdf plain text: ijaa-2328.txt item: #263 of 571 id: ijaa-2330 author: Abed Alhaleem, Nour; Ahmad, Abd Ghafur title: Intuitionistic Fuzzy Normal Subrings over Normed Rings date: 2021-03-30 words: 6557 flesch: 84 summary: An IFS A×B is an intuitionistic fuzzy normed normal subring of the ring NR1 ×NR2 if and only if the fuzzy subsets µA×B and γ c A×B are intuitionistic fuzzy normed normal subring of the ring NR1 ×NR2. Proof. Conversely, suppose that µA×B and γ c A×B are intuitionistic fuzzy normed normal subring of the ring NR1 × NR2. keywords: fuzzy; subring; µλc; γλc cache: ijaa-2330.pdf plain text: ijaa-2330.txt item: #264 of 571 id: ijaa-2331 author: Iqbal, Wasim; Noor, Muhammad Aslam; Noor, Khalida Inayat; Safdar, Farhat title: Generalized Petrovic's Inequalities for Coordinated Exponentially m-Convex Functions date: 2021-03-30 words: 6548 flesch: 80 summary: In this paper, we introduce a new class of convex function, which is called coordinated expo- nentially m-convex functions. For recent applications, generalizations and other aspects of convex functions, see [1–5, 11–23, 28, 33, 34] and the references therein. keywords: convex; exponentially; functions; l=1; pκuκ; κ=1 cache: ijaa-2331.pdf plain text: ijaa-2331.txt item: #265 of 571 id: ijaa-2346 author: Ivanov, Roman V. title: The Downside and Upside Beta Valuation in the Variance-Gamma Model date: 2021-03-30 words: 6947 flesch: 89 summary: E [(X − EX)2] − E [ (X − EX)2I{X≤u} ] = = EXjX − EXjEX − E [ (Xj − EXj)(X − EX)I{X≤u} ] EX2 − (EX)2 − E [ (X − EX)2I{X≤u} ] . = Γ ( a + 3 2 ) ba+1 √ 2π ( B ( 1 2 ,a + 1 ) √ 2 − s1 s3 √ b F ( a + 3 2 , 1 2 , 3 2 ;− s21 2bs23 )) keywords: 2bs; exp; gamma; l=1; s21; xl(rl+θlγl cache: ijaa-2346.pdf plain text: ijaa-2346.txt item: #266 of 571 id: ijaa-2348 author: Abasher, Abdelfatah; Gubara, Mohammed; Sheen, Suliman; Bashir, Ibrahim title: Numerical Study of Rayleigh-Benard Problem under the Effect of Magnetic Field date: 2021-04-28 words: 3637 flesch: 88 summary: Now returning to the boundary conditions (4.7), the p-derivative of Chebyshev polynomials at x = ±1 is given by the formula (4.29) dpTn dxp ∣∣∣∣ x=±1 = (±1)n+p p−1∏ k=0 n2 −k2 2k + 1 , For Free-Free boundaries, We have eight boundary conditions as W = 0, D2W W = 0, D2W keywords: −a2 cache: ijaa-2348.pdf plain text: ijaa-2348.txt item: #267 of 571 id: ijaa-2355 author: Mohamad, Daud; Abdul Wahid, Nur Hazwani Aqilah title: Bounds on Toeplitz Determinant for Starlike Functions with Respect to Conjugate Points date: 2021-05-04 words: 9306 flesch: 83 summary:                                          The result is sharp for the function given by     1 1 sin .                                Int. keywords: k k;  ;  ;  ;  ;  ;   cache: ijaa-2355.pdf plain text: ijaa-2355.txt item: #268 of 571 id: ijaa-2356 author: Ahmad, Bashir; Alsaedi, Ahmed; Al-Johany, Hanan; Ntouyas, Sotiris K. title: Existence and Location of a Unique Solution of Caputo-Liouville Type Langevin Equation with Finitely Many Nonlinearities and Nonlocal Boundary Conditions date: 2021-04-28 words: 4523 flesch: 83 summary: However, the failure of classical Langevin equation to describe the complex systems led to its several generalizations, which successfully modeled the physical phenomena in disordered regions [7], anomalous diffusion processes in complex and viscoelastic environment [8, 9], etc. Among these generalizations includes the one obtained by replacing the ordinary derivative by fractional order derivative in it; the resulting form is known as fractional Langevin equation and can take care of the fractal and memory properties of the phenomena under investigation. [16] O. Baghani, On fractional Langevin equation involving two fractional orders, Commun. keywords: i=1; γ(β cache: ijaa-2356.pdf plain text: ijaa-2356.txt item: #269 of 571 id: ijaa-2359 author: Ait-Akli, Djamel; Merakeb, Abdelkader title: Trace Result for Sobolev Extension Domains date: 2021-05-11 words: 2991 flesch: 77 summary: independent on u such that for all u ∈ W 1,p(Ω) we have (3.1) ||Tu||p,∂Ω ≤ ct||u||W1,p(Ω) , where we denote || ||p,∂Ω the usual norm of the Lebesgue space of p−integrable functions. 3.1. According to Theorem 2.1, for any u ∈ W 1,p(Ω) there exists (ul)n∈N, ul ∈ C∞(Ω), such that ||ul −u||W1,p(Ω) → 0. keywords: domain; dr0 cache: ijaa-2359.pdf plain text: ijaa-2359.txt item: #270 of 571 id: ijaa-2362 author: Gordon, Joseph Frank; Gyasi, Esther Opoku title: On Firmly Non-Expansive Mappings date: 2021-05-11 words: 1699 flesch: 89 summary: non-expansive mappings; firmly non-expansive mappings; metric projection; fixed points. + (1 −α)(Trx−Try)‖ + α αr + (1 −α)(r − 1) ‖Trx−Try‖, = r − 1 αr + keywords: mapping cache: ijaa-2362.pdf plain text: ijaa-2362.txt item: #271 of 571 id: ijaa-2363 author: Khan, Muhammad Bilal; Noor, Muhammad Aslam; Noor, Khalida Inayat; Almusawa, Hassan; Nisar, Kottakkaran Sooppy title: Exponentially Preinvex Fuzzy Mappings and Fuzzy Exponentially Mixed Variational-Like Inequalities date: 2021-05-11 words: 7510 flesch: 76 summary: Let 𝓊 ∈ 𝐾𝜕 be a minimum of 𝒯. Then 𝒯(𝓊) ⪯ 𝒯(𝜗), ∀ 𝜗 ∈ 𝐾𝜕, From which, we have 𝑒𝒯(𝓊) ⪯ 𝑒𝒯(𝜗), ∀ ⪯ max(𝑒𝒯(𝓊),𝑒𝒯(𝜗)),∀ 𝜗 ∈ 𝐾𝜕,𝜏 ∈ [0,1]. keywords: fm 𝒯:𝐾𝜕; preinvex; ∈ ℝ; ∈ 𝐾𝜕; 𝐸(𝒯; 𝐾𝜕 w.r.t; 𝒯:𝐾𝜕; 𝔽(ℝ cache: ijaa-2363.pdf plain text: ijaa-2363.txt item: #272 of 571 id: ijaa-2364 author: Elsanousi, Ismail Hamed title: Pricing Options in a Delayed Market Driven by Le'vy Noise date: 2021-05-11 words: 2563 flesch: 83 summary: In (3.1) r ∈ R,σ := (σ0,σ1(.) t ∈ keywords: equation; option; stochastic cache: ijaa-2364.pdf plain text: ijaa-2364.txt item: #273 of 571 id: ijaa-2368 author: Parmar, Khinal; Gorty, V. R. Lakshmi title: Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform date: 2021-05-25 words: 4364 flesch: 86 summary: Inversion formula: Consider the inverse formula of quaternion Fourier transform as defined in [9] f(u,v) = 1 (2π) 2 ∞∫ −∞ ∞∫ −∞ eixuf̂(x,y)ejyvdxdy. [8] X. Guanlei, W. Xiaotong, X. Xiaogang, Fractional quaternion Fourier transform, convolution and correlation, Signal Processing. keywords: e−iw; f(u; −∞ ∞∫; ∞∫ −∞ cache: ijaa-2368.pdf plain text: ijaa-2368.txt item: #274 of 571 id: ijaa-2371 author: Abdulrahman, Alanazi Talal title: Methods for designing experiments to study the actual causes of the housing crisis date: 2021-05-25 words: 4104 flesch: 69 summary: 2. Method Target population and study sample The main technique used in this survey is that it is based on only statistics and statistical analysis that included 16 questions about housing crisis. On the off chance that the elements that we get from the edge plan technique are equivalent to supersaturated designs , these elements are the genuine reasons for housing crisis. keywords: analysis; example; figure; housing; table cache: ijaa-2371.pdf plain text: ijaa-2371.txt item: #275 of 571 id: ijaa-2374 author: Slimani, Ali; Rahai, Amira; Guesmia, Amar; Bouzettouta, Lamine title: Stochastic Chemotaxis Model with Fractional Derivative Driven by Multiplicative Noise date: 2021-10-28 words: 8097 flesch: 91 summary: C ‖ v ‖, ‖ g(u) −g(v) ‖L20≤ C ‖ v ‖, ‖ f(u) −f(v) ‖L20≤ keywords: = ∞∫; e[‖; ḣν cache: ijaa-2374.pdf plain text: ijaa-2374.txt item: #276 of 571 id: ijaa-2376 author: Mahrous, Yussri M. title: A Possible Generalized Model of the Chlorine Concentration Decay in Pipes: Exact Solution date: 2021-06-24 words: 3819 flesch: 80 summary: Physically, u(x,r) is bounded at r = 0, hence ρ2 must be vanishes and therefore, (9) U(s,r) = ρ1J0 ( i √ sα + A1 A0 r ) (6), we have (7) d2U(s,r) dr2 + 1 r dU(s,r) dr − ( sα + A1 A0 ) keywords: sα+a1; sα+a1 a0 cache: ijaa-2376.pdf plain text: ijaa-2376.txt item: #277 of 571 id: ijaa-2377 author: Matallah, Hana; Maouni, Messouad; Lakhal, Hakim title: Image Restoration by a Fractional Reaction-Diffusion Process date: 2021-08-01 words: 4857 flesch: 80 summary: ×R −→ R mesurable for (t,x) and continous for u. (H2)- ∀(t,x) ∈ QT , f(t,x, 0) is a positive function. ∈ QT , uf(t,x,u) is negative. keywords: image; model cache: ijaa-2377.pdf plain text: ijaa-2377.txt item: #278 of 571 id: ijaa-2378 author: Alsaidi, Ramadhan A. M. title: New Numerical Solution for Two Parametric Surfaces Intersection Dragging Problem date: 2021-08-26 words: 3565 flesch: 65 summary: The paper aims to solve the dragging problem of intersection parametric surfaces including biquadratic B´ezier form surface intersection by optimizing Alsaidi’s work [15] through minimizing the required memory and rendering the computations as simple as possible. Broyden’s method; continuation method; curve tracing; initial point; parametric surface; surface intersection. keywords: intersection; method; parametric; point; surfaces; system cache: ijaa-2378.pdf plain text: ijaa-2378.txt item: #279 of 571 id: ijaa-2385 author: Kolluru, Durga Sowjanya; Reddy, P. Bhaskara title: Analysis of Parameters Used for Measuring Performance of Mobile Applications date: 2021-06-24 words: 4618 flesch: 55 summary: Hierarchy viewer and lint are used to optimize application layout performance. It presents study on in-depth parameters for mobile application performance as per quantitative analysis. keywords: android; application; development; ieee; int; layout; memory; mobile; performance; time; usage; view cache: ijaa-2385.pdf plain text: ijaa-2385.txt item: #280 of 571 id: ijaa-2386 author: Oghonyon, J. G.; Ogunniyi, P. O.; Ogbu, I. F. title: A Computational Strategy of Variable Step, Variable Order for Solving Stiff Systems of Ordinary Differential Equations date: 2021-11-16 words: 5360 flesch: 69 summary: B. Convergence Convergence for variable step size Adams method was first considered by [26]. Implicit techniques, then again, are release of stability limitations and are thus favourable for computing stiff systems differential equations [27]. keywords: anal; csvsvo; equations; info; method; order; step; systems; variable cache: ijaa-2386.pdf plain text: ijaa-2386.txt item: #281 of 571 id: ijaa-2392 author: Gautam, Pragati; Verma, Swapnil; De La Sen, Manuel; Marwaha, Prachi Rakesh title: On ω-Interpolative Berinde Weak Contraction in Quasi-Partial b-Metric Space date: 2021-07-08 words: 4414 flesch: 85 summary: [7] E. Karapınar, I.M. Erhan, A. Öztürk, Fixed point theorems on quasi-partial metric spaces, Math. quasi-partial b-metric space; ω-admissibility; interpolation; Berinde weak contractions; fixed point. keywords: metric cache: ijaa-2392.pdf plain text: ijaa-2392.txt item: #282 of 571 id: ijaa-2396 author: Eldeeb, Ahmed Sedky; Ahsan-Ul-Haq, Muhammad; Babar, Ayesha title: A Discrete Analog of Inverted Topp-Leone Distribution: Properties, Estimation and Applications date: 2021-08-01 words: 3570 flesch: 70 summary: [ (3 + 2𝑥)𝛿 (3 + 𝑥)2𝛿 (2 + 𝑥)2𝛿 (5 + 2𝑥)𝛿 ] (8) The recurrence relation for generating the probabilities of discrete DITL distribution is given by Int. The probability mass function (pmf) of DITL distribution can be represented as 𝑃(𝑥) = (1 + 2𝑥)𝛿 (1 + 𝑥)2𝛿 − (3 + 2𝑥)𝛿 (2 + 𝑥)2𝛿 , 𝛿 > 0, 𝑥 = 0,1,2, … (3) Int. keywords: distribution; ditl; estimation; parameter cache: ijaa-2396.pdf plain text: ijaa-2396.txt item: #283 of 571 id: ijaa-2397 author: Kibeche, Khoudir; Bouzettouta, Lamine; Djebabla, Abdelhak; Hebhoub, Fahima title: Stability Result for a Weakly Nonlinearly Damped Porous System with Distributed Delay date: 2021-10-28 words: 5173 flesch: 89 summary: In this case, using (H2) and Eq.(3.1), we deduce that α (t)L′ (t) ≤−k1α (t) E (t) + cα (t) ∫ 1 0 ( φ2t Introduction In this paper, we consider the following porous system:  ρutt −µuxx − bφx + µ1ut + ∫ τ2 τ1 µ2(s)ut (x,t−s) ds = 0, x ∈ (0, 1), t > 0, jφtt − δφxx + bux keywords: ∫ τ2 cache: ijaa-2397.pdf plain text: ijaa-2397.txt item: #284 of 571 id: ijaa-2410 author: Jafari, Shahnaz; Shams, Maryam; Ibeas, Asier title: Fixed Point Theorems for Contractive Mappings in Probabilistic Modular Spaces date: 2021-08-12 words: 4351 flesch: 85 summary: A mapping T from (X,µ) to (Y,ν) is said to be sequentially PM-continuous (probabilistic modular continuous) at x ∈ X if T(xn) ν−→ T(x) for every sequence {xn} of points in X that converges to x ∈ X, xn µ−→ x. iff x = 0, (iii) µ−x(t) = µx(t), for all x ∈ X, (iv) µαx+βy(s + t) ≥ µx(s) ∧µy(t) for all x,y ∈ X, and α,β,s,t ∈ R+0 , α + β keywords: fixed; point; space; ϕ-contractive cache: ijaa-2410.pdf plain text: ijaa-2410.txt item: #285 of 571 id: ijaa-2411 author: Khidir, Ahmed A.; Alsharari, Salihah L. title: Application of Successive Linearisation Method on the Boundary Layer Flow Problem of Heat and Mass Transfer with Radiation Effect date: 2021-08-12 words: 6001 flesch: 74 summary: = 0 φ = 0 as η →∞ (2.11) where M = σB20 ρB is the magnetic parameter, Pr = v α is the Prandtl number, Sc = v Dm is the Schmidt number, Gr = gβT (Tw −T∞) xB2 is the local temperature Grashof number, Gc = gβc(Cw −C∞) xB2 is the local concentration Grashof number, Du = DmkT (Cw−C∞) cscp(Tw−T∞) is the Dufour number, Sr = DmkT (Tw−T∞) The boundary conditions for equations (2.1)–(2.4) are expressed as v = V,u = Bx,T = keywords: boundary; heat; i−1∑; i−1∑ m=0; linear; m=0; method cache: ijaa-2411.pdf plain text: ijaa-2411.txt item: #286 of 571 id: ijaa-2412 author: Bloach, Misbah Iram; Noor, Muhammad Aslam; Noor, Khalida Inayat title: Iterative Schemes for Triequilibrium-Like Problems date: 2021-08-12 words: 5656 flesch: 82 summary: For }(ζ,ξ) = ζ − ξ, the invex set reduces to the convex set and the problem (2.1) reduces to: Ψ(ξ, Υ(ξ),ζ − ξ) − ζ,ξ − ζ) ≥ 0 , ∀ξ,ζ ∈ H̃, which shows that the bifunction Φ(., .) is nonnegative. keywords: solution; ξn+1 cache: ijaa-2412.pdf plain text: ijaa-2412.txt item: #287 of 571 id: ijaa-2413 author: Singh, Thangjam Bimol; Sharma, G. A. Hirankumar; Singh, Y. Mahendra; Singh, M. Ranjit title: Common Fixed Point Theorems for Six Self-Mappings on S- Metric Spaces date: 2021-09-20 words: 7476 flesch: 90 summary: Three pairs (A,P), (B,Q) and (C,R) of self-mappings of an S− metric space (X,S) are said to satisfy the common property −(E.A) if there exist three sequences {xn}, {yn} and {zn} in X such that lim n→∞ Axn = lim n→∞ Pxn = lim n→∞ Byn = lim n→∞ Qyn = lim n→∞ Czn = lim n→∞ Rzn = t, for some t ∈ X. It can be observed that the fixed point results usually require closeness of the underlying subspaces for the existence of common fixed points under the property −(E.A) and common property −(E.A). [22] R.P. Pant, R− weakly commutativity and common fixed points, Soochow J. Math. 25 (1999), 37–42. keywords: lim; n→∞ cache: ijaa-2413.pdf plain text: ijaa-2413.txt item: #288 of 571 id: ijaa-2418 author: Shah, Shujaat Ali; Soomro, Muhammad Afzal; Maitlo, Asghar Ali title: On Mocanu-Type Functions with Generalized Bounded Variations date: 2021-09-14 words: 3057 flesch: 95 summary: + 1 k2−1,k > 1, (1.3) where u(z) = z− √ t z− √ tz , t ∈ (0, 1), z ∈ U and z is chosen such that k = cosh ( πR′(t) 4R(t) ) , R(t) is Legendre’s complete elliptic integral of the first kind and R′(t) is complementary integral of R(t). Introduction Let A be the class of analytic functions of the form f(z) = z + ∞∑ n=2 anz n, (1.1) in the open unit disk U = {z : |z| < 1}. keywords: ϕ,h; ϕ∗f)′ cache: ijaa-2418.pdf plain text: ijaa-2418.txt item: #289 of 571 id: ijaa-2433 author: Mallaiah, K.; Srinivas, V. title: Common Fixed Point of Four Maps in Sm-Metric Space date: 2021-11-05 words: 4517 flesch: 89 summary: 19 (6) (2021) 923 this gives Sm(η,η,Hv) ≤ { Sm(Hv,Hv,η) }λ which gives Hv = η. Using the inequality (3.1.2) take α = ρ and β = η we have Sm(Gρ,Gρ,Hη) ≤ { max[Sm(Gρ,Gρ,Iη)Sm(Hη,Hη,Jη),Sm(Gρ,Gρ,Jη)Sm(Iρ,Iρ,Hη), Sm(Gρ,Gρ,Jη)Sm(Hη,Hη,Jη),Sm(Gρ,Gρ,Iρ)Sm(Hη,Hη,Iρ)] keywords: metric; space cache: ijaa-2433.pdf plain text: ijaa-2433.txt item: #290 of 571 id: ijaa-2434 author: Chafia, Laouar; Abdelhamid, Ayadi; Abdelhak, Hafdallah title: Optimal Control of a Partially Known Coupled System of BOD and DO date: 2021-11-25 words: 4551 flesch: 80 summary: Adding (4.14) to (4.15) amounts to (4.16) 1 γ ∫ Ω [ ζ̂γ(x, 0)ζ(ω − ω̂γ)(x, 0) + ξ̂γ(x, 0)ξ(ω − ω̂γ)(x, 0) ] dx = ∫∫ Q [ρ̂γy(ω − ω̂γ) Reverse time variable by taking ζ̃γn(x,t) = ζ γ n(x,T − t), ξ̃γn(x,t) = ξγn(x,T − t), ỹγn(x,t) = yγn(x,T − t) and z̃γn(x,t) = zγn(x,T − t). keywords: control; oxygen; regret cache: ijaa-2434.pdf plain text: ijaa-2434.txt item: #291 of 571 id: ijaa-2440 author: Kallel, Imen title: Topological Sensitivity Analysis for the Anisotropic Laplace Problem date: 2021-11-16 words: 5692 flesch: 72 summary: n,ϕ0 −hε >−1/2,1/2,∂H, Note that, by the theorem of the normal trace, we obtain∫ Ω\Hz,ε |∇r1ε|2dx ≤ ||∇r1ε||−1/2,∂Hz,ε||(ϕ0 −hε)||1/2,∂Hz,ε ≤ ||r1ε||1,Ω\Hz,ε||ϕ0 −hε||1/2,∂Hz,ε ≤ −c log ε ||r1ε||1,Ω\Hz,ε The Poincare inequality gives us ||r1ε||1,Ω\Hz,ε ≤ c ∫ Ω\Hz,ε |∇r1ε| 2dx ||r2ε||1,Ω\Hz,ε ≤ c { ||∇hε.n||−1/2,Γn + ||hε||1/2,Γd + ||∆hε||0,Ω\Hz,ε } ≤ ||hε||1,Ω\Hz,ε Then, ||r2ε||1,Ω\Hz,ε ≤ c √ − log ε Since ||rε||1,Ω\Hz,ε ≤ ||r 1 ε||1,Ω\Hz,ε + ||r 2 ε||1,Ω\Hz,ε The obtained results are based on a preliminary estimate describing the perturbation caused by the presence of a small geometry modification of the background domain Ω. A simplified formulation of the shape function variation with respect to the creation of the hole Hz,ε in Ω is derived in Section 4. keywords: appl; function; log(ε; problem; ω\hz; ∂hz cache: ijaa-2440.pdf plain text: ijaa-2440.txt item: #292 of 571 id: ijaa-2442 author: Srinivas, V.; Thirupathi, T. title: An Affirmative Result on Banach Space date: 2022-01-03 words: 2670 flesch: 91 summary: φ3(‖Ju − Iv‖r‖Hv −Gu‖r ′ ), φ4( 1 2 ‖Ju −Gu‖s‖Hv − Iv‖s ′ ),φ5( 1 2 ‖Ju − Iv‖l‖Hv [aφ0(‖v2j−1 −v2j‖2p)+(1−a)max{φ1(‖v2j−1 −v2j‖2p), φ2(‖v2j−1 −v2j‖q‖v2j −v2j+1‖q ′ ),φ3(‖v2j−1 −v2j+1‖r‖v2j −v2j‖r ′ ), φ4( 1 2 ‖v2j−1 −v2j‖s‖v2j −v2j‖s ′ ),φ5( 1 2 ‖v2j−1 − Iv2j+1‖l‖v2j −v2j+1‖l ′ )}]. keywords: point cache: ijaa-2442.pdf plain text: ijaa-2442.txt item: #293 of 571 id: ijaa-2443 author: Bloach, Misbah Iram; Noor, Muhammad Aslam; Noor, Khalida Inayat title: Well-Posedness of Triequilibrium-Like Problems date: 2022-01-03 words: 3393 flesch: 72 summary: Introduction The theory of equilibrium problems is an engrossing and significant offshoot of variational inequali- ties in practice with a broad variety of industrial, physical, geographical and social applications. [23] rendered equilibrium problems their existing form. keywords: noor; problem; variational cache: ijaa-2443.pdf plain text: ijaa-2443.txt item: #294 of 571 id: ijaa-245 author: Kadelburg, Zoran; Radenovic, Stojan title: Fixed Points under ψ-α-β Conditions in Ordered Partial Metric Spaces date: 2014-02-08 words: 4960 flesch: 85 summary: [17] R.H. Haghi, Sh. Rezapour, N. Shahzad, Be careful on partial metric fixed point results, Topology Appl. d(x,y) −ϕ(d(x,y)), ∀x,y ∈ X, where ϕ : keywords: metric; p(x cache: ijaa-245.pdf plain text: ijaa-245.txt item: #295 of 571 id: ijaa-2466 author: Nhari, Fakhr-dine; Echarghaoui, Rachid; Rossafi, Mohamed title: K-g-Fusion Frames in Hilbert C∗-Modules date: 2021-10-28 words: 6710 flesch: 83 summary: A ≤ B < ∞ such that (2.2) A〈K∗f,K∗f〉≤ ∑ j∈J v2j〈ΛjPWjf, ΛjPWjf〉≤ B〈f,f〉, ∀f ∈H. The constants A and B are called a lower and upper bounds of K − g−fusion frame, respectively. In this section, we present a perturbation of K − g−fusion frames. keywords: frame; g−fusion; j∈j; let cache: ijaa-2466.pdf plain text: ijaa-2466.txt item: #296 of 571 id: ijaa-2477 author: Nonti, Marcellin; Adjai, Kolawole Kegnide Damien; Akande, Jean; Monsia, Marc Delphin title: On Truly Nonlinear Oscillator Equations of Ermakov-Pinney Type date: 2021-11-19 words: 4355 flesch: 73 summary: Introduction In the research field of periodic solution to Lienard nonlinear differential equations of the form (1.1) ẍ As nonlinear differential equations, they have no exact explicit solutions in general. keywords: equation; periodic; solutions cache: ijaa-2477.pdf plain text: ijaa-2477.txt item: #297 of 571 id: ijaa-2478 author: Selmi, Ridha; Alhazmi, Muflih; Sboui, Abir; Louati, Hanen; Touati, Amel; Hattab, Hechmi title: Differential Equations Models and Their Applications in Metallurgy date: 2022-01-26 words: 4524 flesch: 72 summary: Our model is based on time delay differential equations. Mathematically speaking, this is based on delay differential equations (DDEs), where the derivative of the unknown molten slag temperature T at a time t is expressed by the values of the temperature at previous times that is dT dt (t) = f (t,T (t −τ)), (1.2) where T (t−τ) is the delay term that takes in account the memory effects of the system, and τ is the delay time. keywords: delay; heat; model; slag; time cache: ijaa-2478.pdf plain text: ijaa-2478.txt item: #298 of 571 id: ijaa-2487 author: Rahby, A. S.; Abdou, M. A.; Mosa, G. A. title: On the Solutions of the Second Kind Nonlinear Volterra-Fredholm Integral Equations via Homotopy Analysis Method date: 2022-07-20 words: 4203 flesch: 78 summary: [7] A.M. Wazwaz, Linear and Nonlinear Integral Equations: Methods and Applications, Springer Berlin, Heidelberg, 2011. [14] S.A. Yousefi, A. Lotfi, M. Dehghan, He’s Variational Iteration Method for Solving Nonlinear Mixed Volterra- Fredholm Integral Equations, Computers Math. keywords: appl; fies; method; nonlinear; solution cache: ijaa-2487.pdf plain text: ijaa-2487.txt item: #299 of 571 id: ijaa-2490 author: Ebaid, Abdelhalim; Al-Jeaid, Hind K. title: Solutions of Linear and Nonlinear Fractional Fredholm Integro-Differential Equations date: 2022-01-26 words: 3738 flesch: 80 summary: [16] H. Jafari, V. Daftardar-Gejji, Solving a system of nonlinear fractional differential equations using Adomian decom- position, J. Comput. [21] S. Bushnaq, B. Maayah, S. Momani, A. Alsaedi, A reproducing kernel Hilbert space method for solving systems of fractional integrodifferential equations, Abstr. keywords: fractional; u(x; γ(α cache: ijaa-2490.pdf plain text: ijaa-2490.txt item: #300 of 571 id: ijaa-2494 author: Satyanna, K.; Srinivas, V. title: Some Results of Conditionally Sequential Absorbing and Pseudo Reciprocally Continuous Mappings in Probabilistic 2-Metric Space date: 2022-02-16 words: 4886 flesch: 84 summary: [7] is a pair (X,F) with F : X×X×X→ L here L stands as the set of all distribution functions and the F value at (e,f ,g)∈ X×X×X is written as Fe,f,g and obeys the following properties: (a) Fe,f,g(0)=0 (b) ∃g ∈ X such that Fe,f,g(t�) < 1,∀e,f ∈ X,e 6= f ,for some t� > 0 (c) Fe,f,g(t�)=1 ∀t� > 0 [7] A sequence (pn) in 2-Menger space (X,F,t�) (i) converges to β if for each � > 0,t� > 0,∃N(�)∈ N =⇒ Fpn,β,a(�) > 1− t�, ∀a ∈ X and n ≥ N(�); (ii) Cauchy if for each � > 0,t� > 0,∃N(�)∈ N =⇒ Fpn,pm,a(�) > 1− t�, ∀a ∈ X and n,m ≥ N(�); (iii) if each cauchy sequence converges in X then it is mentioned as complete 2-Menger space. keywords: lim; mappings; n→∞; γ(t cache: ijaa-2494.pdf plain text: ijaa-2494.txt item: #301 of 571 id: ijaa-2496 author: Akande, Jean; Adjaï, Kolawolé Kêgnidé Damien; Yehossou, Ayéna Vignon Régis; Monsia, Marc Delphin title: Exact and Sinusoidal Periodic Solutions of Lienard Equation Without Restoring Force date: 2022-01-18 words: 1997 flesch: 60 summary: [14] J. Akande, A.V.R. Yehossou, K.K.D. Adjaï, M.D. Monsia, On identical harmonic and isochronous periodic oscilla- tions of Lienard type equations. In this regard, the objective in the present paper is to show explicitly the existence of sinusoidal and isochronous periodic solutions of equation (1.5) under appropriate choice of function ϑ(x). keywords: equation; solutions; type cache: ijaa-2496.pdf plain text: ijaa-2496.txt item: #302 of 571 id: ijaa-2497 author: Saleh, Anwar; Bazhear, Sara; Muthana, Najat title: On the Uphill Zagreb Indices of Graphs date: 2022-01-26 words: 5980 flesch: 93 summary: In Figure 1, we can see the graph G has 2r vertices are labeled by (v1,1,v2,1, ...,vr,1) and (v1,t,v2,t, ...,vr,t) of uphill degree 2t − 3, r(t − 2) vertices are labeled by (v1,2,v1,3, ...,v1,t−1), (v2,2,v2,3, ...,v2,t−1), ..., (vr,2,vr,3, ...,vr,t−1) of uphill degree 2t−5, two vertices are labeled by (v0,1) and (v0,t) of uphill degree t−2, t−2 vertices are labeled by (v0,2,v0,3, ...,v0,t−1) of uphill degree t − 3. The vertex with uphill degree equal to zero is called uphill isolated vertex. keywords: degree; graph; uphill; vertices cache: ijaa-2497.pdf plain text: ijaa-2497.txt item: #303 of 571 id: ijaa-2498 author: Rossafi, Mohamed; Nhari, Fakhr-dine title: Controlled K−g−Fusion Frames in Hilbert C∗−Modules date: 2022-01-03 words: 6831 flesch: 84 summary: Then for all f ∈ H, A ′ 〈f , f 〉≤ ∑ j∈J v2j 〈ΛjPWjCf, ΛjPWjCf 〉≤ B ′ 〈f , f 〉 We have for each f ∈ H, ∑ j∈J v2j 〈ΛjPWjf , ΛjPWjf 〉 = ∑ j∈J v2j 〈ΛjPWjCC −1f , ΛjPWjCC −1f 〉 ≤ B ′ 〈C−1f ,C−1f 〉 ≤ B ′ ||C−1||2〈f , f 〉. Then for any f ∈ H, we have 〈ΛjPWjCf, ΛjPWjC ′ f 〉 = 〈 2 √ j 〈f ,ej〉 j∑ k=1 ek, 1 2 √ j 〈f ,ej〉 j∑ k=1 ek〉 = 1 j 〈f ,ej〉〈ej, f 〉〈 j∑ k=1 ek, j∑ k=1 ek〉 = 1 j 〈f ,ej〉〈ej, f 〉 j∑ k=1 ||ek||2 = 1 j 〈f ,ej〉〈ej, f 〉j = 〈f ,ej〉〈ej, f 〉. keywords: frame; j∈j; v2j cache: ijaa-2498.pdf plain text: ijaa-2498.txt item: #304 of 571 id: ijaa-25 author: Saluja, G. S. title: Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically Quasi-Nonexpansive Type Mappings date: 2013-07-16 words: 7481 flesch: 84 summary: [13] established a necessary and sufficient condition for a Mann [12] iterative sequence to converge strongly to a fixed point of quasi-nonexpansive mapping. The Mann and Ishikawa iteration processes have been used by a number of authors to approximate the fixed points of nonexpansive, asymptotically nonex- pansive mappings, and quasi-nonexpansive mappings on Banach spaces (see, e.g., [5, 7, 9, 10, 11, 13, 18, 23]). keywords: −p‖ cache: ijaa-25.pdf plain text: ijaa-25.txt item: #305 of 571 id: ijaa-2503 author: Latioui, Naaima; Guesmia, Amar; Ouaoua, Amar title: Well-Posedness and Stability for a System of Klein-Gordon Equations date: 2022-02-07 words: 4179 flesch: 91 summary: Now we have d dt L(t) = d dt E(t) + � ∫ Ω [ u2t + uttu + v 2 t + vttv ] dx (5.3) � ∫ Ω uttudx = � ∫ Ω [ u.∆u + αuut −u.k ∗ ∆u + u.div(|v|2∇u) −u|∇v|2.u ] dx ≤ � [ −|∇u|22 + α 1 2δ |ut|22 + αδ|u| 2 2 −|v∇u| 2 2 −|u∇v| 2 2 + ∫ Ω ∇u ∫ t 0 k(t − s)∇u(s)dsdx ] (5.4) ≤ � [ −|∇u|22 + α 1 2δ |ut|22 + αC1δ|∇u| 2 2 −|v∇u| 2 2 −|u∇v| 2 2 + ∫ Ω ∇u ∫ t 0 k(t − s)∇u(s)dsdx ] . (2022), 20:10 and Initial conditions u(x, 0) = u0(x), v(x, 0) = v0(x) on Ω, (1.4) ut(x, 0) = u1(x), vt(x, 0) = v1(x) on Ω. (1.5) Where Ω is a bounded domain of Rn (n ≥ 1) with smooth boundary Γ and let T > 0, α and β are non-positive constants, and (n∗w)(t) = ∫ t 0 keywords: l2(ω cache: ijaa-2503.pdf plain text: ijaa-2503.txt item: #306 of 571 id: ijaa-2508 author: Rassias, John Michale; Karthikeyan, S.; Ganapathy, G.; Suresh, M.; Kumar, T.R.K. title: Generalized Ulam-Hyers Stability Results of a Quadratic Functional Equation in Felbin’s Type Fuzzy Normed Linear Spaces date: 2022-03-08 words: 5387 flesch: 84 summary: Then, (i) The mapping T has one and only fixed point x∗ = T (x∗); (ii)The fixed point for each given element x∗ is globally attractive, that is (A2) limn→∞Tnx = x∗, for any starting point x ∈ X; (iii) One has the following estimation inequalities: (A3) d(Tnx,x∗) [||x||−α, ||x||+α ] for x ∈ X and α ∈ (0, 1]: (A1) ||x|| = 0 if and only if x = 0, (A2) ||rx|| = |r|� ||x|| for all x ∈ X and r ∈ (−∞,∞), (A3) For all x,y ∈ X, (A3L) if s keywords: fuzzy cache: ijaa-2508.pdf plain text: ijaa-2508.txt item: #307 of 571 id: ijaa-2524 author: Aramaki, Junichi title: An Extension of a Variational Inequality in the Simader Theorem to a Variable Exponent Sobolev Space and Applications: The Dirichlet Case date: 2022-02-16 words: 13801 flesch: 95 summary: Let x0 ∈ G and BR(x0) b G, and let p ∈ P log + (R d). Since D(G) is dense in W 1,q ′(·) 0 (G) with respect to ‖∇∇∇·‖Lq′(·)(G)-norm and q(x) ≤ p(x) for all x ∈ G, so u −up ∈ W 1,q(·) 0 keywords: 1,p; anal; constant; domain; lemma; p ∈; proof; space; theorem; u ∈; ∈ w cache: ijaa-2524.pdf plain text: ijaa-2524.txt item: #308 of 571 id: ijaa-2532 author: Saad, M. Khalifa; Abdel-Aziz, H. S.; Ali, Haytham A. title: On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space date: 2022-03-18 words: 5179 flesch: 85 summary: The trajectories of magnetic flow are called magnetic curves. Moreover, the study of magnetic curves was extended to other ambient spaces, such as complex space forms [5,6], Sasakian 3-manifold [7,8]. keywords: curve; magnetic cache: ijaa-2532.pdf plain text: ijaa-2532.txt item: #309 of 571 id: ijaa-2537 author: Echarghaoui, Rachid; Ghiati, M'hamed; Mouniane, Mohammed; Rossafi, Mohamed title: Some Properties of Controlled K-g-Frames in Hilbert C∗-Modules date: 2022-02-28 words: 5234 flesch: 85 summary: We can write ( ∑ i∈J 〈(C∗Λ̃∗ i Λ̃iC ′) 1 2 f , (C∗Λ∗i ΛiC ′) 1 2 Kf 〉−‖SJ f‖2 = 〈K∗SJ f , f 〉−‖SJ f‖2 = 〈K∗SJ f , f 〉−〈S∗JSJ f , f 〉 = 〈(K −SJ )∗SJ f , f 〉 = 〈S∗J c (K −SJ ), f 〉 = 〈S∗J cKf,f 〉−〈S ∗ J cSJ cf , f 〉 = 〈Kf,SJ cf 〉−〈SJ cf ,SJ cf 〉 = 〈SJ cf ,Kf 〉−‖SJ cf‖2 = ( ∑ i∈J c 〈(C∗Λ̃∗ i Λ̃iC ′) 1 2 f , (C∗Λ∗ i ΛiC ′) 1 2 Kf 〉 −‖SJ cf‖2. Let TCC′ be a well-defined and bounded operator with ‖TCC′‖≤ √ BCC′. For each f ∈ H, we have∑ i∈I 〈ΛiC′f , ΛiCf 〉A = ∑ i∈I 〈C∗Λ∗i ΛiC ′f , f 〉A = 〈 ∑ i∈I C∗Λ∗i ΛiC ′f , f 〉A = 〈TCC′((C∗Λ∗i ΛiC ′) 1 2 f ))i∈I, f 〉A. Hence, ‖〈TCC′((C∗Λ∗i ΛiC ′) 1 2 f ))i∈I, f 〉A‖≤‖TCC′((C∗Λ∗i ΛiC ′) 1 2 f )) keywords: c∗λ∗i; frame; hilbert; i∈i; λic cache: ijaa-2537.pdf plain text: ijaa-2537.txt item: #310 of 571 id: ijaa-254 author: Ali, Ilyas; Yang, Hu; Shakoor, Abdul title: Generalized Norms Inequalities for Absolute Value Operators date: 2014-02-08 words: 3694 flesch: 81 summary: | X | (A + B)) µ1r 2 ||| 1 µ1 |||((A−B)∗ | X | (A−B)) µ2r 2 ||| 1 µ2 . | X | (A + B)) µ1r 2 ||| 1 µ1 |||((A−B)∗ | X | (A−B)) µ2r 2 ||| 1 µ2 . keywords: ||| cache: ijaa-254.pdf plain text: ijaa-254.txt item: #311 of 571 id: ijaa-2540 author: Alshahrani, Ohoud A. title: Application of the F-Expansion Method for Solving the Fokas-Lenells Equation date: 2022-04-08 words: 3110 flesch: 73 summary: Finally, several kinds of soliton solutions such as singular soliton solution and dark-singular combo soliton solution can be derived by considering more inputs of the 46 cases in Appendix A with the aid of Appendix B. 6. Several kinds of soliton solutions such as singular soliton solution and dark-singular combo soliton solution can be derived by further investigations of the suggested method. keywords: case; equation; solutions cache: ijaa-2540.pdf plain text: ijaa-2540.txt item: #312 of 571 id: ijaa-2542 author: Ghide, Luwam; Wei, Siyuan; Ding, Yiming title: Comparative Study of Wavelet-SARIMA and EMD-SARIMA for Forecasting Daily Temperature Series date: 2022-03-18 words: 7715 flesch: 60 summary: Wavelet transform (WT) and Empirical mode decomposition (EMD) based ARIMA model achieve better prediction accuracy than direct applying ARIMA model to our time series. Referring to both tables, it is clear that the MAE, MASE and RMSE result of EMD based SARIMA model is bigger than the results of all other methods. keywords: arima; data; decomposition; emd; forecasting; model; residual; series; study; temperature; time; time series; value; wavelet cache: ijaa-2542.pdf plain text: ijaa-2542.txt item: #313 of 571 id: ijaa-2543 author: Ananiev, V.; Read, A. L. title: Approximating the Mode of the Non-Central Chi-Squared Distribution date: 2022-03-30 words: 2857 flesch: 74 summary: Non-central χ2 distributions and behavior of the mode. We already know, based on the approximate solution (Eq. 2.11), that the chosen guess will undershoot at large non-centrality values λ. keywords: mode cache: ijaa-2543.pdf plain text: ijaa-2543.txt item: #314 of 571 id: ijaa-2544 author: Lee, Taeyoung title: Real Harmonic Analysis on the Special Orthogonal Group date: 2022-04-04 words: 8562 flesch: 73 summary: It is straightforward to show that the columns of T l are mutually orthonormal, i.e., T l is unitary so that (T l)−1 = (T l)∗ Interestingly, while the Clebsch-Gordon coefficients Cl1,l2 for the complex harmonics are real-valued, those for real harmonics can be complex-valued as the matrix T l is composed of real or imaginary elements. keywords: analysis; fourier; l m; matrix; so(3; transform cache: ijaa-2544.pdf plain text: ijaa-2544.txt item: #315 of 571 id: ijaa-2546 author: Arshad, Muhammad Zeshan; Balogun, Oluwafemi Samson ; Iqbal, Muhammad Zafar ; Oguntunde, Pelumi E. title: On Some Properties of a New Truncated Model With Applications to Lifetime Data date: 2022-04-08 words: 6319 flesch: 73 summary: [11] H.D. Kan, B.H. Chen, Statistical distributions of ambient air pollutants in Shanghai, China, Biomed. The CDF of the Bi– ELTr–PF distribution followed by the Clayton family for the random vector (𝑋,𝑌) is 𝐶(𝑥,𝑦) keywords: appl; distribution; eltr; entropy; function cache: ijaa-2546.pdf plain text: ijaa-2546.txt item: #316 of 571 id: ijaa-2549 author: Sboui, Abir; Hasnaoui, Abdelhalim title: Payne-Sperb-Stakgold Type Inequality for a Wedge-Like Membrane date: 2022-03-31 words: 2353 flesch: 79 summary: 2α+1 α+1 f (t)dt = ∫ M 0 2α + 1 α + 1 f (t) ∫ m(t) 0 ξ α α+1 dξdt (3.17) = 2α + 1 α + 1 ∫ M 0 f (t) ∫ µ(D) 0 ξ α α+1 χ{w∗>t}(ξ)dξdt = 2α + 1 α + 1 ∫ µ(D) 0 ∫ Let α ≥ 1 and W be the wedge defined in polar coordinates (r,θ) by W = { (r,θ) ∣∣ r > 0, 0 < keywords: inequality cache: ijaa-2549.pdf plain text: ijaa-2549.txt item: #317 of 571 id: ijaa-2556 author: Rossafi, Mohamed; Nhari, Fakhr-dine title: K-g-Duals in Hilbert C∗-Modules date: 2022-04-21 words: 2991 flesch: 84 summary: Suppose K ∈ End∗A(H) has closed range and {Λj ∈ End ∗ A(H,Hj)} is a K −g−frame for H. for each j ∈ J, let Γj ∈ End∗A(H,Hj). Let K ∈ End∗A(H) and {Λj ∈ End ∗ A(H,Hj), j ∈ J}. keywords: j∈j; λjx cache: ijaa-2556.pdf plain text: ijaa-2556.txt item: #318 of 571 id: ijaa-2557 author: Saleh, Wedad title: Fractional Order Riemann Curvature Tensor in Differential Geometry date: 2022-05-27 words: 5971 flesch: 86 summary: The fractional curvature R̃ of order α of a Riemannian manifold N is a correspondence that associates to every pair Xα,Y α ∈ χα a mapping R̃(Xα,Y α): χα(N)×χα(N)→ χα(N) given by R̃(X α ,Y α )Z α =5αXα 5 α Y α Z α −5αY α 5 α Xα Z α −5α[Xα,Y α]Z α , where Zα ∈ χα and 5α is the fractional Riemannian connection. (2) R̃(X α ,Y α )(Z α +W α ) =5αXα 5 α Y α (Z α +W α )−5αY α 5 α Xα (Z α +W α )−5α[Xα,Y α](Z α +W α ) =5αXα 5 α Y α Z α +5αXα 5 α Y α W α −5αY α 5 α Xα Z α −5αY α 5 α XαW α −5α[Xα,Y α]Z α −5α[Xα,Y α]W α =(5αXα 5 α Y α Z α −5αY α 5 α Xα Z α −5α[Xα,Y α]Z α ) keywords: j ∂; w α; y α; z α; α j; α k; α l; ∂ α cache: ijaa-2557.pdf plain text: ijaa-2557.txt item: #319 of 571 id: ijaa-2566 author: Albishry, Bayan; Alshehri, Sarah O.; Zeyada, Nasr title: Doubt m-Polar Fuzzy Sets Based on BCK-Algebras date: 2023-06-16 words: 7273 flesch: 89 summary: (x))= Qf (x). Let x ∈ X and y ′ ∈ X ′ , then there exist y ∈ X such that f (y)= y ′ . � Proposition 3.8 If every doubt m-polar fuzzy subalgebra Q of X satisfies Q(x ∗y)≤ Q((y) for all x,y ∈ X, then Q is constant. Proof. keywords: doubt; fuzzy; ideal; q(x cache: ijaa-2566.pdf plain text: ijaa-2566.txt item: #320 of 571 id: ijaa-2567 author: Saleem, M. M.; Ullah, Z.; Abbas, T.; Raza, M. B.; Qayyum, A. title: A New Ostrowski’s Type Inequality for Quadratic Kernel date: 2022-06-06 words: 4058 flesch: 93 summary: − 26ď2 − 198ÿ2∣∣ ,∣∣127č2 − 297čÿ − 27ďÿ + 43čď − − 26ď2 − 198ÿ2∣∣ ,∣∣127č2 − 297čÿ − 27ďÿ + 43čď − keywords: ď −; ÿ −; − č cache: ijaa-2567.pdf plain text: ijaa-2567.txt item: #321 of 571 id: ijaa-2571 author: Sudharshana, Govindarajulu Narayanan title: On Weakly S-2-Absorbing Submodules date: 2023-05-22 words: 9021 flesch: 94 summary: That is sab ∈ (P : M) or sam ∈ P or sbm ∈ P, which is not possible by our assumption. A proper submodule P of M is defined as weakly prime if for a ∈ R and m ∈ M, whenever for 0 6= am ∈ P implies a ∈ (P :R M) or m keywords: s-2; sab; submodule cache: ijaa-2571.pdf plain text: ijaa-2571.txt item: #322 of 571 id: ijaa-2573 author: Iampan, Aiyared; Vijaya Bharathi, V.; Vanishree, M.; Rajesh, N. title: Interval-Valued Intuitionistic Fuzzy Subalgebras/Ideals of Hilbert Algebras date: 2022-05-20 words: 9010 flesch: 97 summary: Let x ∈ X and y ∈ U(µA : An IVIF set A = (µA,γA) in a Hilbert algebra X is called an IVIF subalgebra of X if (∀x,y ∈ X) ( µA(x ·y) ≥ rmin{µA(x),µA(y)} γA(x ·y) ≤ rmax{γA(x),γA(y)} ) . keywords: hilbert; ivif; µa(x cache: ijaa-2573.pdf plain text: ijaa-2573.txt item: #323 of 571 id: ijaa-2583 author: Khaled, S. M. title: Applications of Standard Methods for Solving the Electric Train Mathematical Model With Proportional Delay date: 2022-06-02 words: 3513 flesch: 87 summary: At c = −1 we have cn = −1 (if n is odd) and cn = 1 (if n is even), Accordingly, the limit (22) becomes 1 ρ = lim n→∞ ∣∣∣∣a±bn + 1 ∣∣∣∣ |t| = 0, where c = −1, t ∈R, (24) which completes the proof. = d0 + ∞∑ n=1 dn t n, = d0 + ∞∑ n=1 1 n! keywords: k=0; solution; y(t cache: ijaa-2583.pdf plain text: ijaa-2583.txt item: #324 of 571 id: ijaa-2595 author: Krailoet, Wasitthirawat; Chinram, Ronnason; Petapirak, Montakarn; Iampan, Aiyared title: Applications of Spherical Fuzzy Sets in Ternary Semigroups date: 2022-06-13 words: 3748 flesch: 82 summary: In this paper, we introduce the notions of spherical fuzzy ternary subsemigroups and spherical fuzzy ideals in ternary semigroups by using the concepts of ternary subsemigroups and ideals in ternary semigroups. Our aim of this paper is to study spherical fuzzy ternary subsemigroups and spherical fuzzy ideals in ternary semigroups by using the concepts of ternary subsemigroups and ideals in ternary semigroups. keywords: ideal; inf; sup; ternary; ′∈[y]ρ cache: ijaa-2595.pdf plain text: ijaa-2595.txt item: #325 of 571 id: ijaa-2597 author: Iampan, Aiyared; Julatha, Pongpun; Lekkoksung, Nareupanat title: A Brief Note On QS/BP/BOI-Algebras date: 2022-06-16 words: 1246 flesch: 75 summary: In 1966, Imai and Iséki [4,5] introduced BCK-algebras and BCI-algebras, which were important algebras and also inspired the creation of new types of algebra. If X =(X;∗,0) is a BOI-algebra, then (∀x ∈X)(x ∗0= x), (QS2) (∀x,y ∈X)(0∗ (x ∗y)= y ∗x), (1.6) (∀x,y,z ∈X)((z ∗x)∗ (z ∗y)= y ∗x), (BM) (∀x,y,z ∈X)((x ∗z)∗ (y ∗z)= x ∗y), (BP2) (∀x,y ∈X)((x ∗y)∗ (0∗y)= x), (1.7) (∀x,y ∈X)(x ∗ (x ∗ (x ∗y))= x ∗y), (1.8) (∀x,y ∈X)((x ∗y)∗x =0∗y), (1.9) (∀x,y,z ∈X)((x ∗y)∗z =( keywords: algebras cache: ijaa-2597.pdf plain text: ijaa-2597.txt item: #326 of 571 id: ijaa-2598 author: Pandey, C.P.; Jyoti Saikia title: The Continuous Wavelet Transform for a q-Bessel Type Operator date: 2022-07-06 words: 7190 flesch: 91 summary: ( ) ( ) ( ) ( ) ( ) 1 2 2 2 2 2 2 2 0 , 1 . ; , n n n n n n q j x q x q q q q   + + = = − (2.2) Theorem 2.1 (i) By (3.6) and theorem 2.1 (iii) we have ( )( ) ( ) ( )( )( ) ( ) ( )( )( ) ( )( ) 22 1 , 2 , 2 2 0 0 2 1 2 4 1 0 2 2 1 0 , q q n q n q n n q q F f d F M f d M f keywords: n f; n n; n q; q g; q q cache: ijaa-2598.pdf plain text: ijaa-2598.txt item: #327 of 571 id: ijaa-260 author: Ravi, K.; Senthil Kumar, B.V. title: Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach date: 2014-02-08 words: 4152 flesch: 83 summary: [12] S.C. Cheng and J.M. Mordeson, Fuzzy linear operators and fuzzy normed linear spaces, Bull. [29] S.V. Krishna and K.K.M. Sarma, Separation of fuzzy normed linear spaces, Fuzzy Sets and Syst., 63 (1994), 207-217. keywords: fuzzy; stability cache: ijaa-260.pdf plain text: ijaa-260.txt item: #328 of 571 id: ijaa-2601 author: Ratchakhwan, Noppakao; Julatha, Pongpun; Gaketem, Thiti; Khamrot, Pannawit; Prasertpong, Rukchart; Iampan, Aiyared title: (inf, sup)-Hesitant Fuzzy Ideals of BCK/BCI-Algebras date: 2022-07-15 words: 7425 flesch: 89 summary: Let ω̃ be an (inf, sup)-HFId of X and x,y ∈ X such that x ≤ y. Then Fω̃(x) ≥ Fω̃(y) and Fω̃(x) ≥Fω̃(y). To show that FC(A,∇,∆) and FC(A,∇,∆) satisfy the condition (2.6), let x,y ∈ X . keywords: fuzzy; fω̃; inf cache: ijaa-2601.pdf plain text: ijaa-2601.txt item: #329 of 571 id: ijaa-2602 author: Germain, Brou Kouakou; Toure, Ibrahima; Kangni, Kinvi title: A Plancherel Theorem On a Noncommutative Hypergroup date: 2022-07-06 words: 3427 flesch: 83 summary: the space of Radon measures) with compact support on G, - C0(G) the space of elements in C(G) which are zero at infinity, - C(G) the space of compact sub-space of G, - δx the point measure at x ∈ G, - spt(f ) the support of the function f . For x ∈ G, the double coset of x with respect to K is K∗{x}∗K = {k1 ∗x ∗k2;k1,k2 ∈ K}. keywords: hypergroup; mb(g; space cache: ijaa-2602.pdf plain text: ijaa-2602.txt item: #330 of 571 id: ijaa-2605 author: An, Ly Van title: Generalized Stability Additive λ-Functional Inequalities With 3k-Variable in α-Homogeneous F-Spaces date: 2022-08-31 words: 4818 flesch: 85 summary: ∥∥∥∥∥ Y (3.1) for all xj,yj,zj ∈ X for j = 1 → n, then f : X → Y is additive Proof. Y (4.1) for all xj,yj,zj ∈ X for j = 1 → n, then f : X → Y is additive Proof. keywords: j=1 f; j=1 xj; k∑ j=1; − k∑ cache: ijaa-2605.pdf plain text: ijaa-2605.txt item: #331 of 571 id: ijaa-2609 author: Teniola, Babalola Bayowa; Ayantunji, Adeleke Raphael; Yusuf, Halid Omobolaji; Olufunmilola, Olubiyi Adenike; Ebenezer, Ogunsakin Ropo; Abimbola, Adigun Kehinde; Oluwaseun, Adejuwon Samuel; Idowu, Adarabioyo Mumini; Femi, Ogunboyo Ojo; Emmanuel, Fadugba Sunday; Augustine, Egbon Osafu; Oluwadare, Akinyemi; Daniel, Ogunwale Olukunle; Olanrewaju, Faweya; Martin, Kawiso title: Statistical Powers of Some Tests for Checking Homogeneity of Survival Distributions with Disjointed Ends in the Presence of Censoring date: 2022-09-12 words: 5195 flesch: 62 summary: In the paper, Wilcoxon test had the lowest relative power of all tests examined. The median powers for the tests arranged in descending order are 0.2618, 0.2538, 0.2533, 0.1472, 0.1093, 0.1064, and 0.1058, which are results of the Babalola-Adeleke test, Log-rank, Fleming-Harrington, Tarone-Ware, Wilcoxon tests, Peto-Peto and Modified Peto-Peto, respectively. keywords: censoring; curves; groups; peto; powers; rank; rates; sample; survival; tests cache: ijaa-2609.pdf plain text: ijaa-2609.txt item: #332 of 571 id: ijaa-261 author: Xi, Bo-Yan; Qi, Feng title: Some New Inequalities of Qi Type for Definite Integrals date: 2014-02-08 words: 2627 flesch: 83 summary: generalization; integral inequality; Qi type integral inequality; convex function; Jensen’s inequality; r-mean convex function; geometrically convex function; logarithmi- cally convex function; open problem. [15] N. Towghi, Notes on integral inequalities, RGMIA Res. keywords: f(x cache: ijaa-261.pdf plain text: ijaa-261.txt item: #333 of 571 id: ijaa-2613 author: Gairola, Asha Ram; Maindola, Suruchi; Rathour, Laxmi; Mishra, Lakshmi Narayan; Mishra, Vishnu Narayan title: Better Uniform Approximation by New Bivariate Bernstein Operators date: 2022-11-07 words: 5809 flesch: 80 summary: (2022), 20:60 3 The class B(D) consists of the functions f (x,y) defined and bounded on D. Then the bivariate Bernstein operators of degrees n,m with respect to f ∈ B(D) are defined by (cf. We will need the class Cs(D),s ∈ N0 in order to establish estimates for the smooth functions. Cs(D) := { f ∈ C(D) : ∂rf ∂i∂r−i ∈ C(D), i ∈ 0, r, r ∈ 0,s } . keywords: approximation; bernstein; m(f; operators; ∣∣∣∣ cache: ijaa-2613.pdf plain text: ijaa-2613.txt item: #334 of 571 id: ijaa-2616 author: Varošanec, Sanja title: MϕA-h-Convexity and Hermite-Hadamard Type Inequalities date: 2022-08-03 words: 4614 flesch: 87 summary: If f is MϕA-h1-convex and g is MϕA-h2-convex, then the product f g is MϕA-h-convex. Proof. Since f is a MϕA-h-convex function, then f ◦ϕ−1 is h-convex on ϕ(I) and using the Jensen inequality for h-convex functions and its converse ( [13, Theorems 19 and 21]), we get the above results. keywords: convex; function; inequality; mϕa cache: ijaa-2616.pdf plain text: ijaa-2616.txt item: #335 of 571 id: ijaa-2617 author: Alzubaidi, Marwa M. title: Exact Solutions and Stability of Fourth Order Systems of Difference Equations Using Padovan Numbers date: 2022-08-15 words: 3842 flesch: 87 summary: Φ−2 = β, Φ−1 = γ, Φ0 = δ, Ψ−3 = �, Ψ−2 = ζ, Ψ−1 = η, and Ψ0 = κ. Φ−2 = β, Φ−1 = γ, Φ0 = δ, Ψ−3 = �, Ψ−2 = ζ, Ψ−1 = η, and Ψ0 = κ. keywords: solutions; ρ2n−3 cache: ijaa-2617.pdf plain text: ijaa-2617.txt item: #336 of 571 id: ijaa-2618 author: Simuen, Anusorn; Chinram, Ronnason; Yonthanthum, Winita; Iampan, Aiyared title: Picture N-Sets and Applications in Semigroups date: 2022-08-24 words: 3020 flesch: 84 summary: Assume that A is a left ideal of S. Let x,y ∈ S. For x ∈ S, the element x (TN◦M,IN◦M,FN◦M) is simply denoted by (PN �PM)(x)= (TN◦M(x), IN◦M(x),FN◦M(x)) for the sake of convenience. keywords: ideal; picture; picture n cache: ijaa-2618.pdf plain text: ijaa-2618.txt item: #337 of 571 id: ijaa-262 author: Thakur, Balwant Singh; Sharma, Ajay title: Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs date: 2014-02-08 words: 4621 flesch: 88 summary: Main results Consider x0 ∈ A, then Sx0 ∈ B, so there exists y0 ∈ B such that y0 = Sx0. For all x ∈ A and y ∈ B, we have dist(A,B) ≤ keywords: dist(a cache: ijaa-262.pdf plain text: ijaa-262.txt item: #338 of 571 id: ijaa-2621 author: Aydın, Saadettin title: Some New Types of Convergence Definitions for Random Variable Sequences date: 2022-08-24 words: 2823 flesch: 72 summary: A sequence x ∈ l∞ is said to be invariant convergent to ` if all of its invariant limits are equal to `. The sequence {Xn} is said to be invariant convergent in probability to a random variable X if for any ε > 0 lim n→∞ 1 n n∑ k=1 P(|Xσk(m) −X| keywords: convergent; probability cache: ijaa-2621.pdf plain text: ijaa-2621.txt item: #339 of 571 id: ijaa-2623 author: Abu-Gdairi, Radwan title: Analytical Solution of Nonlinear Fractional Gradient-Based System Using Fractional Power Series Method date: 2022-09-28 words: 5251 flesch: 68 summary: Hence, we get the following correspond system of FDEs 𝐷𝑡 𝛼 𝑥1(𝑡) = −400(𝑥1 2 − 𝑥2)𝑥1 − 2(𝑥1 − 1) −𝜂(2𝑥1 − 4)(𝑥1 2 − 4𝑥1 − 2𝑥2 + 12), 𝐷𝑡 𝛼 𝑥2(𝑡) = 200(𝑥1 2 − 𝑥2) + [45] A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier Science B.V., Amsterdam, 2006. keywords: appl; fractional; problem; system cache: ijaa-2623.pdf plain text: ijaa-2623.txt item: #340 of 571 id: ijaa-2627 author: Kalyani, U. Venkata; Eswarlal, T.; KaviKumar, J.; Iampan, A. title: Bipolar Fuzzy Sublattices and Ideals date: 2022-09-12 words: 5811 flesch: 93 summary: Then δ is called a fuzzy sublattice (FL) of L if for all T ,k ∈ L, (i) δ(T ∨k) ≥ min{δ(T ),δ(k)}, (ii) δ(T ∧k) ≥ min{δ(T ),δ(k)}. Let T ,k ∈ L be such that T ≤ k. keywords: b n; n δ; p δ cache: ijaa-2627.pdf plain text: ijaa-2627.txt item: #341 of 571 id: ijaa-2628 author: Muangkarn, Patchara; Suanoom, Cholatis; Phuto, Jirayu; Iampan, Aiyared title: Tri-Endomorphisms on BCH-Algebras date: 2023-05-09 words: 2214 flesch: 87 summary: [3] A BCH-algebra is a non-empty set X with an element 0 and a binary operation ∗ satisfying the following conditions: (BCH1) (∀x ∈X)(x ∗x =0), (BCH2) (∀x,y ∈X)(x ∗y =0,y ∗x =0⇒ x = y), (BCH3) (∀x,y,z ∈X)((x ∗y)∗z =(x ∗z)∗y). Then the following hold: for all x,y ∈X, (BCH4) (∀x,y ∈X)(x ∗ (x ∗y)≤ y), (BCH5) (∀x ∈X)(x ∗0=0⇒ x =0), (BCH6) (∀x,y ∈X)(0∗ (x ∗y)= (0∗x)∗ (0∗y)), (BCH7) (∀x ∈X)(x ∗0= x), (BCH8) (∀x,y ∈X)((x ∗y)∗x =0∗y), (BCH9) (∀x,y ∈X)(x ≤ y ⇒ 0∗x keywords: tri cache: ijaa-2628.pdf plain text: ijaa-2628.txt item: #342 of 571 id: ijaa-2630 author: Saad, M. Khalifa; Abdel-Aziz, H. S.; Abdel-Salam, A. A. title: Evolutes of Fronts in de Sitter and Hyperbolic Spheres date: 2022-09-21 words: 5271 flesch: 87 summary: Conclusion In 2-dimensional de Sitter and hyperbolic spaces, some types of curves such as framed curves, framed immersion curves, frontal curves and front curves are studied. Frenet frames; evolute curves; front curves; de Sitter space; hyperbolic space. keywords: curve; evolute cache: ijaa-2630.pdf plain text: ijaa-2630.txt item: #343 of 571 id: ijaa-2631 author: Wattanasiripong, Nuttapong; Mekwian, Jirapong; Sanpan, Hataikhan; Lekkoksung, Somsak title: On Tripolar Fuzzy Pure Ideals in Ordered Semigroups date: 2022-09-26 words: 6330 flesch: 88 summary: f ◦g = f ∩g) for every tripolar fuzzy ideal g of S. A tripolar fuzzy ideal is called a tripolar weakly pure ideal of S if it is both a tripolar fuzzy right and a tripolar fuzzy left ideal of S. A tripolar fuzzy subset f of S is idempotent with respect to ◦ if f ◦ f = f . A tripolar fuzzy subset f = (f +, f ∗, f−) of S is called a tripolar fuzzy right (resp., left) ideal of S if for every x,y ∈ S, (1) f +(xy) keywords: fuzzy; ideal; tripolar cache: ijaa-2631.pdf plain text: ijaa-2631.txt item: #344 of 571 id: ijaa-2635 author: Cabanillas Lapa, Eugenio; Barahona Martinez, Willy title: On the Frictional Contact Problem of p(x)-Kirchhoff Type date: 2022-10-07 words: 4338 flesch: 85 summary: As has been said before, we freeze the state variable u on the function F , that is, we fix w ∈ X and consider the problem: Find u ∈ X and λ 〈 F (u),v 〉 , ∀v ∈ X (2.8) b(u,µ−λ) ≤ 0 keywords: appl; problem cache: ijaa-2635.pdf plain text: ijaa-2635.txt item: #345 of 571 id: ijaa-2636 author: Palanivel, Kaliyaperumal; Muralikrishna, Prakasam; Hemavathi, Perumal; Chinram, Ronnason; Singavananda, Pattarawan title: Interval Valued Intuitionistic Fuzzy β-Filters on β-Algebras date: 2022-09-26 words: 4695 flesch: 84 summary: ∈ Γ : �Ξ(%δ) ≥ s & φΞ(%δ) ≤ t} is referred as a level set of InVInF β-filter Ξ of Γ. Theorem 4.2. Then it is observed that, Ξ is an InVF β-filter on Γ. 4 Int. keywords: ỳδ cache: ijaa-2636.pdf plain text: ijaa-2636.txt item: #346 of 571 id: ijaa-2637 author: Saadaoui, Kheir; Milles, Soheyb; Zedam, Lemnaouar title: Fuzzy Ideals and Fuzzy Filters on Topologies Generated by Fuzzy Relations date: 2022-09-21 words: 3186 flesch: 77 summary: The first approach considered fuzzy ideal and fuzzy filter as fuzzy sets on crisp structures, like on lattices or on residuated lattices [5], [9], [15]. In Section 2, we recall some basic concepts related to fuzzy sets, fuzzy relations and fuzzy topology. keywords: fuzzy; lattice; sets; topology cache: ijaa-2637.pdf plain text: ijaa-2637.txt item: #347 of 571 id: ijaa-2638 author: Fadugba, S.E.; Adeniji, A.A.; Kekana, M.C.; Okunlola, J.T.; Faweya, O. title: Direct Solution of Black-Scholes-Merton European Put Option Model on Dividend Yield With Modified-Log Payoff Function date: 2022-10-14 words: 2683 flesch: 76 summary: In other words, option valuation has contributed greatly to the financial markets. (2022), 20:54 after the huge success recorded by the Black-Scholes model for vanilla option flavours, several other valuation formula were developed for options pricing with different payoff functions such as Mellin transform, binomial model, finite difference method, Monte Carlo method, e.t.c; see [3] – [6]. keywords: mellin cache: ijaa-2638.pdf plain text: ijaa-2638.txt item: #348 of 571 id: ijaa-2641 author: Jittburus, Uraiwan ; Julatha, Pongpun; Pumila, Attaphol ; Chunsee, Napaporn ; Iampan, Aiyared ; Prasertpong, Rukchart title: New Generalizations of sup-Hesitant Fuzzy Ideals of Semigroups date: 2022-11-01 words: 12030 flesch: 92 summary: Assume that ε̂ is a sup+α-HFRI of A. Let H ∈ ℘([0, 1 − α]), p,q ∈ A and k ∈H(ε̂,H) Let p,q ∈ A and H = keywords: fuzzy; resp; sets; sup; sup− β; ε̂(p cache: ijaa-2641.pdf plain text: ijaa-2641.txt item: #349 of 571 id: ijaa-2644 author: Kalyani, U. Venkata; Eswarlal, T.; Rao, K. V. Narasimha; Iampan, A. title: Bipolar Fuzzy Magnified Translations in Groups date: 2022-10-20 words: 2233 flesch: 83 summary: Bipolar fuzzy magnified translations in groups Definition 3.1. Bipolar fuzzy magnified translations in groups References keywords: bfsg; bipolar cache: ijaa-2644.pdf plain text: ijaa-2644.txt item: #350 of 571 id: ijaa-2648 author: Elkhadir, Saif H.; Saeed, Ali E. M.; Abasher, Abdelfatah title: Mathematical Model of Hepatitis B Virus With Effect of Vaccination and Treatments date: 2022-10-14 words: 3994 flesch: 76 summary: +−(γ +µ)R =0 By solving these equations we get M0 = αµ φ+µ , R0 = δ(φ+(1−α)µ) φγ +δφ+µφ+µγ +µδ +µ2 , and S0 = φγ +µγ +αµγ +φµ+µ2 −αµ2 φγ +δφ+µφ+µγ +µδ +µ2 therefore the disease - free equilibrium of the model is E0 ( αµ φ+µ , φγ +µγ +αµγ +φµ+µ2 −αµ2 φγ +δφ+µφ+µγ +µδ +µ2 ,0,0, δ(φ+(1−α)µ) keywords: compartments; model cache: ijaa-2648.pdf plain text: ijaa-2648.txt item: #351 of 571 id: ijaa-2654 author: Suhhiem, Mazin H.; Khwayyit, Raad I. title: Semi Analytical Solution for Fuzzy Autonomous Differential Equations date: 2022-11-16 words: 3990 flesch: 91 summary: [𝑢(0)]r 𝐿 = 2 + r [𝑢ˊ(0)]r 𝐿 = 5 + r [𝑢´´(𝑥)]r 𝑈 = 4[𝑢´(𝑥)]α 𝑈 − 4[𝑢(𝑥)]r 𝑈; (2.13) ●) If 𝐿 = 𝑑 𝑑𝑥 , then we have: keywords: 𝐴0]𝑟 𝐿; 𝐿 =; 𝑈 =; 𝑢(𝑥)]𝑟 𝑈; 𝜃0]𝑟 𝐿 cache: ijaa-2654.pdf plain text: ijaa-2654.txt item: #352 of 571 id: ijaa-2657 author: Rahman, Shamsur; Haseeb, Abdul; Jamal, Nargis title: Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds date: 2022-11-07 words: 3705 flesch: 79 summary: In [6], Blair introduced the notion of quasi-Sasakian manifolds that unifies Sasakian and cosymplectic manifolds. [19] also contributed some remarkable results on quasi-Sasakian structure. keywords: manifold; sasakian cache: ijaa-2657.pdf plain text: ijaa-2657.txt item: #353 of 571 id: ijaa-2660 author: Hasan, Md Rifat; Hobiny, Aatef ; Alshehri, Ahmed title: Analysis of Vector-host SEIR-SEI Dengue Epidemiological Model date: 2022-11-01 words: 5081 flesch: 61 summary: Values for baseline parameters with definitions and biological descriptions of Dengue model Parameter Biological descriptions 𝜦𝟏 Recruitment rates of human population 𝜷𝟏 Infectious rate from vector to host 𝜷𝟐 Infectious rate within host 𝝁𝟏 Humna’s natural death rate 𝜶𝟏 Panic/tension/anxiety rate of human 𝜷𝟑 Recovery rate of infected human 𝚲𝟐 Recruitment rates of vector population 𝜷𝟒 Infection rate from human to vector 𝜷𝟓 Extrinsic incubation of vector 𝝁𝟐 Natural death rate of vector population 3. According to our research, the most important model parameters are recruitment rates of human population (𝛬1), recruitment rates of vector population (𝛬2), rate of infectious from vector to host ( 𝛽1), natural death rate of human ( 𝜇1), panic/tension/anxiety rate of human ( 𝛼1), recovery rate of infected human ( 𝛽3), infection rate from human to vector ( 𝛽4), extrinsic incubation of vector ( 𝛽5), and natural death rate of vector population ( 𝜇2). keywords: appl; dengue; disease; equilibrium; model; population; transmission; vector cache: ijaa-2660.pdf plain text: ijaa-2660.txt item: #354 of 571 id: ijaa-2662 author: Batiha, Iqbal M. title: Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem date: 2022-11-16 words: 3006 flesch: 79 summary: To this aim, let Lu = F, where L = (LF, l1, l2), and F = (f ,ϕ,ψ) be the operator equation corresponding to problem (1.1)-(1.3). (1.4) The Hilbert space F consists of the vector valued functions F = (f ,u0) with the norm ‖F‖2F = ‖f‖ 2 L2(Q) + ‖ψ‖ 2 L2(Ω) + ‖ϕx‖ 2 L2(Ω) + keywords: lq+1(ω cache: ijaa-2662.pdf plain text: ijaa-2662.txt item: #355 of 571 id: ijaa-2663 author: Pandey, C.P.; Moungkang, Khetjing; Singh, Sunil Kumar; Dixit, M.M.; Ado, Mopi title: Inversion Formula for the Wavelet Transform on Abelian Group date: 2022-11-25 words: 2164 flesch: 84 summary: such that x+(−x) = (−x)+x = 0. S is a topological group if it has a group operation and a topology such that the maps α : G×G → G and β : G ×G → G are continuous, where α(x,y) (2022), 20:64 Let G be LCA group , we define an LP (G) space to be the space of all complex valued functions f on G such that the integral ∫ G |f |pdµ exists with respect to the Haar measure. keywords: |a| cache: ijaa-2663.pdf plain text: ijaa-2663.txt item: #356 of 571 id: ijaa-2664 author: Muhammad, N.; Asghar, A.; Aslam, M.; Irum, S.; Iftikhar, M.; Abbas, M. M.; Qayyum, A. title: Generalization of Fixed Point Approximation of Contraction and Suzuki Generalized Non-Expansive Mappings in Banach Domain date: 2022-12-06 words: 5792 flesch: 87 summary: hn + γnThn −g‖]. Let η = max[h, h 1−h ] ∈ (0, 1) ‖zn −g‖ ≤ η‖(1 −γn) hn + γnhn −g‖ ≤ η‖(1 −γn) hn − (1 −γn)g + γnThn −γng‖ ≤ η 6= φ and ‖Txo −p‖ ≤ ‖xo −p‖, of all xo ∈ K and of all p ∈ Q(T ). keywords: banach; convex; non; −g‖ cache: ijaa-2664.pdf plain text: ijaa-2664.txt item: #357 of 571 id: ijaa-2669 author: Hussain, Saddam; Iftikhar, Anum ; Ullah, Kleem; Atta, Gulnaz; Ali, Usman; Parveen, Ulfat; Arif, Muhammad Yasir; Qayyum, Ather title: Estimation of Finite Population Mean by Utilizing the Auxiliary and Square of the Auxiliary Information date: 2023-02-27 words: 3405 flesch: 63 summary: (4.4) It can be shown that proposed estimator MSEmin( ˆ̄YPr ) is always better perform then the difference estimator Varmin( ˆ̄YD), i.e., MSEmin( ˆ̄YPr ) ∼= Varmin( ˆ̄YD) −{V1 + V2}, (4.5) where V1 is defined as before and V2, is given by V2 = λȲ 2C2y (ρyu −ρyxρxu)2(−8 + λϑ2C2x )2 64(1 −ρ2xu){1 + λC2y (1 −ρ2yx )}{1 + λC2y (1 −ϕ2yxu)} . [11] A. Haq, J. Shabbir, Improved family of ratio estimators in simple and stratified random sampling, Commun. keywords: population; ˆ̄ygk; ˆ̄ypr cache: ijaa-2669.pdf plain text: ijaa-2669.txt item: #358 of 571 id: ijaa-2676 author: Omkar, Ramavath; Phaneendra, K. title: Numerical Simulation of Singularly Perturbed Delay Differential Equations With Large Delay Using an Exponential Spline date: 2022-11-25 words: 5615 flesch: 86 summary: Using these conditions, we get the following expressions ai = h2(Mi+1−e−θMi ) 2θ2sinh(θ) , bi = h2(Mi−e−θMi+1) 2θ2sinh(θ) , ci = (Si+1−Si ) h − h(Mi+1−Mi ) θ2 and di = Si − h2Mi θ2 where θ = kh l − 1. keywords: |τ| cache: ijaa-2676.pdf plain text: ijaa-2676.txt item: #359 of 571 id: ijaa-2683 author: Naresh, P.; Reddy, G. Upender; Rao, B. Srinuvasa title: Existence Suzuki Type Fixed Point Results in Ab-Metric Spaces With Application date: 2022-12-15 words: 6462 flesch: 93 summary: Case (i): Assume that f λp 6= f λp+1 or f ζp 6= f ζp+1∀ ≤ Ab (f a,f a · · · ,(f a)n−1, f λ) ≤ Ab (f λ,f λ, · · · , f λp) keywords: f b; f ζ; f ζ0; f ζ1; f ζp; f λ; f λ0; f λ1; f λp cache: ijaa-2683.pdf plain text: ijaa-2683.txt item: #360 of 571 id: ijaa-2686 author: Alharbi, Weam G. title: Exact and Numerical Treatment of a Special Kind of the Pantograph Model via Laplace Technique date: 2022-12-26 words: 4259 flesch: 70 summary: In addition, several types of exact solutions were proved at special cases and expressed as hyperbolic, linear, and constant functions. Properties of solution In this section, we introduce some properties of the obtained exact solution (24). keywords: appl; solution cache: ijaa-2686.pdf plain text: ijaa-2686.txt item: #361 of 571 id: ijaa-2689 author: Oudetallah, Jamal ; Batiha, Iqbal M. title: Mappings and Finite Product of Pairwise Expandable Spaces date: 2022-12-12 words: 3590 flesch: 77 summary: Clearly, W is P–countably compact and hence X is p–expandable. The idea of the bitopological space was induced by topologies generalized by the following two sets: Bρ� = {y ∈ X | ρ(x,y) ≤ �} and Bδ� = {y ∈ X | δ(x,y) ≤ �}, where ρ and δ are quasi-metric spaces of X with ρ(x,y) = δ(y,x). keywords: expandable cache: ijaa-2689.pdf plain text: ijaa-2689.txt item: #362 of 571 id: ijaa-2691 author: Iwsakul, Sasiwimon; Urawong, Khamika; Panityakul, Thammarat; Chinram, Ronnason; Singavananda, Pattarawan title: Testing the Difference of Means of Populations With Respect to Intuitionistic Fuzzy Sets date: 2022-12-26 words: 2988 flesch: 73 summary: In this paper, we propose statistical hypothesis tests using small sample (or samples) based on the IFS. In this study, the tests of statistical hypotheses with crisp data using small samples are extended to with the membership function and the non-membership function of the intuitionistic fuzzy set. keywords: membership; test cache: ijaa-2691.pdf plain text: ijaa-2691.txt item: #363 of 571 id: ijaa-2692 author: Iampan, Aiyared; Jayaraman, P.; Sudha, S. D.; Rajesh, N. title: Fuzzy Subalgebras and Ideals With Thresholds of Hilbert Algebras date: 2022-12-15 words: 3633 flesch: 86 summary: Let x,y ∈ X be such [11] A fuzzy set µ in a Hilbert algebra X =(X, ·,1) is said to be a fuzzy ideal of X if the following conditions hold: (1) (∀x ∈ X)(µ(1)≥ µ(x)), (2) (∀x,y ∈ X)(µ(x ·y)≥ µ(y)), (3) (∀x,y1,y2 ∈ X)(µ((y1 · (y2 ·x)) ·x)≥min{µ(y1),µ(y2)}). keywords: fuzzy; hilbert cache: ijaa-2692.pdf plain text: ijaa-2692.txt item: #364 of 571 id: ijaa-2695 author: Adjaï, Kolawolé Kêgnidé Damien; Nonti, Marcellin; Akande, Jean; Monsia, Marc Delphin title: Unusual Nonpolynomial Van der Pol Oscillator Equations With Exact Harmonic and Isochronous Solutions date: 2022-12-26 words: 3412 flesch: 72 summary: Van der Pol equations with polynomial restoring force In this part, we present time-independent first integrals allowing the determination of Lagrangian and exact solutions of Van der Pol-type equations with polynomial restoring forces. Van der Pol equations with polynomial restoring force 2.1. keywords: der; equation; pol; solution; van cache: ijaa-2695.pdf plain text: ijaa-2695.txt item: #365 of 571 id: ijaa-2696 author: Khamrot, Pannawit ; Gaketem, Thiti title: A Novel of Cubic Ideals in Γ-Semigroups date: 2022-12-26 words: 7857 flesch: 94 summary: Thus there exists f ∈ KαeβK and f ∈ K. So (ω̌λK ◦α ω̌n ◦β ω̌λK)(f ) = ω̌λK(f ) = 1̌ and (υλK ◦α υm ◦β υλK)(f ) Then C = 〈ω̌,υ〉 is called a CB (α,β)-bi-ideal of S if ω̌ ◦α ω̌λS ◦β ω̌ % ω̌ and υ ◦α υλS ◦β keywords: ideal; left; ◦ β cache: ijaa-2696.pdf plain text: ijaa-2696.txt item: #366 of 571 id: ijaa-2697 author: Gaketem, Thiti; Khamrot, Pannawit title: Essential Bipolar Fuzzy Ideals in Semigroups date: 2023-01-17 words: 6641 flesch: 90 summary: Since ζ1 = (S; ζ p 1,ζ n 1) and ζ2 = (S; ζ p 2,ζ n 2) are essential BF ideals of S we have ζ1 = (S; ζ p 1,ζ n 1) and ζ2 = (S; ζ p 2,ζ n 2) are BF ideals of S. Thus ζ1 ∩ζ2 is a BF ideal of S. Let ξ = (S; ξp,ξn) be a BF ideal of S. Then ζp1 ∧ξ p 6= 0 and ζn1 ∨ξ n 6= 0. Let ζ1 = (S; ζ p 1,ζ n 1) and ζ2 = (S; ζ p 2,ζ n 2) be essential BF ideals of a semigroup S. keywords: ideal; λ n cache: ijaa-2697.pdf plain text: ijaa-2697.txt item: #367 of 571 id: ijaa-2700 author: Iqbal, Taswar; Iqbal, Muhammad Zafar; Kashif, Muhammad; Farid, Ghulam title: Identifying Process Deterioration in Weighted Exponentially Distributed Time Between Events date: 2023-01-23 words: 4688 flesch: 67 summary: That leads to the conclusion that the suggested Weighted- TBE chart identifies the scale shift more rapidly than the existing technique. Due to this, the TBE CC are commonly known as exponential control charts keywords: chart; control; distribution; exponential; process; shift; tbe; tbe chart cache: ijaa-2700.pdf plain text: ijaa-2700.txt item: #368 of 571 id: ijaa-2703 author: Lupianez, Francisco Gallego title: Regularity and Paracompactness in Fuzzy Topological Spaces date: 2023-02-13 words: 1750 flesch: 84 summary: A is called a r − Q cover of if A is a Q -cover of .r    Definition 4 [1] Let ( 0,1 r  , be a set in a fts . For each ( 0,1 ,r  let U be a r -open Q-cover of ( ),X  , and x be a fuzzy point of X . keywords: finite cache: ijaa-2703.pdf plain text: ijaa-2703.txt item: #369 of 571 id: ijaa-2707 author: Batiha, Iqbal M.; Barrouk, Nabila ; Ouannas, Adel ; Alshanti, Waseem G. title: On Global Existence of the Fractional Reaction-Diffusion System’s Solution date: 2023-02-21 words: 5840 flesch: 81 summary: θdxdt = ∫ Ω ω0 (x) Φ (0,x) dx, (2.4) and ∫ Q (∫ t 0 S (t − s) h (s,x) ds ) θdxdt = ∫ Q h (s,x) Φ (s,x) dxds. + ∫ t 0 S1 (t − s) f (un (s) ,vn (s)) keywords: solution cache: ijaa-2707.pdf plain text: ijaa-2707.txt item: #370 of 571 id: ijaa-2710 author: Thirupathi, T.; Srinivas, V. title: Some Results on Conditionally Sequential Absorbing Maps in Multiplicative Metric Space date: 2023-02-27 words: 3875 flesch: 88 summary: = 1 5 and lim k→∞ SAβk= lim k→∞ SA(1 5 + 2 3k ) Now lim k→∞ ASηk= lim k→∞ AS( 3 2k )= lim k→∞ A(1 2 + 9+6k 8k2 )= 1 2 and lim k→∞ SAηk= lim k→∞ SA( 3 2k2 + 1 keywords: j→∞; lim; lim j→∞; mappings cache: ijaa-2710.pdf plain text: ijaa-2710.txt item: #371 of 571 id: ijaa-2715 author: Venkatesh; Raju, Naga title: Some Invariant Point Results Using Simulation Function date: 2023-02-01 words: 3003 flesch: 84 summary: That is {ξn} is a cauchy sequence in the complete S-metric space X, we can find η ∈ X Then we say that a mapping h:X → X is asymp- totically regular at ξ ∈ X if limn→∞S(hnξ,hnξ,hn+1ξ)=0 By the following lemma, we can conclude that a generalized Zs-contraction is asymptotically regular at each point of X. Lemma 3.1. keywords: contraction; hnξ cache: ijaa-2715.pdf plain text: ijaa-2715.txt item: #372 of 571 id: ijaa-2716 author: Ragula, Kumar; Soujanya, G. BSL; Swarnakar, D. title: Computational Approach for a Singularly Perturbed Differential Equations With Mixed Shifts Using a Non-Polynomial Spline date: 2023-01-23 words: 4870 flesch: 81 summary: MAEs of Example 5.1 with various values of ε ε ↓ N → 23 24 25 26 27 28 Present method η = δ =0.5ε 10−1 3.769e-03 9.401e-04 2.209e-04 5.439e-05 1.359e-05 3.396e-06 2.0034 2.0889 2.0223 2.0002 1.7786 10−2 8.914e-03 4.578e-03 2.006e-03 7.512e-04 1.893e-04 4.425e-05 0.9611 1.1905 1.4168 1.9885 2.0968 10−3 8.968e-03 5.034e-03 2.683e-03 1.386e-03 6.778e-04 2.835e-04 0.8330 0.9076 0.9528 1.0324 1.2573 10−4 8.970e-03 5.036e-03 2.684e-03 1.388e-03 7.060e-04 3.561e-04 0.8334 0.9075 0.9517 0.9752 0.9874 10−5 8.970e-03 5.036e-03 2.684e-03 1.388e-03 7.060e-04 3.561e-04 0.8334 0.9075 0.9516 0.9752 0.9874 10−6 8.970e-03 5.036e-03 2.684e-03 1.388e-03 7.061e-04 3.561e-04 0.8334 0.9075 0.9516 0.9752 0.9874 Results in [21] η = δ =0.5ε 10−1 3.658e-03 9.595e-04 2.409e-04 Present method η = δ =0.5ε 2−3 5.102e-04 1.261e-04 3.161e-05 7.897e-06 1.973e-06 4.934e-07 2.0165 1.9960 2.0010 2.0002 2.0000 2−4 1.174e-03 2.837e-04 7.153e-05 1.784e-05 4.457e-06 1.114e-06 2.0489 1.9878 2.0034 2.0008 2.0002 2−5 2.676e-03 6.223e-04 1.550e-04 3.864e-05 keywords: anal; appl cache: ijaa-2716.pdf plain text: ijaa-2716.txt item: #373 of 571 id: ijaa-2717 author: Mangapathi, N.; Rao, B. Srinuvasa; Rao, K.R.K.; Pasha, M.I. title: On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications date: 2023-03-06 words: 6043 flesch: 90 summary: there exists σn ∈ U with σn+1 = Hb(σn,κn). ∈ P if, for each � > 0, there exists a positive integer n0 such that Sb(σn,σn,σ) < � or Sb(σ,,σ,σn) < � for all n ≥ n0 and we denote by lim n→∞ σn = σ. keywords: σmk cache: ijaa-2717.pdf plain text: ijaa-2717.txt item: #374 of 571 id: ijaa-2719 author: Nazra, Sahar H. title: Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4 date: 2023-07-10 words: 3399 flesch: 82 summary: Thereby, Eq. (3.13) become: M :P(s,t,r)=   1 2 coss − 1 2 (t − t0)(r − r0)sins − √ 3 2 (t − t0)sins 1 2 sins + 1 2 (t − t0)(r − r0)coss + √ 3 2 (t − t0)coss 1 2 s + 1 2 (t − t0)(r − r0)− √ 3 6 (t − t0)+ √ 6 3 (r − r0) 1√ 2 s + 1√ 2 (t − t0)(r − r0)− 1√6(t − t0)− 1√ 3 (r − r0)   , where 0 Taking l(s)= m(s)= n(s)=1, and U(t,r)= (t − t0)(r − r0), V (t,r)= t − t0, W(t,r)= r − r0, with 0≤ r,t ≤ 1. keywords: curve cache: ijaa-2719.pdf plain text: ijaa-2719.txt item: #375 of 571 id: ijaa-2721 author: Nagalakshmi, S.; Suresh Kumar, G.; Madhavi, B. title: Solution for a System of First-Order Linear Fuzzy Boundary Value Problems date: 2023-01-23 words: 3920 flesch: 76 summary: References [1] Y. Barazandeh, B. Ghazanfari, Approximate Solution for Systems of Fuzzy Differential Equations by Variational Iteration Method, Punjab Univ. (2023), 21:4 13 [7] M.S. Hashemi, J. Malekinagad, H.R. Marasi, Series Solution of the System of Fuzzy Differential Equations, Adv. keywords: fuzzy cache: ijaa-2721.pdf plain text: ijaa-2721.txt item: #376 of 571 id: ijaa-2725 author: Oh, Miew Leng; Hang, See Pheng title: An Improved Finite Cloud Method With Uniformly Distributed Clouds and Enhanced Boundary Conditions date: 2023-02-27 words: 6400 flesch: 66 summary: Each cloud consists of a set of field nodes. The discrete form of RKPM is given as 𝑢𝑎 (𝑥,𝑦) = ∑𝑁𝐼(𝑥,𝑦) 𝑢𝐼 𝑁𝑃 𝐼=1 , (2.2) where 𝑁𝐼(𝑥,𝑦) = 𝐶(𝑥,𝑦,𝑥𝐼,𝑦𝐼) 𝜓(𝑥 − 𝑥𝐼,𝑦 − 𝑦𝐼) 𝑑𝑉I, 𝑢𝐼 is the nodal unknown for field node I and NP is the total number of field nodes in the domain Ω. Fixed RKPM is a special case of RKPM where the kernel is fixed at the central node (𝑥𝑘,𝑦𝑘) and hence produces a constant moment matrix, unlike classical RPKM, moving RPKM and multiple RPKM which generate moment matrices with entries comprised of functions of x and y. keywords: boundary; cloud; equation; field; interpolation; method; nodes; solution cache: ijaa-2725.pdf plain text: ijaa-2725.txt item: #377 of 571 id: ijaa-2726 author: Batiha, Iqbal M.; Chebana, Zainouba ; Oussaeif, Taki-Eddine ; Ouannas, Adel ; Jebril, Iqbal H. ; Shatnawi, Mutaz title: Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions date: 2023-04-10 words: 5447 flesch: 86 summary: The boundary conditions are integral conditions of the second type defined as: ∂u ∂x (0,t) = ∫ l 0 k(x,t)g(ut)(x,t)dx, t ∈ (0,T ) , ∂u ∂x (l, t) = ∫ l 0 k(x,t)h(ut)(x,t)dx, t ∈ (0,T ) , Int. Lu = ∂2u ∂t2 −a ∂2u ∂x2 = f (x,t), (3.1) with the initial conditions: `u = { u(x, 0) = ϕ (x) ut (x, 0) = ψ (x) , x ∈ (0, l) , and with the integral condition of the second type: ∂u ∂x (0,t) = ∫ l 0 k(x,t)g(ut)(x,t)dx, t ∈ (0,T ) , ∂u ∂x (l, t) = ∫ l 0 k(x,t)h(ut)(x,t)dx, t ∈ (0,T ) , where k(x,t) ≥ 0 keywords: 0,t; l2(ω; problem cache: ijaa-2726.pdf plain text: ijaa-2726.txt item: #378 of 571 id: ijaa-2727 author: Nguyen, Nhu-Ty; Tran, Thanh-Tuyen; Huynh, Anh-Quan title: An Empirical Research on Customers’ Awareness of E-Commerce in the Context of Vietnamese Developing Economies date: 2023-03-13 words: 7036 flesch: 61 summary: The price of electronic goods on e-commerce cheaper than the price at the store Price 02 Using e-commerce services makes it easy for me to compare prices Price 03 Using e-commerce services helps me save on transport expenses to view the goods Price 04 2 Scale of Perceived Usefulness Code Research Question Conve_05 E-commerce service useful, saving time Conve_06 E-commerce shopping service that helped me find information about the product quickly Conve_07 Using e-commerce service helps me buy products anywhere Conve_08 keywords: analysis; appl; commerce; hypothesis; intention; model; online; price; research; risk; scale; service; use; variables cache: ijaa-2727.pdf plain text: ijaa-2727.txt item: #379 of 571 id: ijaa-2728 author: Reddy, G. Upender; Ushabhavani, C.; Rao, B. Srinuvasa title: Existence Fixed Point Solutions for C-Class Functions in Bipolar Metric Spaces With Applications date: 2023-02-01 words: 6376 flesch: 94 summary: Coupled fixed points was originally understood by Guo and Lakshmikantham References [1] D. Guo, V. Lakshmikantham, Coupled Fixed Points of Nonlinear Operators With Applications, Nonlinear Anal.: Theory Methods Appl. 11 (1987), 623-632. keywords: max; metric; point cache: ijaa-2728.pdf plain text: ijaa-2728.txt item: #380 of 571 id: ijaa-2729 author: Alnaji, Lulah title: The Legitimacy of Admission Criteria in Predicting the Achievement of the Students in the Medical Colleges at the University of Hafr Al-Batin date: 2023-03-06 words: 3674 flesch: 63 summary: In order to give more comprehensive information on the greatest predictor of college students’ GPAs, several institutes conducted regional research. Descriptive Statistics This study was conducted at the University of Hafr Al-Batin, a public university with a predominance of female students. keywords: act; apt; fygpa; hsgpa; students cache: ijaa-2729.pdf plain text: ijaa-2729.txt item: #381 of 571 id: ijaa-273 author: Atto, E. J.; Assiamoua, V.S.K.; Mensah, Y. title: On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces date: 2014-04-25 words: 4259 flesch: 86 summary: Lq(M,ϕ,E; F ′) −→ (Lp(M,ϕ,E; F))′ u 7−→ Tu, such that 〈Tu,v〉 = sup ϕ(|x|)≤1,‖y‖E≤1 |〈u(x)(y),v(x)(y)〉|, where u ∈ Lq(M,ϕ,E,F ′), v ∈ (Lp(M,ϕ,E; F))′, and so: ∀x ∈ L1(M,ϕ),y ∈ E we have u(x)(y) ∈ F ′, v(x)(y) ∈ F. (1) Linearity and boundedness of T: We set a(x0,y0) = φ(x0)(y0) ∈ F, then there exist a linear functional b(x0,y0) ∈ F ′ such that 〈f,φ〉 = 〈b(x0,y0),a(x0,y0〉 > 0 Set Φ ∈ L∞(M,ϕ,E; F) as follow: Φ(x)(y) = { b(x0,y0) if (x,y) = (x0,y0) 0 if not keywords: operator; space; sup cache: ijaa-273.pdf plain text: ijaa-273.txt item: #382 of 571 id: ijaa-2732 author: Salleh, Zabidin title: Pairwise Semiregular Properties on Generalized Pairwise Lindelöf Spaces date: 2023-03-03 words: 5608 flesch: 84 summary: We prove that (i, j)-almost Lindelöf, pairwise almost Lindelöf, (i, j)-weakly Lindelöf and pairwise weakly Lindelöf are pairwise semiregular properties, on the contrary of each type of pairwise Lindelöf space which are not pairwise semiregular properties. Unlike all types of pairwise Lindelöf properties, the (i, j)-almost Lindelöf, pairwise almost Lindelöf, (i, j)-weakly Lindelöf and pairwise weakly Lindelöf properties are pairwise semiregular properties as we prove in the following theorems. keywords: lindelöf; pairwise; τ1,τ2 cache: ijaa-2732.pdf plain text: ijaa-2732.txt item: #383 of 571 id: ijaa-2734 author: Farei, Qais Al; Boulbrachene, Messaoud title: L∞-Convergence Analysis of a Finite Element Linear Schwarz Alternating Method for a Class of Semi-Linear Elliptic PDEs date: 2023-07-17 words: 7999 flesch: 85 summary: (2023), 21:71 Also, due to lemma 2.2, we have ũ12 ≤ Ũ 1 2 ≤ u 1 2 + 2Ch 2 |ln h| Now, putting α12 = ũ 1 2 − 2Ch 2 |ln h| , yields α12 ≤ u 1 2. (4.19) [4] A function û ∈ C2(Ω) is a supersolution of (3.1) if   −∆û ≥ f (û) in Ω û ≥ g on ∂Ω (3.3) Suppose that (3.1) has a subsolution ǔ and a supersolution û such that ǔ ≤ û on Ω. Define the sector A = {u ∈ C2(Ω̄); ǔ ≤ u ≤ û on Ω̄}. keywords: schwarz; solution; |ln; |ln h| cache: ijaa-2734.pdf plain text: ijaa-2734.txt item: #384 of 571 id: ijaa-2736 author: Mohamad, Daud; Abdul Wahid, Nur Hazwani Aqilah title: Hankel Determinant of Logarithmic Coefficients for Tilted Starlike Functions With Respect to Conjugate Points date: 2023-02-21 words: 3859 flesch: 80 summary: [2] S. Abdul Halim, Functions Starlike With Respect to Other Points, Int. [3] S.A.F.M. Dahhar, A. Janteng, A Subclass of Starlike Functions With Respect to Conjugate Points, Int. keywords: functions cache: ijaa-2736.pdf plain text: ijaa-2736.txt item: #385 of 571 id: ijaa-2738 author: Irguedi, Aida; Nisse, Khadidja; Hamani, Samira title: Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions date: 2023-03-03 words: 5738 flesch: 92 summary: ∫ t tk ( log t s )r−1 σ(s)ds s + 1 Γ(r) ∑k i=1 ∫ ti ti−1 ( log ti s )r−1 σ(s)ds s + ∑k i=1 ( log t ti ) Γ(r−1) ∫ ti ti−1 ( log ti s )r−2 σ(s)ds s + ∑k i=1 Ii (y(t − i )) + ∑k i=1 ti ( log t ti ) Īi (y(t − i )), if t ∈ (tk,tk+1], k = 1, ...,m, where c2 = T ∫T a %(s)ds− [ 1 Γ(r−1) ∫T tm ( log T s )r−2 σ(s) ds s + ∑m i=1 1 Γ(r−1) keywords: ds s; log; log t; s +; t s; t ti; γ(r cache: ijaa-2738.pdf plain text: ijaa-2738.txt item: #386 of 571 id: ijaa-2742 author: Alharbi, Turki D.; Elsayed, Elsayed M. title: On the Behavior of the Nonlinear Difference Equation yn+1 = Ayn−1 + Byn−3 + Cyn−1+Dyn−3/Fyn−3−E date: 2023-03-03 words: 4053 flesch: 75 summary: [32] E.M. Elsayed, B. Alofi, Stability Analysis and Periodictly Properties of a Class of Rational Difference Equations, MANAS J. Eng. 10 (2022), 203-210. https://doi.org/10.51354/mjen.1027797. (2023), 21:17 [8] M. R. S. Kulenovic and G. Ladas, Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman & Hall/ CRC Press, New York, (2001). keywords: anal; appl; behavior; difference; equation; order; solution cache: ijaa-2742.pdf plain text: ijaa-2742.txt item: #387 of 571 id: ijaa-2744 author: Tangjai, Wipawee; Wanichang, Kodchaphon; Srikao, Montathip; Kheawkrai, Punyanuch title: A Congruent Property of Gibonacci Number Modulo Prime date: 2023-03-13 words: 2887 flesch: 88 summary: If p = 5 and k ∈ N, then G pk−(p5) ≡ Gk−1 (mod p) if and only if one of the following holds: (1) {Gn}= {G(1,4)} and k ≡ 0 (mod 5) (2) {Gn}= {G(1,1)} and k ≡ 1 (mod 5) (3) {Gn}= {G(1,2)} and k ≡ 3 (mod 5). Proof. We show that a the gibonacci sequence satisfying G kp−(p5) ≡ Gk−1 (mod p) for all positive integer k and such odd prime p 6= 5 if and only if a ≡ b (mod p). keywords: mod cache: ijaa-2744.pdf plain text: ijaa-2744.txt item: #388 of 571 id: ijaa-2745 author: Thirupathi, Sivakumar; Thamaraiselvan, Nirmala title: Symbolic Algorithm for Inverting General k-Tridiagonal Interval Matrices date: 2023-03-13 words: 4270 flesch: 75 summary: tridiagonal interval matrix; K-tridiagonal interval matrix; interval LU factorization; generalized interval arithmetic; interval matrix determinant; interval matrix inversion. This paper presents efficient and reliable computational algorithms for determining the determinant and inverse of general k-tridiagonal interval matrices built on generalized interval arithmetic. keywords: 0,0; interval; matrix; tridiagonal cache: ijaa-2745.pdf plain text: ijaa-2745.txt item: #389 of 571 id: ijaa-2748 author: Ahn, Sun Shin; Borzooei, Rajab Ali ; Jun, Young Bae title: The Prominentness of Fuzzy GE-Filters in GE-Algebras date: 2023-03-17 words: 5075 flesch: 88 summary: Let x,y ∈ X and ta,tb ∈ (0,1] be such that x ∈ (f ,ta)∈ and x ∗ y ∈ (f ,tb)∈. Then x ∗ (1 ∗ y) = x ∗ y ∈ (f ,tb)∈ by (GE2), and so Int. Let x,y ∈ X and t ∈ (0,1] be such that x ∗ y ∈ (f ,t)∈. Since f is a prominent fuzzy GE-filter of X := (X,∗,1), it follows from (3.2) that ((y ∗ x) ∗ x) ∗ y ∈ (f ,t)∈, and therefore (f ,t)∈ is a prominent GE-filter of X := (X,∗,1) for all t ∈ (0,1] by Lemma 3.3. keywords: filter; fuzzy cache: ijaa-2748.pdf plain text: ijaa-2748.txt item: #390 of 571 id: ijaa-2750 author: Aljuaid, Munirah title: The Möbius Invariant QTH Spaces date: 2023-03-13 words: 4085 flesch: 89 summary: As a special case when k ∈ H(D), the functions f ,g in the canonical decomosition of k are given by k = f and g ≡ 0. In this work, we consider all the functions defined on the open unit disk D := {η ∈ C : |η| < 1} so, the representaion of k is given by k = f + g keywords: harmonic cache: ijaa-2750.pdf plain text: ijaa-2750.txt item: #391 of 571 id: ijaa-2753 author: Gaketem, Thiti; Prommai, Tanaphong title: Quasi-Ideals and Bi-Ideals of Near Left Almost Rings date: 2023-03-27 words: 2416 flesch: 92 summary: If B is a bi-ideal of N then Bn and n′B are bi-ideals of N where n,n′ ∈N and n′ is a distributive element in N. Proof. Let N be a near almost field then {0} and N are the only bi-ideals of N. For if 0 6= B is a bi-ideal of N, then for 0 6= b ∈B we get N = keywords: ideal; nla; ring cache: ijaa-2753.pdf plain text: ijaa-2753.txt item: #392 of 571 id: ijaa-2754 author: Sanpan, Hataikhan; Kitpratyakul, Pongsakorn; Lekkoksung, Somsak title: On Hybrid Pure Hyperideals in Ordered Hypersemigroups date: 2023-05-22 words: 6049 flesch: 84 summary: Let H be an ordered hypersemigroup and f = (f ∗, f +) a hybrid hyperideal in H over U. Let f =(f ∗, f +) and g =(g∗,g+) be hybrid structures in H over U. Then the hybrid intersection of f and g is denoted by f eg and is defined to be a hybrid structure f eg : H →P(U)× I,x 7→ ((f ∗ ∩g∗)(x),(f keywords: hybrid; hyperideal; right cache: ijaa-2754.pdf plain text: ijaa-2754.txt item: #393 of 571 id: ijaa-2755 author: Zeghbib, Fatima Zohra; Bounaama, Abir; Maouni, Messaoud; Zeghdoudi, Halim title: Asymptotic Behavior of Some Parabolic Equations and Application in Image Restoration date: 2023-03-17 words: 4817 flesch: 83 summary: Let Ω be an abounded open subset of RN, T > 0, and set Q = Ω × (0,T ). And let Q be the cylinder Ω × (0,T ) with some given T > 0. keywords: appl; dxdt; image cache: ijaa-2755.pdf plain text: ijaa-2755.txt item: #394 of 571 id: ijaa-2756 author: Ahmad, Mobin; Gazala; Al-Shabrawi, Maha Atif title: A Note on LP-Kenmotsu Manifolds Admitting Conformal Ricci-Yamabe Solitons date: 2023-04-03 words: 3828 flesch: 87 summary: (2023), 21:32 Now by equating (4.7) and (4.8), then putting F = ζ and using (2.1), (2.9), we find ζ(v) By putting E = F = ζ in (4.11) and using (2.7), we obtain Λ = ρn(n− 1) 2 −σ(n− 1) + 1 2 (p + 2 n ). keywords: ricci cache: ijaa-2756.pdf plain text: ijaa-2756.txt item: #395 of 571 id: ijaa-2760 author: Bennoui, Abdelhamid; Barrouk, Nabila; Redjouh, Mounir title: Generalized Result on Global Existence of Weak Solutions for Parabolic Reaction-Diffusion Systems date: 2023-03-26 words: 8975 flesch: 89 summary: So for t ≥ δ, we have ‖S (λ) w (t) −w (t)‖ ≤ ∫ t δ ‖S (λ + s) −S (s)‖L(X) ‖F (s, .,w (s) ,∇w (s))‖ds +2 ∫ t t−δ ‖F (s, .,w (s) ,∇w (s))‖ds. We define the application L by L : (w0,h) 7→ Sd (t) w0 + ∫ t 0 keywords: −tk cache: ijaa-2760.pdf plain text: ijaa-2760.txt item: #396 of 571 id: ijaa-2761 author: Raghav, Yashpal Singh title: Neutrosophic Generalized Exponential Robust Ratio Type Estimators date: 2023-05-01 words: 6250 flesch: 75 summary: = −�̅�𝑁 + �̅�𝑁 θ𝑜2𝜉02 + 𝑜1(�̅�𝑁 + 3 2 �̅�𝑁 𝜃 2𝜉02 − �̅�𝑁 𝜃𝜉11), (4.2) 𝑀𝑆𝐸 (𝑡𝑝𝑁 𝐺 ) 𝑒𝑥𝑝( �̅�𝑁HL +TM �̅�𝑁HL+TM − 1) (4.7) The bias and 𝑀𝑆𝐸𝑜𝑝𝑡 are 𝐵𝑖𝑎𝑠(𝑡𝑝𝑁 𝐺1 ) = −�̅�𝑁 + �̅�𝑁 𝜃1𝑜2𝑜𝑝𝑡 𝜉02 + 𝑜1𝑜𝑝𝑡 (�̅�𝑁 + 3 2 �̅�𝑁 𝜃1 2𝜉02 − �̅�𝑁 𝜃1𝜉11), (4.8) 𝑀𝑆𝐸 (𝑡𝑝𝑁 𝑜𝑝𝑡 𝐺1 ) = �̅�𝑁 24𝜉211+𝜉02𝜃1 4𝜉202−4𝜃1 2𝜉211+4(−1+𝜃1 2𝜉02)𝜉20 4𝜉211−𝜉02(1+𝜉20) , (4.9) where 𝑜1𝑜𝑝𝑡 = 𝜉02(2−𝜃1 2𝜉02) 2(−𝜉211+𝜉02(1+𝜉20)) , (4.10) 𝑜2𝑜𝑝𝑡 keywords: 𝐺1 𝑀𝑆𝐸(𝐿; 𝐺1 𝑅𝐸(𝐿; 𝑁 −; 𝑁 𝑀𝑆𝐸(𝐿; 𝑁 𝑅𝐸(𝐿; 𝑁 𝑈; 𝑅 𝑁; 𝑜1𝑜𝑝𝑡 𝑈 cache: ijaa-2761.pdf plain text: ijaa-2761.txt item: #397 of 571 id: ijaa-2762 author: Iampan, Aiyared; Alayakkaniamuthu, R. ; Gomathi Sundari, P.; Rajesh, N. title: Intuitionistic Hesitant Fuzzy UP (BCC)-Filters of UP (BCC)-Algebras date: 2023-03-17 words: 6972 flesch: 86 summary: Next, let x,y ∈ X be such that x,x · y ∈ U(h,π). An intuitionistic hesitant fuzzy set H = (h,k) on X is said to be an intuitionistic hesitant fuzzy BCC-filter of X if the following conditions are hold: (∀x ∈ X) ( h(0) ⊇ h(x) k(0) ⊆ k(x) ) (3.2) (∀x,y ∈ X) ( h(y) ⊇ h(x ·y) ∩h(x) k(y) ⊆ k(x ·y) ∪k(x) ) (3.3) Int. keywords: bcc; fuzzy cache: ijaa-2762.pdf plain text: ijaa-2762.txt item: #398 of 571 id: ijaa-2763 author: Taher, Mardeen Sh.; Shareef , Salah G. title: A Combined Conjugate Gradient Quasi-Newton Method with Modification BFGS Formula date: 2023-04-03 words: 4861 flesch: 77 summary: HMBFGSk+1 ỹk = Hkỹ − Hkỹkv T k ỹ ỹT k vk − vkỹ T k Hkỹk ỹT k vk + vkỹ T k Hkỹv T k ỹk (ỹT k vk) 2 + vkv T k vT k ỹk ỹk. We prove by induction, at k =0, d0 =−H0g0, so we have dT0 g0 ≤−g T 0 H0g0, (5.17) where H0 = I, g0 6=0 , and −gT0 H0g0 < 0. keywords: method; t k; ỹk cache: ijaa-2763.pdf plain text: ijaa-2763.txt item: #399 of 571 id: ijaa-2767 author: Vasuki, M.; Kumar, P. Senthil; Rajesh, N. title: On Anti-Q-Fuzzy Deductive Systems of Hilbert Algebras date: 2023-05-09 words: 7625 flesch: 94 summary: ∗y,q ∈ I for all x ∈ H, y ∈ I, (3) (y2 ∗ (y1 ∗x)) Q → [0, 1] is defined by (µ × δ)((x,y),q) = max{µ(x,q),δ(y,q)} for all x ∈ A, y ∈ B and q ∈ keywords: fuzzy; q ∈; system; µ(x cache: ijaa-2767.pdf plain text: ijaa-2767.txt item: #400 of 571 id: ijaa-2770 author: Alghamdi, Amani S.; Alghamdi, Huda; Fayomi, Aisha title: The New Dagum-X Family of Distributions: Properties and Applications date: 2023-05-15 words: 7974 flesch: 74 summary: As mentioned earlier, Dagum distribution has received interest from researchers because of its competition with other models. Different extensions that include Dagum distribution have been proposed and developed using different approaches in attempt to provide more flexibility in fitting data. keywords: dagum; distribution; family; g(x cache: ijaa-2770.pdf plain text: ijaa-2770.txt item: #401 of 571 id: ijaa-2771 author: Iampan, Aiyared; Alayakkaniamuthu, R.; Gomathi Sundari, P.; Rajesh, N. title: Derivations of Hilbert Algebras date: 2023-05-01 words: 3470 flesch: 80 summary: In a commutative Hilbert algebra X =(X, ·,1), the following statements hold: (1) if d is an (l, r)-derivation of X and for any x,y ∈ X is such that y ≤ x and y ∈ Kerd(X), then x ∈Kerd(X), (2) if d is an (r, l)-derivation of X and for any x,y ∈ X is such that y ≤ x and y ∈ Kerd(X), then x ∈Kerd(X). (1) Assume that d is an (l, r)-derivation of X. Let x,y ∈ X be such that y ≤ x and y ∈Kerd(X). keywords: d(x; hilbert cache: ijaa-2771.pdf plain text: ijaa-2771.txt item: #402 of 571 id: ijaa-2774 author: Abdallah, Mohamed Ahmed; Ishag, Khaled Abdalla title: Fractional Reduced Differential Transform Method for Solving Mutualism Model with Fractional Diffusion date: 2023-04-10 words: 2902 flesch: 73 summary: − 0.5𝜋𝑥 − 2.5𝑥2 + 0.5𝑥𝑒𝑥) − 0.5𝜋𝑥 − 2.5𝑥2 + 0.5𝑥𝑒𝑥)− 1 Γ(2𝛼 + 1) 𝑡2𝛼 6 Int. keywords: axis; order cache: ijaa-2774.pdf plain text: ijaa-2774.txt item: #403 of 571 id: ijaa-2776 author: Beghersa, Norelhouda; Yazid, Fares title: On the Stability and Controllability of Degenerate Differential Systems in Hilbert Spaces date: 2023-04-10 words: 2789 flesch: 71 summary: = Φ(t,x(t)), where t ∈ R+ and A, B are linear bounded operators in Hilbert spaces, Φ is a given function. = x0, where A and B are linear bounded operators acting in the same Hilbert space H and Φ : keywords: operator; system cache: ijaa-2776.pdf plain text: ijaa-2776.txt item: #404 of 571 id: ijaa-2777 author: Wanishsakpong, Wandee; Sodrung, Kantima; Thongteeraparp, Ampai title: A Comparison of Nonparametric Statistics and Bootstrap Methods for Testing Two Independent Populations with Unequal Variance date: 2023-04-17 words: 3194 flesch: 68 summary: The performance of four tests: Yuen Welch test (YW), Brunner-Munzel test (BM), Bootstrap Yuen Welch test (BYW) and Bootstrap Brunner-Munzel (BBM) are studied and compared under the Laplace distribution and the lognormal distribution for testing the mean differences between two independent populations with unequal variance. Bootstrap Yuen Welch test (BYW). keywords: bootstrap; power; sample; test; welch; yuen cache: ijaa-2777.pdf plain text: ijaa-2777.txt item: #405 of 571 id: ijaa-2778 author: Gaketem, Thiti title: Bi-ideals and Weak Bi-ideals of Near Left Almost Rings date: 2023-04-24 words: 2265 flesch: 91 summary: By [4] a near-ring is a non-empty set N together with two binary operations “+” and “·” such that 〈N,+〉 is a group (not necessarily abelian), 〈N, ·〉 is a semigroup and one sided distributive (left or right) of “·” over “+” holds. [4] G. Pilz, Near rings, North-Holland, Amsterdam, 1977. keywords: ideal; nla; ring cache: ijaa-2778.pdf plain text: ijaa-2778.txt item: #406 of 571 id: ijaa-2779 author: Alnaji, Lulah title: Random and Fixed Effects Selection for Weighted Ridge date: 2023-05-01 words: 3715 flesch: 62 summary: Due to its unpredictable nature, which presents greater difficulties in estimating the variance-covariance matrix’s structure, random effects selection hasn’t garnered as much attention as fixed effects selection, as was previously indicated. For random effects selection, gender is selected by all approaches, while f itness is selected by SAW and WRidge methods, but smoking is selected by HARD only. keywords: effects; likelihood; linear; log; model; ridge; selection cache: ijaa-2779.pdf plain text: ijaa-2779.txt item: #407 of 571 id: ijaa-278 author: Yildiz, Çetin; Tunc, Mevlüt; Kavurmaci, Havva title: Inequalities for Co-ordinated m-Convex Functions via Riemann-Liouville Fractional Integrals date: 2014-02-08 words: 3974 flesch: 87 summary: From Lemma 1 and by applying the well-known Hölder inequality for double integrals, then one has∣∣∣∣f(a,c) + f(a,d) + f(b,c) + f(b,d)4 + B ∣∣∣∣ ≤ (b−a) (d− c) 4   1∫ 0 1∫ 0 [ |(1 − t)α − tα| ∣∣∣(1 −s)β By using the fact that |tα1 − t α 2 | ≤ |t1 − t2| α for α ∈ (0, 1] and t1, t2 ∈ [0, 1] , we get 1∫ 0 |(1 − t)α − tα|p dt ≤ 1∫ 0 |1 keywords: ∣∣∣∣ cache: ijaa-278.pdf plain text: ijaa-278.txt item: #408 of 571 id: ijaa-2783 author: Gherian, Safa; Azeb Ahmed, Abdelaziz; Yazid, Fares; Djeradi, Fatima Siham title: Frictional Contact Problem With Wear for Thermo-Viscoelastic Materials With Damage date: 2023-06-16 words: 6168 flesch: 79 summary: ≥ (S(ε(u(t)),ς(t),θ(t)),β − ς(t))L2(Ω), ∀ β ∈ K, (3.38) 〈θ̇(t),α〉 E ′×E + a(θ(t),α) = 〈Φ(ς(t),ε(u(t)),θ(t)),α〉E′×E + (q(t),α)L2(Ω), ∀ α ∈ E, a.e t ∈ (0,T ), (3.39) ẇ = kω‖v∗‖pν(uν −w), a.e. t ∈ (0,T ). (ς1 − ς2,ς1 − ς2)L2(Ω) a.e. t ∈ (0,T ). keywords: 0,t; anal; appl; contact; damage; problem; wear cache: ijaa-2783.pdf plain text: ijaa-2783.txt item: #409 of 571 id: ijaa-2784 author: Maroua, Mebarki; Nabila, Barrouk title: Asymptotic Behavior of Solution for Coupled Reaction Diffusion System by Order m date: 2023-04-24 words: 4320 flesch: 88 summary: in Ω, (0.1) where Ω is an open bounded domain of class C1 in Rn, ui (t,x), i = 1,m, t ≥ 0, x ∈ Ω are real valued functions. keywords: ∂ui cache: ijaa-2784.pdf plain text: ijaa-2784.txt item: #410 of 571 id: ijaa-2788 author: Prommai, Tanaphong ; Gaketem, Thiti title: On Quasi-ideals and Bi-ideals in AG-Rings date: 2023-06-02 words: 2775 flesch: 94 summary: Let R be an AG-ring with left identity 1 and A is a right ideal of R. Then for a ∈ A,r ∈ R, we have ra = (1r)a = (ar)1 ∈ (AR)R ⊆ AR ⊆ A, where 1 is a left identity, that is ra [11, p.211] asserted that a commutative ring 〈R, +, ·〉, we can always obtain an AG-ring 〈R,⊕, ·〉 by defining, for a,b,c ∈ R, a ⊕b = b −a and a ·b is same as in the ring. keywords: ideal; ring cache: ijaa-2788.pdf plain text: ijaa-2788.txt item: #411 of 571 id: ijaa-2791 author: Khan, M. I.; Mustafa, Abdelfattah title: Powered Inverse Rayleigh Distribution Using DUS Transformation date: 2023-07-03 words: 4023 flesch: 79 summary: IR distribution finds enormous applications in survival analysis. Various properties of IR distribution have been studied by [10]. keywords: distribution; dus; i=1; x−2α cache: ijaa-2791.pdf plain text: ijaa-2791.txt item: #412 of 571 id: ijaa-2796 author: Sharma, Shallu; Pooja Saproo; Iqbal Kour; Naresh Digra title: Fixed Point Theorems in Cone Metric Spaces via c-Distance Over Topological Module date: 2023-05-15 words: 3149 flesch: 82 summary: E. Then a map p : X ×X → E is said to be a c−distance on X if it satisfies the following conditions: (p1) p(x,y) ≥P 0E ∀ x,y ∈ X; (p2) p(x,z) ≤P p(x,y) + p(y,z) ∀ x,y,z ∈ X; (p3) d(x,z) + d(z,y) ∀x,y ∈ X. keywords: point cache: ijaa-2796.pdf plain text: ijaa-2796.txt item: #413 of 571 id: ijaa-2797 author: Mangapathi, N.; Rao, B. Srinuvasa; Rao, K.R.K.; Pasha, M.I. title: Existence of Solutions via C-Class Functions in Ab-Metric Spaces With Applications date: 2023-06-16 words: 6031 flesch: 93 summary: +Ab (f T (ıp, p), f T (ıp, p), ........, (f T (ıp, p))n−1,T (f ıp, f p)) ) ≤ (n− 1)bAb (fℵ, fℵ, ........, (fℵ)n−1, f T (ıp, p)) +b2Ab (T (f ıp, f p),T (f ıp, f p), ........, (T (f ıp, f p))n−1, f T (ıp, p)) keywords: metric; point cache: ijaa-2797.pdf plain text: ijaa-2797.txt item: #414 of 571 id: ijaa-280 author: Anguraj, A.; Kasthuri, M.; Karthikeyan, P. title: Integral Boundary Value Problems for Fractional Impulsive Integro Differential Equations in Banach Spaces date: 2014-02-08 words: 4095 flesch: 85 summary: y1 + ∫ t 0 (t−s)α−1 Γ(α) y(s)ds + t α−1 Γ(α)(T−A) [ ∑m i=1 ai Γ(2α−1) ∫ ξi 0 (ξi −s)2α−2y(s)ds− ∫T 0 (T −s)y(s)ds ] , for t ∈ (t1, t2) = 1 Γ(α) ∫ t 0 (t−s)α−1y(s)ds, provided the right side is pointwise defined on (0,∞), where Γ(·) is the Gamma function. keywords: i=1; γ(α cache: ijaa-280.pdf plain text: ijaa-280.txt item: #415 of 571 id: ijaa-2800 author: Tran, Tuong-Vi Thi; Ho, Quang Nhut; Nguyen, Nhu-Ty; Le, Truong-Phuc; Nguyen, Hoai-Anh Duc title: Investigation Factors of Brand Personality Affecting on Purchase Intentions Towards Authentic Agricultural Products in Vietnam date: 2023-07-17 words: 6172 flesch: 52 summary: brand personality, purchase intention, brand equity, consumer preference. Multiple regression demonstrated the factors of brand personality, brand equity; brand authenticity are important predictors of consumer purchase intention for authentic agricultural products. keywords: anal; authenticity; brand; brand equity; brand personality; consumer; customer; equity; intention; personality; preference; product; purchase; study; value cache: ijaa-2800.pdf plain text: ijaa-2800.txt item: #416 of 571 id: ijaa-2802 author: Kankarej, Manisha M.; Singh, Jai P. title: Fractional Vector Cross Product in Euclidean 3-Space date: 2023-05-09 words: 3606 flesch: 86 summary: In this research we have defined a new fractional vector cross product named as β fractional vector cross product and further discussed properties of Euclidean norm, fractional triple vector cross product, curl and divergence of fractional vector cross product. In this research a new definition of fractional vector cross product of two vectors in Euclidean 3-space is presented. keywords: cross; product; vector cache: ijaa-2802.pdf plain text: ijaa-2802.txt item: #417 of 571 id: ijaa-281 author: Choudhury, Binayak S.; Kumar, L.; Som, T.; Metiya, N. title: A Weak Contraction Principle in Partially Ordered Cone Metric Space with Three Control Functions date: 2014-08-28 words: 4907 flesch: 88 summary: [15] W. S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. [23] Z. Kadelburg, M. Pavlović, S. Radenović, Common fixed point theorems for ordered contrac- tions and quasicontractions in ordered cone metric spaces, Comput. keywords: cone; metric cache: ijaa-281.pdf plain text: ijaa-281.txt item: #418 of 571 id: ijaa-2813 author: Nagalakshmi, S.; Kumar, G. Suresh; Agarwal, Ravi P.; Wang, Chao title: An Algorithm for the Solution of Second Order Linear Fuzzy System With Mechanical Applications date: 2023-07-27 words: 5615 flesch: 82 summary: Since [f (t)]λ = [ fλl (t), f λ r (t) ] , then fgr(t,λ,αg)= fλl (t)+(f λ r (t)−fλl (t))αf , where λ, αf ∈ [0,1]. If [uλi l,u λ i r ], i = 1,2, · · · ,n are λ-level sets of ui, then proof will be complete. keywords: α1,α2 cache: ijaa-2813.pdf plain text: ijaa-2813.txt item: #419 of 571 id: ijaa-2817 author: Dibes, Abdelkader ; Bouzettouta, Lamine; Abdelli, Manel; Zitouni, Salah title: Well-Posedness and Exponential Stability of the Von Kármán Beam With Infinite Memory date: 2023-06-08 words: 5397 flesch: 88 summary: g : R+ → R+ is a C1 function satisfying g(0) > 0, δ − ∫ ∞ 0 g(s)ds = l > 0, ∫ ∞ 0 g(s)ds = g0. [( ux + 1 2 (wx) 2 )] x + g0uxx − ∫∞ 0 g(s)ηtxxds = 0, ηtt + η t s −ut = 0. (2.1) With g0 = ∫ ∞ 0 g(s)ds. keywords: − ∫; ∫ l cache: ijaa-2817.pdf plain text: ijaa-2817.txt item: #420 of 571 id: ijaa-2822 author: Beghersa, Nor El-Houda; Benabdallah, Mehdi; Hariri, Mohamed title: On the Exponential Stability of the Implicit Differential Systems in Hilbert Spaces date: 2023-06-16 words: 2595 flesch: 73 summary: Quasi-linear systems Using the same way for demonstration of Theorem 3.1, we can prove the following theorem: Theorem 4.1. Then, the quasi-linear system 1.1 is also exponential with the constants: α1 = α+γM, M1 = M. (4.2) This result represents the generalization of the famous Liapounov theorem on the stability by the first approximation for quasi-linear systems. keywords: linear; operator; system cache: ijaa-2822.pdf plain text: ijaa-2822.txt item: #421 of 571 id: ijaa-2824 author: Hasanov, Mahir title: A PDE Approach to the Problems of Optimality of Expectations date: 2023-06-23 words: 3049 flesch: 87 summary: If F (x,x) = 0 and y = E[X] is a critical point of the function E[F (X,y)] for all X ∈ L1(Ω), then F (x,y) can be written in the form F (x,y) = f (x) − f (y) − f ′(y)(x − y) for a differentiable function f . = Df (x,y) is a BLF, Df (E[X],y) = 0 ⇔ y = E[X]. keywords: ϕ−1(y cache: ijaa-2824.pdf plain text: ijaa-2824.txt item: #422 of 571 id: ijaa-2825 author: Hammad, Ma'mon Abu; Jebril, Iqbal; Khalil, Roshdi title: Large Fractional Linear Type Differential Equations date: 2023-07-10 words: 2681 flesch: 71 summary: This paper aims to handle some types of fractional differential equations with a fractional- order values β > 1. A large number of applications that arise naturally in many fields of science and engineering might be described by fractional differential equations. keywords: appl; equations; solution cache: ijaa-2825.pdf plain text: ijaa-2825.txt item: #423 of 571 id: ijaa-2826 author: Elmossaoui, Hichem; Oukid, Nadia title: New Computer Experiment Designs Using Continuum Random Cluster Point Process date: 2023-06-08 words: 5094 flesch: 70 summary: In this section, we will compare the quality of point distributions in the proposed designs using standard criteria to evaluate the degree of filling of the experimental space and the quality of the uniform distribution. design of experiments; computer experiment designs; point process; continuum random cluster model; connected component process; Markov point processes; nearest-neighbour Markov point process; Strauss process; Markov Chain Monte Carlo (MCMC). keywords: designs; distribution; point; process; 𝑃𝑀𝐻; 𝑧)𝑑𝑧 𝛺 cache: ijaa-2826.pdf plain text: ijaa-2826.txt item: #424 of 571 id: ijaa-2830 author: Dhiliban, J. Robert; Eldred, A. Anthony title: Strong and ∆-Convergence of a New Iteration for Common Fixed Points of Two Asymptotically Nonexpansive Mappings date: 2023-07-03 words: 4387 flesch: 85 summary: [9] in an attempt to obtain a faster rate of convergence, modified the above iteration process (1.1) as following:   x1 ∈ K xn+1 = (1 −αn)Tnxn + αnTnyn yn = (1 −βn)xn + βnTnxn, n ≥ 1 (1.2) We define the following iteration:  x1 = x ∈ K xn+1 = W (S nxn,T nyn,αn) yn = W (xn,S n(Tnxn),βn), n ≥ 1 (3.1) Lemma 3.1. keywords: d(xn; lim; n→∞ cache: ijaa-2830.pdf plain text: ijaa-2830.txt item: #425 of 571 id: ijaa-2832 author: Srikanya, G.; Babu, G. Prakasam; Rao, K. Ramanuja; Raj, Ch. Santhi Sundar title: Fuzzy Initial and Final Segments in ADL’s date: 2023-07-10 words: 3897 flesch: 88 summary: However, in the following we establish a set of equivalent conditions for the point wise infimum of any family of fuzzy final segments to be fuzzy final segment and inturn it is equivalent to saying that the set of all fuzzy final segments form a complete lattice. ADL; Fuzzy initial segment; Fuzzy final segment; Frame. https://doi.org/10.28924/2291-8639-21-2023-67 ISSN: 2291-8639 © 2023 the author(s). keywords: fuzzy; segment cache: ijaa-2832.pdf plain text: ijaa-2832.txt item: #426 of 571 id: ijaa-2834 author: Çelik, Elçin; Uçar, Deniz title: Analysis of the Logistic Growth Model With Taylor Matrix and Collocation Method date: 2023-06-23 words: 2624 flesch: 65 summary: logistic growth model; COVID 19; Taylor polynomials and series; collocation points. This mathematical model devel- oped by Verhulst is called logistic differential equation. keywords: growth; method; model; numbers cache: ijaa-2834.pdf plain text: ijaa-2834.txt item: #427 of 571 id: ijaa-2835 author: Sharma, Sandeep; Singh, Kuljeet title: Some Aspects of Rectifying Curves on Regular Surfaces Under Different Transformations date: 2023-07-27 words: 4359 flesch: 76 summary: [5, 12, 13], they studied the geometric invariants of normal curves under conformal transformation in the Euclidean space E3. In [5],the author explored the behaviour of the normal and tangential components of the normal curves under the same motion as well as the invariant characteristics of normal curves under conformal transformation. keywords: curve; form; rectifying; surfaces; δ(r cache: ijaa-2835.pdf plain text: ijaa-2835.txt item: #428 of 571 id: ijaa-2836 author: Longhas, Paul Ryan A.; Abdul, Alsafat M.; Baccay, Edcon B. title: The Security Assignment Problem and Its Solution date: 2023-07-17 words: 6023 flesch: 80 summary: The main goal of this study is to give a new method that can be applied in solving security assignment problems. Also, we proved that there always exists a Pseudo-solution in security assignment problems, and if the solution exists, then the Pseudo-solution will coincide with it. keywords: assignment; e∈e; problem; security; solution cache: ijaa-2836.pdf plain text: ijaa-2836.txt item: #429 of 571 id: ijaa-2837 author: Rathee, Savita; Narwal, Yogeeta title: On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations date: 2023-08-04 words: 6148 flesch: 89 summary: −F(s,κ(s))|ds −p P1−σ Ψ (t, 0) Γ(ν2) ∫ t 0 Wν2−1 Ψ (t,s)|κn(s) −κ(s)|ds } . + P1−σΨ (t, 0)Γ(ν1 + ν2) ∫ t 0 Wν1+ν2−1 Ψ (t,s)|F(s,κ(s))|ds + pP1−σ Ψ (t, 0) Γ(ν2) ∫ t 0 Wν2−1 Ψ (t,s)|κ(s)|ds } , ≤N {∣∣∣∣ κ0G(0,κ(0)) keywords: p1−σψ; γ(ν2; κ(t; ∣∣∣∣ cache: ijaa-2837.pdf plain text: ijaa-2837.txt item: #430 of 571 id: ijaa-2838 author: ishtiaq, Umar; Saeed, Muhammad; Ahmad, Khaleel; Shokat, Ilsa; De la Sen, Manuel title: Certain Fixed-Point Results via DS-Weak Commutativity Condition in Neutrosophic Metric Spaces With Application to Non-linear Fractional Differential Equations date: 2023-07-27 words: 5541 flesch: 86 summary: If there exist a positive real number 𝑅 then the mappings are called (𝐷𝑆𝑄)-w-commuting at 𝜛 ∈ 𝛯 such that 𝔅(𝑄𝑈𝜛,𝑈𝑈𝜛,𝜏) ≥ 𝔅(𝑄𝜛,𝑈𝜛, 𝜏 𝑅 ), 𝔒(𝑄𝑈𝜛,𝑈𝑈𝜛,𝜏) If there exists a positive real number 𝑅, then the mappings 𝑄 and 𝑈 are called (𝐷𝑆𝑈)-w-commuting at 𝜛 ∈ 𝛯 such that 𝔅(𝑈𝑄𝜛,𝑄𝑄𝜛,𝜏) ≥ 𝔅(𝑄𝜛,𝑈𝜛, 𝜏 𝑅 ), 𝔒(𝑈𝑄𝜛,𝑄𝑄𝜛,𝜏) ≤ 𝔒(𝑄𝜛,𝑈𝜛, 𝜏 𝑅 ), 𝔖(𝑈𝑄𝜛,𝑄𝑄𝜛,𝜏) ≤ 𝔖(𝑄𝜛,𝑈𝜛, 𝜏 𝑅 ). keywords: 𝛯,𝔅,𝔒,𝔖,∗; 𝜏 𝑅; 𝜛,𝜔 cache: ijaa-2838.pdf plain text: ijaa-2838.txt item: #431 of 571 id: ijaa-2844 author: Ali, Eltiyeb title: A Note on Skew Generalized Power Serieswise Reversible Property date: 2023-07-17 words: 6359 flesch: 81 summary: For each element d ∈ R and each element t ∈ S, we have the elements cd and et in [[RS,≤,ω]] defined by cd(λ) =   d, λ = 1, 0, λ (1) Let e be an idempotent element of R. For any g(v) ∈ R,v ∈ S,eg(v) keywords: monoid; ring; ω)-nil cache: ijaa-2844.pdf plain text: ijaa-2844.txt item: #432 of 571 id: ijaa-2846 author: Nakkhasen, Warud; Chinram, Ronnason; Iampan, Aiyared title: On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups date: 2023-07-27 words: 6141 flesch: 79 summary: 6= ∅ for every x,y ∈ S, (ii) (K] ⊆ K. Then, (S, Γ) is called a Γ-semihypergroup if for each γ ∈ Γ is a hyperoperation on S, i.e., xγy ⊆ S for all x,y ∈ S, and for any α,β ∈ Γ and x,y,z ∈ S, (xαy)βz = xα(yβz). keywords: hyperideal cache: ijaa-2846.pdf plain text: ijaa-2846.txt item: #433 of 571 id: ijaa-2848 author: Ahmad, Mukhtar; Hussain, Muhammad Jafar; Atta, Gulnaz; Raza, Sajid; Waheed, Irfan; Qayyum, Ather title: Topological Evaluation of Four Para-Line Graphs Absolute Pentacene Graphs Using Topological Indices date: 2023-07-10 words: 4703 flesch: 76 summary: Topological indices, or molecular descriptors, provide insights into the physicochemical properties of molecules. topological indices; graphs of four para-lines; nanostructures; pentacene. keywords: edges; graph; index; indices cache: ijaa-2848.pdf plain text: ijaa-2848.txt item: #434 of 571 id: ijaa-2854 author: Gana, Sameh title: Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems date: 2023-08-09 words: 3608 flesch: 64 summary: Some eigenfunctions of the Sturm Liouville problem in example 1 with n = 1, 20, 50, 100. Some eigenfunctions of the Sturm Liouville problem for Example 2 with n = 10, 30, 50, 100 and d =10 Example 3: We consider the Sturm-Liouville eigenvalue problem − d2y dx2 = λ (1+x)2 y (3.7) with the boundary conditions y(0)= y(1)= 0. keywords: anal; chebfun; collocation; eigenvalues; liouville; numerical; problem cache: ijaa-2854.pdf plain text: ijaa-2854.txt item: #435 of 571 id: ijaa-2856 author: Saeed, Muhammad ; Ishtiaq, Umar ; Kattan, Doha A. ; Ahmad, Khaleel ; Sessa, Salvatore title: New Fixed Point Results in Neutrosophic b-Metric Spaces With Application date: 2023-07-27 words: 7478 flesch: 88 summary: An open ball 𝐵(𝜔, 𝑟, 𝜄) with the center 𝜔 ∈ 𝜁 and radius 𝑟, 0 < 𝑟 < 1, and 𝜄 > 0 is defined as 𝐵(𝜔, 𝑟, 𝜄) = {𝜐 ∈ 𝜁: 𝑀(𝜔, 𝑟, 𝜄) > 1 (ii) An element 𝜐 ∈ 𝜁 is said to be a c-point of ∆ and 𝜎 if there exists 𝜔 ∈ 𝜁 such that if 𝜐 = ∆(𝜔) = 𝜎(𝜔). keywords: 𝑂,∗,∘ cache: ijaa-2856.pdf plain text: ijaa-2856.txt item: #436 of 571 id: ijaa-2862 author: Elkahlout, Gamal R. title: A Class of Tests for Testing Better Failure Rate at Specific Age Distribution With Randomly Right Censored Data date: 2023-08-04 words: 4679 flesch: 76 summary: Gamma distribution: F t x e dx t t x ( ) ( ) , , ,=   − −   1 0 0 1     (5.1) ( ) r t ut e u du − = + − −  1 1 1 0 ( ) ( )  Weibull distribution: The power estimates of 𝐵𝐹𝑅 − 𝑡0 statistic for Gamma distribution increases more rapidly as  increases than the other distributions, namely, Weibull, Pareto, and Rayleigh. keywords: life; test; 𝐵𝐹𝑅 −; 𝑊𝐹𝑅 cache: ijaa-2862.pdf plain text: ijaa-2862.txt item: #437 of 571 id: ijaa-2863 author: Boonpok, Chawalit; Thongmoon, Montri title: Some Properties of Generalized (Λ, α)-Closed Sets date: 2023-08-16 words: 5194 flesch: 92 summary: A topological space (X,τ) is said to be (Λ,α)-regular if for each (Λ,α)-closed set F of X not containing x, there exist disjoint (Λ,α)-open sets U and V such that x ∈ U and F ⊆ V . For a topological space (X,τ), the following properties are equivalent: (1) (X,τ) is (Λ,α)-regular. (2) For each x ∈ X and each U ∈ ΛαO(X,τ) with x ∈ U, there exists V ∈ ΛαO(X,τ) such that x ∈ V ⊆ V (Λ,α) ⊆ U. (3) For each (Λ,α)-closed set F of X, ∩{V (Λ,α) | F ⊆ V ∈ ΛαO(X,τ)} = F. (4) For each subset A of X and each U ∈ ΛαO(X,τ) with A∩U 6= ∅, there exists V ∈ ΛαO(X,τ) such that A∩V 6= ∅ and V (Λ,α) ⊆ U. (5) For each nonempty subset A of X and each (Λ,α)-closed set F of X with A∩F = ∅, there exist V,W ∈ ΛαO(X,τ) such that A∩V 6= ∅, F ⊆ W and V ∩W = ∅. (6) For each (Λ,α)-closed set F of X and x 6∈ F, there exist U ∈ ΛαO(X,τ) and a g-(Λ,α)-open set V such that x ∈ U, F ⊆ V and U ∩V keywords: α)-closed cache: ijaa-2863.pdf plain text: ijaa-2863.txt item: #438 of 571 id: ijaa-2865 author: Rafi, N.; Monikarchana, Y.; Bandaru, Ravikumar; Iampan, Aiyared title: On Prime E-ideals of Almost Distributive Lattices date: 2023-08-09 words: 13763 flesch: 97 summary: Then a ∧ x ∈ E, for all a ∈ R. That implies x ∧ x ∈ E. (3) Let x ∈ E. Then y ∧ x ∈ E, for all y ∈ R. Then a ∧ x ∈ E, for all a ∈ S ⊆ R. That implies x ∈ (S,E). keywords: ideal; prime cache: ijaa-2865.pdf plain text: ijaa-2865.txt item: #439 of 571 id: ijaa-2866 author: Oudetallah, Jamal ; Abu-Alkishik, Nabeela ; Batiha, Iqbal M. title: Nigh-Open Sets in Topological Space date: 2023-08-04 words: 2917 flesch: 84 summary: In [3], A. S. Salama et al. used a novel type of open sets called rough open set, which was used to define the so-called rough continuous functions. In this paper, we aim to introduce a new class of open sets namely nigh-open set. keywords: nigh; open; set cache: ijaa-2866.pdf plain text: ijaa-2866.txt item: #440 of 571 id: ijaa-2872 author: Said, Khalil title: Expectile-Based Capital Allocation date: 2023-07-27 words: 9462 flesch: 72 summary: The second subsection presents the contributions made by expectile allocation in the case of a common mixture model. This paper focuses on capital allocation using the Euler principle with Expectiles as risk measures. keywords: 2α−; allocation; bivariate; capital; expectile; model; risk cache: ijaa-2872.pdf plain text: ijaa-2872.txt item: #441 of 571 id: ijaa-2873 author: Shallu Sharma; Naresh Digra; Pooja Saproo; Tsering Landol title: On M∗-Irresolute Topological Rings date: 2023-08-09 words: 7014 flesch: 76 summary: U0 and an M∗-neighborhood U of zero in R such that U.W ⊆ V ; (N6′) for any subset V ∈ U0 and any element r ∈ R there exists a subset W ∈ U0 such that r.W ⊆ V ; (N7′) for any subset V ∈ Further, we provide several fundamental properties and characterizations of M∗-irresolute topological rings and M∗-irresolute topological R- modules. keywords: m∗-irresolute; m∗-open; ring; subset cache: ijaa-2873.pdf plain text: ijaa-2873.txt item: #442 of 571 id: ijaa-2874 author: Boonpok, Chawalit; Pue-on, Prapart title: Upper and Lower Weakly α-*-Continuous Multifunctions date: 2023-08-16 words: 3650 flesch: 80 summary: if, for each ?-open set V of Y such that F(x)⊆ V , there exists an α-?-open set U of X containing x such that F(U)⊆ Cl?(V ); (2) lower weakly α-?-continuous at a point x ∈ X if, for each ?-open set V of Y such that F(x)∩V 6= ∅, there exists an α-?-open set U of X containing x such that F(z)∩Cl?(V ) [7] A multifunction F : (X,τ, I)→ (Y,σ, J) is said to be: (1) upper almost α-?-continuous at a point x ∈ X if for each ?-open set V of Y such that F(x)⊆ V , there exists an α-?-open set U of X containing x such that F(U)⊆ Int?Cl(V ); (2) lower almost α-?-continuous at a point x ∈ X if for each ? keywords: -open; set cache: ijaa-2874.pdf plain text: ijaa-2874.txt item: #443 of 571 id: ijaa-2875 author: Kankaew, Pimwaree ; Yuphaphin, Sunisa ; Lapo, Nattacha ; Chinram, Ronnason ; Julatha, Pongpun ; Iampan, Aiyared title: Characteristic Picture Fuzzy Sets and Level Subsets in UP (BCC)-Algebras date: 2023-07-27 words: 14489 flesch: 97 summary: Assume that PG[r +,g+,b− r−,g−,b+ ] is a picture fuzzy BCC-filter of X. Since PG[r +,g+,b− r−,g−,b+ ] satisfies the condition (3.7), it follows from Lemma 3.2 that 0∈ G. Next, let x,y ∈ X be such that x ·y ∈ G and x ∈ G. Next, let x,y ∈ X be such that x ·y ∈ U(rP ;t) and x ∈ U(rP ;t). keywords: bcc; fuzzy; picture; rp(x; y ∈; z ∈; ∈ l(bp cache: ijaa-2875.pdf plain text: ijaa-2875.txt item: #444 of 571 id: ijaa-288 author: Qaisar, Shahid; He, Chuanjiang; Hussain, Sabir title: New Integral Inequalities through Invexity with Applications date: 2014-04-25 words: 3420 flesch: 81 summary: [a,b] → R be a four times continuously differentiable mapping on (a,b) and ∥∥f(4)∥∥∞ = sup x∈(a,b) ∣∣f(4) (x)∣∣ < [a,b] .then the following inequality holds, (1.2) ∣∣∣∣∣13 [ f(a)+f(b) 2 + 2f ( a+b 2 )] keywords: η(b cache: ijaa-288.pdf plain text: ijaa-288.txt item: #445 of 571 id: ijaa-2880 author: Thirupathi, Sivakumar; Thamaraiselvan, Nirmala title: A Symbolic Algorithm for Solving Doubly Bordered k-Tridiagonal Interval Linear Systems date: 2023-08-16 words: 5505 flesch: 80 summary: tridiagonal interval matrix; k-tridiagonal interval matrix; UL factorization; interval arithmetic; interval determinant; interval linear system. Main Results A tridiagonal interval matrix is a special type of interval matrix in which only the main diagonal and the two adjacent diagonals contain non-zero interval elements. keywords: 0,0; algorithm; interval; matrix cache: ijaa-2880.pdf plain text: ijaa-2880.txt item: #446 of 571 id: ijaa-2882 author: Saf, Salim; Messelmi, Farid title: Transmission Problem Between Two Herschel-Bulkley Fluids in a Three Dimensional Thin Layer date: 2023-08-22 words: 5859 flesch: 90 summary: Moreover, the fact that û1 = (û ε 11, û ε 12) ∈ L p (Ω1) 2 , û2 = (û ε 21, û ε 22) ∈ L p (Ω2) 2 and∫h(x,y) 0 û1(x,y,z)dz + ∫ 0 −h(x,y) û2(x,y,z)dz is continuous and linear, it is weakly continuous. Thus, by passage to the limit when ε tends to zero, taking into account the boundaries conditions (2.7) ,(2.8) and (2.9) it follows that∫ h(x,y) 0 ( ∂û11 ∂x + ∂û12 ∂y ) dz + ∫ 0 −h(x,y) ( ∂û21 ∂x + ∂û22 ∂y ) keywords: dxdydz; ωε1; ωε2 cache: ijaa-2882.pdf plain text: ijaa-2882.txt item: #447 of 571 id: ijaa-2888 author: Abu Hammad, Mamon; Jebril, Iqbal H.; Alshorm, Shameseddin; Batiha, Iqbal M.; Abu Hammad, Nancy title: Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula date: 2023-08-16 words: 3314 flesch: 65 summary: [7] E. Ucar, N. Ozdemir, E. Altun, Fractional Order Model of Immune Cells Influenced by Cancer Cells, Math. Model. Spatial models consider the spatial distribution of tumor cells, nutrients, oxygen, and other factors, allowing researchers to study the impact of spatial organization on tumor growth and treatment response. keywords: fem; model; numerical; order; system cache: ijaa-2888.pdf plain text: ijaa-2888.txt item: #448 of 571 id: ijaa-29 author: Saluja, G.S. title: Convergence Theorems of an Implicit Iterates with Errors for Total Asymptotically Pseudo-Contractive Mappings date: 2013-07-31 words: 3291 flesch: 81 summary: + un − p∥∥∥2 = αn〈xn−1 − p, j(xn − p)〉 + (1 −αn)〈T n n xn − p, j(xn − p)〉 +〈un, j(xn − p)〉 ≤ αn ∥∥∥xn−1 − p∥∥∥ ∥∥∥xn − p∥∥∥ + (1 −αn)[∥∥∥xn − p∥∥∥2 +µnφ( ∥∥∥xn − p∥∥∥)] + ∥∥∥xn − p∥∥∥ ,(2.10) which implies that d(p∗,F ) ≤ ∥∥∥xn − p∗∥∥∥ + d(xn,F ),(2.11) keywords: mappings cache: ijaa-29.pdf plain text: ijaa-29.txt item: #449 of 571 id: ijaa-299 author: Shukla, Satish; Radenovic, Stojan title: Presic-Boyd-Wong Type Results in Ordered Metric Spaces date: 2014-04-25 words: 5832 flesch: 92 summary: [35] S. Shukla, M. Abbas, Fixed point results of cyclic contractions in product spaces, Carpathian J. Math., In press (2014). [3] D. O’Regan, A. Petrusel, Fixed point theorems for generalized contractions in ordered metric spaces, J. Math. keywords: point cache: ijaa-299.pdf plain text: ijaa-299.txt item: #450 of 571 id: ijaa-301 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Awan, Muhammad Uzair title: Fractional Ostrowski Inequalities for s-Godunova-Levin Functions date: 2014-04-25 words: 2707 flesch: 83 summary: This class of convex function generalizes the class of Godunova-Levin functions and the class of P-functions. In this paper, we derive some new fractional Ostrowski type in- equalities for s-Godunova-Levin functions introduced by Dragomir [3, 4]. keywords: b−a cache: ijaa-301.pdf plain text: ijaa-301.txt item: #451 of 571 id: ijaa-32 author: Oyelami, Benjamin Oyediran; Ale, Sam Olatunji title: Application of E^p-Stability to Impulsive Financial Model date: 2013-07-31 words: 6572 flesch: 75 summary: + ∫ t 0 (f1s + a1(s)f1x + 1 2 b21(s)f1xx)ds + ∫ t 0 b1(s)f1xdw1(s) + ∑ t0 0, x ∈ Ω, (1.1) where r ≥ 2, ∂u ∂n is the outward normal derivative of u on the boundary ∂Ω assumed sufficiently smooth, Ω is a bounded star-shaped region in RN (N ≥ 2) and t∗ is the blow-up time if blow-up occurs, or else t∗ x ∈ Ω, (1.2) 2010 Mathematics Subject Classification. keywords: blow cache: ijaa-326.pdf plain text: ijaa-326.txt item: #454 of 571 id: ijaa-355 author: Pujari, Veena L. title: On the Meromorphic Solutions of Certain Nonlinear Difference Equations date: 2014-08-28 words: 3034 flesch: 92 summary: = a0f n +a1f n−1 +· · ·+an, where a0(6≡ 0),a1, · · · ,an are small functions of f(z). = λ < +∞, η 6= 0 be fixed, then for each � > 0, N(r,f(z + η)) keywords: f(z; s(r cache: ijaa-355.pdf plain text: ijaa-355.txt item: #455 of 571 id: ijaa-357 author: Abolarinwa, Abimbola title: A New Entropy Formula and Gradient Estimates for the Linear Heat Equation on Static Manifold date: 2014-08-28 words: 7604 flesch: 77 summary: Computing ( ∂ ∂t − ∆ ) log (M u ) = ( ∂ ∂t − ∆ ) log M − ( ∂ ∂t − ∆ ) log u = −|∇f|2 = −2〈∇f,∇ log u ) 〉 + |∇f|2 = 2〈∇f,∇ log (M u ) 〉 + |∇f|2. Combining Proposition 2.2 with the fact that �u = 0 and u∇f = −∇u, we have (∂t − ∆)(P�u) = (∂t − ∆)P� ·u + P�(∂t − ∆)u− 2〈∇P�,∇u〉 = − �2t 2π (∣∣∣fij − √π �t gij ∣∣∣2 + Rijfifj)u− 2〈∇P�,∇f〉u − ( 1 − �2 4π ) |∇f|2u− 2〈∇P�,∇u〉. keywords: heat cache: ijaa-357.pdf plain text: ijaa-357.txt item: #456 of 571 id: ijaa-36 author: Latif, Muhammad Amer; Hussain, Sabir title: Two-Point Fuzzy Ostrowski Type Inequalities date: 2013-08-17 words: 4374 flesch: 89 summary: For any a, b ∈ R, a, b ≥ 0 and u ∈ RF, we have D (a�u,b�u) ≤ |a− b|D(u,õ), where õ ∈ RF is defined by õ := X{0}. = |t−s0| α � u, 0 < α ≤ 1, with u ∈ RF fixed, keywords: d− c cache: ijaa-36.pdf plain text: ijaa-36.txt item: #457 of 571 id: ijaa-361 author: Guendouzi, Toufik; Bousmaha, Lamia title: Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations date: 2014-08-28 words: 6387 flesch: 79 summary: dt + ∞∑ k=−∞ Gk(x(t))δ(t−τk), t ∈ IR, where the state x(·) takes values in the space L2(IP,H), H is a separable real Hilbert space with inner product (·, ·) and norm ‖·‖; the fractional derivative cDα, α ∈ (0, 1), is understood in the Caputo sense; −A : D(A) For {τk} ∈ B, k ∈ Z, the function F(t,x) ∈ PC(IR × L2(IP,H),L2(IP,H)) is said to be square-mean piecewise almost periodic in t ∈ IR and uniform on compact subset of L2(IP,H)) if for every � > 0 keywords: equations; fractional; l2(ip cache: ijaa-361.pdf plain text: ijaa-361.txt item: #458 of 571 id: ijaa-363 author: Sharma, Ajay; Thakur, Balwant Singh title: Best Proximity Points for K- Proximal Contraction date: 2014-08-28 words: 2567 flesch: 80 summary: It is widely considered as the source of metric fixed point theory. [11] M.S. Khan, M. Swaleh and S. Sessa, Fixed point theorems by altering distances between the points, Bull. keywords: point cache: ijaa-363.pdf plain text: ijaa-363.txt item: #459 of 571 id: ijaa-365 author: Shah, F.A. title: p-Frame Multiresolution Analysis Related to the Walsh Functions date: 2015-01-21 words: 5483 flesch: 80 summary: [8] H. O. Kim and J. K. Lim, On frame wavelets associated frame multiresolution analysis, Appl. Suppose ϕ ∈ L2(R+) be a non-zero function with V0 = span{τkϕ : k ∈ Z+}. keywords: analysis; frame; l2(r+; multiresolution; walsh cache: ijaa-365.pdf plain text: ijaa-365.txt item: #460 of 571 id: ijaa-372 author: El Hamma, Mohamed; Daher, Radouan title: On Estimates for the Dunkl Transform in the Space L2,α(R) date: 2014-08-28 words: 2006 flesch: 85 summary: In L2,α(R), we define the operator of the generalized Dunkl translation (see [9]) Thf(x) = C( ∫ π 0 fe(G(x,h,ϕ))h e( x ,h,ϕ)sin2αϕdϕ + ∫ = O ( ∞∑ n=R n2m ∫ n+1 n |f̂(λ)|2|λ|2α+1dλ ) = O ( ∞∑ n=R n2m keywords: dunkl; |f̂(λ)|2|λ|2α+1dλ; |λ|≥r cache: ijaa-372.pdf plain text: ijaa-372.txt item: #461 of 571 id: ijaa-375 author: Prasad, K. R.; Krushna, B. M. B. title: Existence of Multiple Positive Solutions for p-Laplacian Fractional Order Boundary Value Problems date: 2014-08-28 words: 6319 flesch: 88 summary: (D1) {y ∈ P(γ,θ,α,a′,b′,c′) : α(y) > a′} 6= ∅ and α(Ty) > a′ for y ∈ P(γ,θ,α,a′,b′,c′), (D2) {y ∈ Q(γ,β,ψ,h′,d′,c′) : β(y) > d′} 6= ∅ and β(Ty) > d′ for y ∈ Q(γ,β,ψ,h′,d′,c′), (D3) α(Ty) > a′ provided y ∈ P(γ,α,a′,c′) with θ(Ty) > b′, (D4) β(Ty) < d′ provided y ∈ Q(γ,β,ψ,h′,d′,c′) with ψ(Ty) < keywords: fractional cache: ijaa-375.pdf plain text: ijaa-375.txt item: #462 of 571 id: ijaa-376 author: Saluja, G. S. title: Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces date: 2014-08-28 words: 3051 flesch: 80 summary: [13] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. [20] K.K. Tan and H.K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. keywords: mappings cache: ijaa-376.pdf plain text: ijaa-376.txt item: #463 of 571 id: ijaa-377 author: Gupta, Animesh; Pandey, Neelesh title: Common Fixed Point Theorems for Four Fuzzy Mappings date: 2014-08-28 words: 5063 flesch: 86 summary: Now, suppose that set of common fixed points of I,J,S and T is totally ordered. ≤ φ1(d(u,v)) a contraction, so u = v. Conversely, if I,J,S and T have only one common fixed point, then the set of common fixed point of I,J,S and T being singleton is totally ordered. keywords: point cache: ijaa-377.pdf plain text: ijaa-377.txt item: #464 of 571 id: ijaa-389 author: Biswas, Arkojyoti title: Estimation of Comparative Growth Properties of Entire and Meromorphic Functions in Terms of Their Relative Order date: 2014-10-18 words: 1774 flesch: 83 summary: From the definition of relative order we get for arbitrary ε (> 0) and for all sufficiently large values of r that (7) log T−1g Th(r) < (ρg(h) + ε) log r and for a sequence of values of r tending to infinity λf = lim inf r→∞ log log Mf (r) log r . keywords: log cache: ijaa-389.pdf plain text: ijaa-389.txt item: #465 of 571 id: ijaa-39 author: Gupta, Animesh title: Fixed Point of Order 2 on G-Metric Space date: 2013-08-07 words: 2210 flesch: 91 summary: Suppose that x0 ∈ X be a fixed point for Ti : X → X which i = 1, 2, ...,n where (n ∈ N) and also limx→x0 G(Tix,Tix,x0) G(x,x,x0) Suppose that x0 ∈ X be a fixed point of order 2 for T : X → X where T is one to one and g is left inverse of T . keywords: g(x cache: ijaa-39.pdf plain text: ijaa-39.txt item: #466 of 571 id: ijaa-390 author: Dhage, Bapurao C. title: Approximating Fixed Points of Generalized Nonexpansive Mappings in Banach Spaces date: 2014-10-18 words: 3149 flesch: 81 summary: GENERALIZED NONEXPANSIVE MAPPINGS IN BANACH SPACES 147 Then, by (2.1), we obtain ‖x1 −x2‖≤ (1 − t)‖x0 −x1‖ + t‖fx0 −fx1‖ ≤ (1 − t)‖x0 −x1‖ + ta max { ‖x0 −x1‖,‖x0 −fx0‖,‖x1 −fx1‖, 1 2 [‖x0 −x1‖ + ‖x1 −x2‖] } + tb Some results concerning the approximations of fixed points with Krasnoselskii and Mann type iterations are also proved under suitable conditions. keywords: −x1‖ cache: ijaa-390.pdf plain text: ijaa-390.txt item: #467 of 571 id: ijaa-392 author: Kadelburg, Zoran; Radenovic, Stojan title: Fixed Point and Tripled Fixed Point Theorems under Pata-Type Conditions in Ordered Metric Spaces date: 2014-08-28 words: 4855 flesch: 89 summary: Generally speaking, fixed point results in ordered spaces use weaker contractive conditions (restricted to comparable pairs of points), but at the expense of an additional assumption that the given mapping is monotone. In what follows, tripled fixed point results of the first kind will be proved for monotone mappings, while those of the second type will be connected with mixed-monotone mappings. keywords: fixed cache: ijaa-392.pdf plain text: ijaa-392.txt item: #468 of 571 id: ijaa-404 author: Salahifard, H.; Vaezpour, S. M. title: Index Formulas for Countably φ-Set Contraction date: 2014-10-18 words: 4904 flesch: 75 summary: It should be noted that this class of oper- ators, as special cases, includes linear bounded operators, nonexpansive operators, completely continuous operators, k- set-contractive operators, condensing opera- tors and 1−set contractive operators. Now let us state our main definition which determines an important class of operators including linear bounded operators, nonexpansive operators, completely continuous operators, k- set-contractive operators, condensing operators and 1−set contractive operators. keywords: contraction; index; linear; operator; ϕ−set cache: ijaa-404.pdf plain text: ijaa-404.txt item: #469 of 571 id: ijaa-405 author: Shah, Firdous A.; Abass, R. title: Characterization of Biorthogonal Multiwavelet Packets with Arbitrary Dilation Matrix date: 2015-11-27 words: 5297 flesch: 74 summary: Orthogonal wavelet packets have many desired properties such as compact support, good frequency localization and vanishing moments. Well known Daubechies orthogonal wavelets are a special case of wavelet packets. keywords: aj+1−1∑; packets cache: ijaa-405.pdf plain text: ijaa-405.txt item: #470 of 571 id: ijaa-407 author: Sahoo, Ashok Kumar; Patel, Jagannath title: Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli date: 2014-10-18 words: 2808 flesch: 83 summary: Introduction and preliminaries Let A be the class of functions f of the form (1.1) f(z) = The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determi- nant for a new class R̃ of analytic functions in the unit disk. keywords: function cache: ijaa-407.pdf plain text: ijaa-407.txt item: #471 of 571 id: ijaa-410 author: Shobanadevi, N.; Mohan, J. Jagan title: Analysis of Discrete Mittag - Leffler Functions date: 2015-02-28 words: 5283 flesch: 86 summary: Let T be any positive integer and consider Fα,β(λ, (t + T) α) = ∞∑ k=0 λk (t + T)αk Γ(αk + β) = ∞∑ k=0 λk Γ(t Now consider ANALYSIS OF DISCRETE MITTAG - LEFFLER FUNCTIONS 137 u(t) −u(s) = (t + 1)α−1Fα,α(λ, (t + α)α) keywords: k=0; γ(αk cache: ijaa-410.pdf plain text: ijaa-410.txt item: #472 of 571 id: ijaa-411 author: Rahimi, Hamidreza; Vetro, Calogero; Abbas, Mujahid; Soleimani Rad, Ghasem title: Tripled Fixed Point Results for T-Contractions on Abstract Metric Spaces date: 2014-10-17 words: 3197 flesch: 82 summary: [12] reintroduced such as spaces and defined cone metric spaces. Then, several fixed point results on cone metric spaces were obtained in [1, 2, 22] and references therein. keywords: metric; point cache: ijaa-411.pdf plain text: ijaa-411.txt item: #473 of 571 id: ijaa-412 author: Bouabdelli, Rabab; BELAIDI, Benharrat title: Growth and Complex Oscillation of Linear Differential Equations with Meromorphic Coefficients of [p,q] - φ Order date: 2014-10-18 words: 7300 flesch: 86 summary: Since max { σ[p,q] (Aj,ϕ) : j 6= s } ≤ µ[p,q] (As,ϕ) , for the above ε > 0 and suffi- ciently large r, we have (2.12) T (r,Aj) Moreover, we denote by exp0 r := r, log0 r := r, log−1 r := exp1 r and exp−1 r := log1 r. Definition 1.2 keywords: µ[p cache: ijaa-412.pdf plain text: ijaa-412.txt item: #474 of 571 id: ijaa-413 author: Saluja, G. S. title: Fixed Point Theorem of Modified S-Iteration Process for Ciric Quasi Contractive Operator in CAT(0) spaces date: 2014-10-18 words: 4105 flesch: 81 summary: [29] B.E. Rhoades, Fixed point iteration using infinite matrices, Trans. He proved that this class is wider than the class of Zamfirescu operators and used the Mann iteration process to approximate fixed points of this class of operators in a normed space given in the form of following theorem. keywords: d(x cache: ijaa-413.pdf plain text: ijaa-413.txt item: #475 of 571 id: ijaa-414 author: Qi, Feng; Zheng, Miao-Miao title: Absolute Monotonicity of Functions Related To Estimates of First Eigenvalue of Laplace Operator on Riemannian Manifolds date: 2014-10-17 words: 3639 flesch: 81 summary: sec2 θ −θ tan θ − 1 2 , θ ∈ ( − π 2 , π 2 ) , 0, θ = ± π 2 , (1.23) and (1.24) φ(θ) =  − 1 4 [2θ + sin(2θ) In [18, Propositions 11 and 12], [23, Propositions 2, 3, and 5], and [27, Propositions 1 and 2], it was obtained that the function Y (θ) = p(θ) satisfies the differential equation (1.10) Y ′′(θ) cos2 θ − 2Y ′(θ) keywords: function cache: ijaa-414.pdf plain text: ijaa-414.txt item: #476 of 571 id: ijaa-420 author: Mehmood, Nayyar; Azam, Akbar; Aleksic, Suzana title: Topological Vector-Space Valued Cone Banach Spaces date: 2014-10-18 words: 6984 flesch: 86 summary: + ‖y‖K for all x,y ∈ V , (N4) ‖kx‖K If a mapping ρK : X → (E,K) satisfies: (SN1) ρK(x) < θ for all x ∈ V , (SN2) ρK(x + y) 4 ρK(x) + ρK(y) for all x,y ∈ V , (SN3) ρK(kx) = |k|ρK(x) for all x ∈ V , k ∈ F . keywords: cone; point; space; tvs cache: ijaa-420.pdf plain text: ijaa-420.txt item: #477 of 571 id: ijaa-423 author: Radhakrishnan, B. title: Existence of Quasilinear Neutral Impulsive Integrodifferential Equations in Banach Space date: 2015-01-21 words: 6180 flesch: 86 summary: ≤ ∫ t 0 χ(W(s))ds, for all t ∈ [0,b],(5) where ∫ t 0 W(s)ds = {∫ t 0 u(s)ds : u ∈ W } . + ∫ t 0 A(s,x(s))Ux(t,s)e ( s,x(s), ∫ s 0 k(s,τ,x(τ))dτ ) ds + ∫ t 0 Ux(t,s) keywords: 0,b; banach; equations; ∫ t cache: ijaa-423.pdf plain text: ijaa-423.txt item: #478 of 571 id: ijaa-43 author: Bhoosnurmath, Subhas S.; Kabbur, Smita R title: Value Distribution and Uniqueness Theorems for Difference of Entire and Meromorphic Functions date: 2013-08-07 words: 5407 flesch: 90 summary: Meromorphic functions ,difference ,uniqueness. [5] Jilong Zhang , Value distribution and shared sets of difference of meromorphic functions , J. Math. keywords: f(z; s(r cache: ijaa-43.pdf plain text: ijaa-43.txt item: #479 of 571 id: ijaa-434 author: Sarwar, Muhammad; Rahman, Mujeeb Ur title: Fixed Point Theorems for Ciric's and Generalized Contractions in b-Metric Spaces date: 2015-01-21 words: 3686 flesch: 87 summary: Some problems particularly the problem of the convergence of measurable functions with respect to measure leads Czerwik (see [5],[6]) to the generalization of metric space and introduce the concept of b-metric space After Czerwik([5], [6]) many papers have been published containing fixed point results on b-metric spaces for single value and multivalued functions(see[1], [2], [10]). In this paper we proved b-metric variant of fixed point results for Ciric’s and generalized contraction. keywords: b(xn; metric cache: ijaa-434.pdf plain text: ijaa-434.txt item: #480 of 571 id: ijaa-440 author: Messirdi, Bekkai; Gherbi, Abdellah; Amouch, Mohamed title: A Spectral Analysis of Linear Operator Pencils on Banach Spaces with Application to Quotient of Bounded Operators date: 2015-02-28 words: 11813 flesch: 83 summary: Let X = Y and A,B ∈ L(X) are with non empty resolvent set %(A,B). Let A,B ∈L(X,Y ), f ∈H(Ω) and λ0 ∈ %(A,B). keywords: a−λb; invertible; j(a; l(x; linear; operator; pair; pencils; set; spectrum; theorem; σ(a cache: ijaa-440.pdf plain text: ijaa-440.txt item: #481 of 571 id: ijaa-442 author: Jonnalagadda, Jagan Mohan title: Analysis of Nonlinear Fractional Nabla Difference Equations date: 2015-01-21 words: 5961 flesch: 84 summary: The αth - order Caputo type frac- tional nabla difference of u is given by (2.3) ∇αa∗u(t) = ∇ −(N−α) a [ ∇Nu(t) ] , t ∈ Na+N. For α = 0, we set ∇0a∗u(t) = u(t), t ∈ Na. + 1 Γ(α) t∑ s=1 (t−ρ(s))α−1f (s, u(s)), t ∈ N0,(3.5) T ′u(t) keywords: difference; s=1; γ(α cache: ijaa-442.pdf plain text: ijaa-442.txt item: #482 of 571 id: ijaa-448 author: Brahim, Kamel; Taf, Sabrina; Nefzi, Bochra title: New Integral Inequalities in Quantum Calculus date: 2015-01-21 words: 2694 flesch: 89 summary: Then we have (3.11) ∫ b a f2(x)dqx ∫ b a g2(x)dqx ≤ (MN + mn)2 4nmNM (∫ b a f(x)g(x)dqx )2 Proof of Theorem 2: Using Lemma 2, we get (b−a) b a f2(x)dqx− (∫ b a f(x)dqx )2] × keywords: b−a; jαq cache: ijaa-448.pdf plain text: ijaa-448.txt item: #483 of 571 id: ijaa-457 author: EL FARISSI, Abdallah title: On The Iterated Exponent of Convergence of Solutions of Linear Differential Equations date: 2015-02-28 words: 3766 flesch: 84 summary: [12] M. S. Liu and X. M. Zhang, Fixed points of meromorphic solutions of higher order Linear differential equations, Ann. i−1 + ... (2.6) + (( Ai−11 )′ + Ai−10 ) g ′ i−1 + A ′ 0gi−1 = 0. 168 ABDALLAH EL FARISSI In (2.6) , replacing gi−1 by gi−1 = − (g (k) keywords: meromorphic cache: ijaa-457.pdf plain text: ijaa-457.txt item: #484 of 571 id: ijaa-46 author: Panwar, Yashwant K.; Singh, Bijendra; Gupta, V. K. title: Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers date: 2013-08-17 words: 1493 flesch: 106 summary: e r e k p           2 1 2 2 2 4 2 ( ) 0 , : 2 k k k k t h e n V j V       2 1 2 2 4 3 ( ) 1 , : k k k keywords: k k cache: ijaa-46.pdf plain text: ijaa-46.txt item: #485 of 571 id: ijaa-460 author: Pal, S. K.; Pandey, M. K.; Singh, R. N. title: On a Type of Projective Semi- Symmetric Connection date: 2015-02-28 words: 2802 flesch: 69 summary: Introduction The idea of semi-symmetric connection was introduced by A. Friedmann and J. A. References [1] De, U.C. and De, B. K., On a type of semi-symmetric connection on a Riemannian manifold, Ganita, 47(2), (1996), 11-24. keywords: connection; projective cache: ijaa-460.pdf plain text: ijaa-460.txt item: #486 of 571 id: ijaa-469 author: Singh, Sunil Kumar; Kalita, Baby title: The S-Transform on Hardy Spaces and Its Duals date: 2015-02-28 words: 2523 flesch: 91 summary: − t,ξ) e−i2π〈ξ,t〉 dt, for τ,ξ ∈ Rn, provided the integral exists. Therefore, ‖ (Sωf)(·,ξ) ‖BMO = sup B⊂Rn 1 |B| ∫ B |(Sωf)(τ,ξ) − (Sωf)B(τ,ξ)|dτ ≤ sup B⊂Rn 1 |B| ∫ B (∫ Rn |ω(x,ξ)| ∣∣∣∣e−i2π<ξ,τ−x>f(τ −x) − 1 |B| ∫ B e−i2π<ξ,α−x>f(α−x)dα ∣∣∣∣dx ) dτ = ∫ Rn |ω(x,ξ)| ( sup K⊂Rn 1 |K| ∫ K ∣∣∣∣e−i2π<ξ,y>f(y) keywords: e−i2π; sup cache: ijaa-469.pdf plain text: ijaa-469.txt item: #487 of 571 id: ijaa-476 author: da Silva, Patricia N.; Vasconcellos, Carlos F. title: On The Stabilization of the Linear Kawahara Equation with Periodic Boundary Conditions date: 2015-02-27 words: 3205 flesch: 74 summary: ∫ T 0 g(t)dt, t ∈ (0,T) and the Lemma follows. 131-152. STABILIZATION OF THE LINEAR KAWAHARA EQUATION 103 [5] J.L.Bona and H.Chen, Comparision of model equations for small-amplitude long waves, Nonlinear Anal. keywords: equation; kawahara; stabilization cache: ijaa-476.pdf plain text: ijaa-476.txt item: #488 of 571 id: ijaa-482 author: Soltani, Fethi title: Best approximation of the Dunkl Multiplier Operators Tk,â„“,m date: 2015-02-28 words: 2936 flesch: 83 summary: the Dunkl transform is defined (see [2]) by Fk(f)(y) := ∫ Rd Ek(−ix,y)f(x)dµk(x), y ∈ Rd, where Ek(−ix,y) denotes the Dunkl kernel (for more details, see the next section). For y ∈ Rd, the initial problem Dju(.,y)(x) = yju(x,y), j = 1, ...,d, with u(0,y) = 1 admits a unique analytic solution on Rd, which will be denoted by Ek(x,y) and called Dunkl kernel [1, 3]. keywords: dunkl; operators cache: ijaa-482.pdf plain text: ijaa-482.txt item: #489 of 571 id: ijaa-49 author: Waphare, B.B.; Gunjal, S.B. title: The Complementary Hankel Type Transformations Of Arbitrary Order date: 2013-09-04 words: 4734 flesch: 76 summary: On the contrary, if definitions (3.4) or (3.5) are adopted, f ∈ Hα,β implies that Hα,βf ∈ Hα,β in view of part(i) in Theorem 3.2. For all φ ∈ Hα,β, Hα,β{∆α,βφ} = −y2Hα,βφ ∆α,βHα,βφ = Hα,β(−x2φ). keywords: transformation; α−β cache: ijaa-49.pdf plain text: ijaa-49.txt item: #490 of 571 id: ijaa-492 author: Murugusundaramoorthy, G.; Vijaya, K. title: Second Hankel Determinant for Bi-Univalent Analytic Functions Associated with Hohlov Operator date: 2015-05-22 words: 3069 flesch: 87 summary: E. Hohlov, Operators and operations in the class of univalent functions (in Russian), Izv. Pommerenke, Univalent functions, Vandenhoeck and Ruprecht, Göttingen, 1975. keywords: functions cache: ijaa-492.pdf plain text: ijaa-492.txt item: #491 of 571 id: ijaa-493 author: Krantz, Steven G. title: Smoothness to the Boundary of Biholomorphic Mappings date: 2015-05-22 words: 5962 flesch: 80 summary: pseudoconvex domain; biholomorphic mapping; Lipschitz condition; smooth extension; diffeomorphism. [2] S. R. Bell, Biholomorphic mappings and the ∂ problem, Ann. keywords: boundary; lemma; φ−1 cache: ijaa-493.pdf plain text: ijaa-493.txt item: #492 of 571 id: ijaa-499 author: Saluja, G. S. title: Strong and â–³-Convergence of Modified Two-Step Iterations for Nearly Asymptotically Nonexpansive Mappings in Hyperbolic Spaces date: 2015-05-22 words: 5523 flesch: 80 summary: Since then, the existence problem and the ∆-convergence problem of iterative sequences to a fixed point for nonexpansive mapping, asymptotically nonexpansive mapping, nearly asymptotically nonexpansive mapping, asymptoti- cally quasi-nonexpansive mapping in the intermediate sense, total asymptotically nonexpansive mapping and asymptotically quasi-nonexpansive mapping through Picard, Mann [8] K. Goebel and W.A. Kirk, Iterations processes for nonexpansive mappings, Contemp. keywords: mappings; space cache: ijaa-499.pdf plain text: ijaa-499.txt item: #493 of 571 id: ijaa-50 author: Olteanu, Octav title: Analytic Solutions of Special Functional Equations date: 2013-07-16 words: 1518 flesch: 97 summary: DUUbFUFbUU  Ib 1 ;F F FF   1 ;D F lD rD rD ;lD F               ;,expexp;inf ,,expexp;sup 0000 0000 rl lr DUbUUbUUDUUF DUbUUbUUDUUF   ,AU  , 1 b      .2)2( 11   bUIbUIbUUF    bUUUg   ,0,11   xeeee xfxfxx     .0,1ln keywords:   cache: ijaa-50.pdf plain text: ijaa-50.txt item: #494 of 571 id: ijaa-506 author: Saluja, G. S. title: Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces date: 2015-05-22 words: 3836 flesch: 79 summary: Since S is asymptotically quasi-nonexpansive mapping, so it is uniformly quasi-Lipschitzian with L = supn≥1{kn} ≥ 1 (by remark 1.1). [3] G. Das and J.P. Debate, Fixed points of quasi-nonexpansive mappings, Indian J. Pure Appl. keywords: mapping; quasi cache: ijaa-506.pdf plain text: ijaa-506.txt item: #495 of 571 id: ijaa-518 author: Dhage, Bapurao C. title: The Dhage Iteration Principle for Coupled PBVPs of Nonlinear Second Order Differential Equations date: 2015-05-22 words: 4182 flesch: 75 summary: Let (x1,x2), (y1,y2) ∈ E ×E. Then, (2.2) (x1,x2) � (y1,y2) ⇐⇒ x1 � y1 and x2 � y2. + λ2x(t) = σ(t), t ∈ J, x(0) keywords: dhage cache: ijaa-518.pdf plain text: ijaa-518.txt item: #496 of 571 id: ijaa-519 author: Ozturk, Vildan title: Fixed Point Theorems for α-ψ-Quasi Contractive Mappings in Metric-Like Spaces date: 2015-08-11 words: 3111 flesch: 88 summary: In this paper, we give fixed point theorems for α − ψ−quasi contractions and α−ψ−p−quasi contractions in complete metric-like spaces. [7] S.H. Cho, J.S. Bae, Fixed points theorems for α − ψ-quasi contractive mappings in metric spaces. keywords: metric cache: ijaa-519.pdf plain text: ijaa-519.txt item: #497 of 571 id: ijaa-524 author: Pandey, S.S.; Kumar, Ashish title: Gelfand Triple Isomorphisms for Weighted Banach Spaces on Locally Compact Groups date: 2015-08-11 words: 1813 flesch: 71 summary: we define H1w(G) by H1w(G) = {f; f ∈H,Vg f ∈ L 1 w}, which is a Banach space under the norm ‖f|H1w‖ = ‖Vg f|L 1 w‖. 102 PANDEY AND KUMAR As mention by Feichtinger and Gröchenig (loc. cit.),H1w(G) is a π-invariant Banach space dense in H and the set {π(x)g,x ∈ G} is a total subset of H1w(G) Banach spaces related to integrable group representations and their atomic decompositions I, Journal of Functional analysis, 86 (1989), 307-340. keywords: h1w; h1∼w; space cache: ijaa-524.pdf plain text: ijaa-524.txt item: #498 of 571 id: ijaa-531 author: Benharrat, Mohammed; Messirdi, Bekkai title: Strong Metrizability for Closed Operators and the Semi-Fredholm Operators between Two Hilbert Spaces date: 2015-08-11 words: 5379 flesch: 83 summary: Hence { nn+1 Γ −1 G (T)} is a sequence {An} of operators such that for each n, ‖An‖ < 1 and ∥∥An − Γ−1G (T)∥∥ −→ 0. − Γ−1G (T2)(SGT2 )−1∥∥ ≤ 1 2 qG(T1,T2) ∥∥(SGT1 )−1 + (SGT2 )−1∥∥ keywords: c(h1,h2; fredholm; metric; operator cache: ijaa-531.pdf plain text: ijaa-531.txt item: #499 of 571 id: ijaa-54 author: Chouhan, Prabha; Malviya, Neeraj title: Fixed Points of Expansive Type Mappings in 2-Banach Spaces date: 2013-08-17 words: 2784 flesch: 91 summary: Let X is Q3, the field of rational number and consider the fol- lowing 2-norm on X as: ‖ x, y ‖ = ∣∣∣∣∣∣det   i j kx1 + ‖ x2n+2 −x2n,a ‖ ] ≥ a1 ‖ x2n+1 −x2n,a ‖ + b1 ‖ keywords: space; x2n+1 cache: ijaa-54.pdf plain text: ijaa-54.txt item: #500 of 571 id: ijaa-550 author: Abouelaz, A.; Achak, A.; Daher, R.; Loualid, El. title: A Real Paley-Wiener Theorem for the Generalized Dunkl Transform date: 2015-08-11 words: 1943 flesch: 79 summary: Let f ∈ PWR(R), and λ outside [−R,R]. For λ ∈ C and x ∈ R put (8) Ψλ,α,n(x) = x2neα+2n(iλx), where eα+2n is the Dunkl kernel of index α + 2n given by (2). keywords: dunkl; transform cache: ijaa-550.pdf plain text: ijaa-550.txt item: #501 of 571 id: ijaa-552 author: Daher, R.; El Ouadih, S.; Belkhadir, A. title: Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt) date: 2015-08-11 words: 1805 flesch: 86 summary: = ∫ R f(z)dνα,βx,y (z), ∀x,y ∈ R where να,βx,y (z),x,y ∈ R are the signed measures given by dνα,βx,y (z) =   Kα,β(x,y,z)Aα,β(z)dz if x,y ∈ R∗ δx if y = 0 δy if x = 0 Here, δx is the Dirac measure at x. ∈ R, and the inversion formula by f(t) = ∫ R Fα,βf(λ)ψ α,β −λ (t)dσ(λ), where dσ(λ) = |λ| 8π √ λ2 −ρ2|Cα,β( √ λ2 −ρ2)| IR\]−ρ,ρ[(λ)dλ. keywords: jacobi cache: ijaa-552.pdf plain text: ijaa-552.txt item: #502 of 571 id: ijaa-562 author: Dhage, Bapurao C. title: A New Monotone Iteration Principle in the Theory of Nonlinear Fractional Differential Equations date: 2015-08-11 words: 7153 flesch: 68 summary: For a given continuous function h : J → R, a function x ∈ C1(J,R) is a solution of the FDE (3.3) CDqx(t) = h(t), t ∈ J, x(t0) + 1 2 arctan x(t), t ∈ J, x(0) keywords: dhage; nonlinear cache: ijaa-562.pdf plain text: ijaa-562.txt item: #503 of 571 id: ijaa-577 author: Tufa, Abebe R.; Zegeye, H.; Thuto, M. title: Iterative Solutions of Nonlinear Integral Equations of Hammerstein Type date: 2015-11-28 words: 6096 flesch: 84 summary: u + KFu has a solution in H. Let ū, v̄ ∈ H and the sequences {un}, {vn}⊂ H be generated from arbitrary u0, v0 ∈ H by{ un+1 = αnū + (1 −αn)(anun + (1 −an)tn), vn+1 = αnv̄ Let E := H × H with norm ||z||2E = ||u|| 2 H + ||v|| 2 H, for z = (u,v) ∈ E and let a map T : E → E defined by Tz = T(u,v) := (Fu−v,u + Kv) be γ−inverse strongly monotone. keywords: equation; hilbert; mapping; monotone; solution cache: ijaa-577.pdf plain text: ijaa-577.txt item: #504 of 571 id: ijaa-580 author: Abdulhadi, Zayid; El Hajj, L. title: Univalent Biharmonic Mappings and Linearly Connected Domains date: 2015-11-03 words: 2594 flesch: 76 summary: [12] M.Chuaqui, R.Hermandez,Univalent Harmonic mappings and linearly connected domains, J. Math.Anal. Every biharmonic mapping F in Ω has the representation F = |z|2G + K, where G and K are harmonic in Ω. This paper investigates the relationship between the univalence of F and of K using the concept of linearly connected domains. keywords: biharmonic cache: ijaa-580.pdf plain text: ijaa-580.txt item: #505 of 571 id: ijaa-586 author: Malhotra, S.K.; Sharma, J.B.; Shukla, Satish title: Fixed Points of α-Admissible Mappings in Cone Metric Spaces with Banach Algebra date: 2015-11-03 words: 4537 flesch: 83 summary: [13] W.S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal., 72(5), (2010) 2259-2261. In this paper, we introduce the α-admissible mappings in the set- ting of cone metric spaces equipped with Banach algebra and solid cones. keywords: cone; metric cache: ijaa-586.pdf plain text: ijaa-586.txt item: #506 of 571 id: ijaa-592 author: Bounader, Nordine; Chahbi, Abdellatif Abdellatif; Kabbaj, Samir title: Reverse of the Triangle Inequality in Hilbert C*-Modules date: 2015-11-03 words: 3265 flesch: 88 summary: [12] M.Khosravi, H.Mahyar, M.S. Moslehyan,Reverse triangle inequality Hilbert C∗-modules. In this paper we prove the reverse of triangle inequality via Sel- berg’s inequalities in the framework of Hilbert C∗-modules. keywords: j=1; k=1; ‖〈yj cache: ijaa-592.pdf plain text: ijaa-592.txt item: #507 of 571 id: ijaa-600 author: Mebarki, Leila; Benharrat, Mohammed; Messirdi, Bekkai title: Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators date: 2015-11-27 words: 3593 flesch: 79 summary: An operator V ∈L(X) is said to be quasi-compact operator if there exists a compact operator K and an integer m such that ‖V m −K‖ < quasi-compact operators; Weyl essential spectrum; transport operators. keywords: operator; spectrum cache: ijaa-600.pdf plain text: ijaa-600.txt item: #508 of 571 id: ijaa-608 author: Ofoedu, E.U.; Nnubia, Agatha Chizoba title: Convergence Theorem for Finite Family of Total Asymptotically Nonexpansive Mappings date: 2015-11-27 words: 7372 flesch: 77 summary: K −→ K is called nonexpansive if and only if for all x,y ∈ K, we have that ‖Tx−Ty‖≤‖x−y‖.(1) As further generalisation of class of nonexpansive mappings, Alber, Chidume and Zegeye [2] introduced the class of total asymptotically nonexpansive mappings, where a mapping T : K −→ K is called total asymptotically nonexpansive if and only if there exist two sequences {µn}n≥1,{ηn}n≥1 ⊂ [0, +∞), with lim n→∞ µn = 0 = lim n→∞ ηn and nondecreasing continous function φ : [0, +∞) −→ [0, +∞) with φ(0) = 0 such that for all x,y ∈ K, (3) ‖Tnx−Tny‖≤‖x−y‖ + µnφ(‖x−y‖) keywords: lim; mappings; n→∞; point cache: ijaa-608.pdf plain text: ijaa-608.txt item: #509 of 571 id: ijaa-610 author: Lakmon, Anaté K.; Siggini, Kenny K. title: On The Integral Representation of Strictly Continuous Set-Valued Maps date: 2015-11-27 words: 3743 flesch: 86 summary: Let y ∈ E′. = L(f) = ∫ fM′. Let 0 be an open subset of T and let y ∈ E′. keywords: space cache: ijaa-610.pdf plain text: ijaa-610.txt item: #510 of 571 id: ijaa-615 author: Hamdi Cherif, Mountassir; Belghaba, Kacem; Ziane, Djelloul title: Homotopy Perturbation Method for Solving the Fractional Fisher's Equation date: 2016-01-17 words: 3536 flesch: 74 summary: The method is a powerful and efficient technique to find the solutions of nonlinear equations. [23] S. Momani and Z. Odibat, Homotopy perturbation method for nonlinear partial differential equations of fractional order, Phys. keywords: equation; homotopy; method; perturbation cache: ijaa-615.pdf plain text: ijaa-615.txt item: #511 of 571 id: ijaa-618 author: Chettri, Pankaj; Gurung, Subodh; Katwal, Khusboo title: ps-ro Fuzzy Open(Closed) Functions and ps-ro Fuzzy Semi-Homeomorphism date: 2015-11-28 words: 4851 flesch: 95 summary: Proof:(a) Let U be ps-ro semiopen fuzzy set on X. Since, f and g are ps-ro fuzzy pre semiopen functions, f(U) and hence g(f(U)) are ps-ro semiopen fuzzy sets on Y and Z respectively. Since f−1(E) is not ps-ro open fuzzy set on X, f is not ps-ro fuzzy continuous. keywords: fuzzy; set cache: ijaa-618.pdf plain text: ijaa-618.txt item: #512 of 571 id: ijaa-623 author: Abouelaz, Ahmed; Daher, Radouan; Loualid, El Mehdi title: Harmonic Analysis Associated with the Generalized q-Bessel Operator date: 2016-01-17 words: 2475 flesch: 80 summary: (i): The map M is a topological isomorphism from Lpq,α onto Lpq,α,n (ii): We have (17) ∆q,α,n ◦M = M◦ ∆q,α+2n. (iii): Ψα,n(λ.,q2) satisfies the differential equation (18) ∆q,α,nΨα,n(λ.,q2) ∞ 0 f(t)Ψα,n(λt,q 2)t2α+1dqt, = cq,α+2n ∫ ∞ 0 f(t)x2njα+2n(λt,q 2)t2α+1dqt, = cq,α+2n ∫ ∞ 0 M−1f(t)jα+2n(λt,q2)t2α+4n+1dqt, = Fq,α+2n ◦M−1f(λ). keywords: bessel cache: ijaa-623.pdf plain text: ijaa-623.txt item: #513 of 571 id: ijaa-625 author: Saluja, G. S. title: On Weak and Strong Convergence Theorems of Modified SP-Iteration Scheme for Total Asymptotically Nonexpansive Mappings date: 2016-01-17 words: 7239 flesch: 85 summary: p ∈ F = ∩3i=1F(Ti)}, where a1, a2 and a3 are nonnegative real numbers such that a1 + a2 + a3 = 1. Then {xn} converges strongly to a point p ∈ F if and only if there exists some subsequence {xnj} of {xn} which converges to p ∈ F . Theorem 3.5. keywords: lim; mappings; −p‖ cache: ijaa-625.pdf plain text: ijaa-625.txt item: #514 of 571 id: ijaa-636 author: Rahman, Mujeeb Ur; Sarwar, Muhammad; Rahman, Muhib Ur title: Fixed point results of Altman integral type mapping in S-metric spaces date: 2016-01-19 words: 2701 flesch: 82 summary: Altman type mapping; common fixed point; self-mapping; ϕ-weakly commuting self- mappings. Assume that common fixed point of P,T,f and g is not unique i.e z 6= w be two distinct fixed points of P,T,f and g. keywords: metric; space cache: ijaa-636.pdf plain text: ijaa-636.txt item: #515 of 571 id: ijaa-644 author: Vujosevic, Biljana title: Additive Units of Product System of Hilbert Modules date: 2016-03-07 words: 3141 flesch: 85 summary: We introduce the notion of continuous additive unit and continuous root of a central unital unit ω in a spatial product system over C∗-algebra B and prove that the set of all continuous additive units of ω can be endowed with a structure of two-sided Hilbert B−B module wherein the set of all continuous roots of ω is a Hilbert B−B submodule. We introduce the notion of continuous additive unit and continuous root of a central unital unit. keywords: unit cache: ijaa-644.pdf plain text: ijaa-644.txt item: #516 of 571 id: ijaa-647 author: Ezeora, J. N. title: Convergence Theorem for Generalized Mixed Equilibrium Problem and Common Fixed Point Problem for a Family of Multivalued Mappings date: 2016-01-17 words: 5214 flesch: 80 summary: y ∈ K} is the distance from the point x to the set K. Let K be a nonempty closed convex subset of X. x,y ∈ K; (A3) for each y ∈ K,x 7→ F(x,y) is weakly upper semicontinuous (A4) for each x ∈ K,y 7→ F(x,y) is convex and lower semicontinuous; (B1) for each x ∈ H and r > 0, there exist a bounded subset Kx ⊆ K and yx ∈ K ∩domϕ such that for any z ∈ K \Kx, F(z,yx) + ϕ(yx) keywords: equilibrium; i=1; mappings; problem cache: ijaa-647.pdf plain text: ijaa-647.txt item: #517 of 571 id: ijaa-65 author: Jeyaraman, M.; Yuvarani, A.; Ravi, O. title: IFαGS Continuous and IFαGS Irresolute Mappings date: 2013-09-04 words: 5512 flesch: 79 summary: IFαGS continuous mapping 9 IF continuous mapping Let X = {a, b}, Y = {u, v}, T1 = 〈 x, (0.4, 0.2), (0.6, 0.7)〉 and T2 = 〈 y, (0.3, 0.2), (0.7, 0.8) 〉. Define a mapping f:(X, τ) → (Y, σ) by f(a) = u and f(b) = v. Then f is IFαGS continuous mapping but not IFG continuous mapping. keywords: ifαgs; mapping cache: ijaa-65.pdf plain text: ijaa-65.txt item: #518 of 571 id: ijaa-655 author: Abdullah, Abdullah title: Characterizations of p-Wavelets on Positive Half Line Using the Walsh-Fourier Transform date: 2016-03-07 words: 2915 flesch: 86 summary: ∈ Z+,a.e.ξ ∈ By Lemma 3.7 and (3.9), | < G̃(ξ)ek,ek > |2 = 1 for all k ∈ Z+. keywords: affine; l2(r+; wavelets cache: ijaa-655.pdf plain text: ijaa-655.txt item: #519 of 571 id: ijaa-656 author: Abouelaz, A.; Achak, A.; Daher, R.; Safouane, N. title: Beurling'S Theorem and Lp- Lqmorgan'S Theorem for the Generalized Bessel-Struve Transform date: 2016-03-07 words: 1921 flesch: 81 summary: Then the function defined on C by (8) Fα,nB,S(f)(z) = ∫ R f(x)Ψ−iz,α,n(x)|x|2α+1dx is well defined and entire on C. Moreover, we have (9) ∀ξ,ζ ∈ R, |Fα,nB,S(f)(ξ + iζ)| ≤ ∫ R |f(x)|e|x||ζ||x|2α+1dx. The Generalized Bessel-Struve transform is defined on L1α,n(R) by ∀λ ∈ R, Fα,nB,S(f)(λ) = ∫ R f(x)Ψ−iλ,α, keywords: theorem cache: ijaa-656.pdf plain text: ijaa-656.txt item: #520 of 571 id: ijaa-663 author: Romer, Badshshah e; Sarwar, Muhammad title: Characterization of Multiplicative Metric Completeness date: 2016-03-07 words: 2508 flesch: 75 summary: multiplicative metric space; multiplicative contraction mapping; multiplicative Cauchy se- quence; fixed point. [13] M. Őzavsar and A. C. Cevikel, Fixed point of multiplicative contraction mappings on multiplicative metric space, arXiv:1205.5131v1 keywords: d(x; metric cache: ijaa-663.pdf plain text: ijaa-663.txt item: #521 of 571 id: ijaa-665 author: Bor, Hüseyin title: On Quasi-Power Increasing Sequences and Their Some Applications date: 2016-03-07 words: 2234 flesch: 86 summary: In [6], we proved a main theorem dealing with | N̄,pn,θn |k summability factors using a new general class of power increasing sequences instead of a quasi-σ-power increasing sequence. Tn,1 | k = m∑ n=1 θk−1n n −k | λn |k−1| λn || sn |k = O(1) m∑ n=1 | λn | ( 1 Xn )k−1 θk−1n n −k | sn |k = O(1) m−1∑ n=1 ∆ | λn | n∑ v=1 θk−1v | sv |k Xv k−1vk keywords: v=1 cache: ijaa-665.pdf plain text: ijaa-665.txt item: #522 of 571 id: ijaa-671 author: Dhage, Shyam B.; Dhage, Bapurao C. title: Dhage Iteration Method for Approximating Positive Solutions of PBVPs of Nonlinear Quadratic Differential Equations with Maxima date: 2016-03-07 words: 5417 flesch: 74 summary: ] = g(t,x(t),X(t))), t ∈ J, x(0) = x(T),   for λ = f(t,x(t)), t ∈ J, x(0) keywords: dhage; equations cache: ijaa-671.pdf plain text: ijaa-671.txt item: #523 of 571 id: ijaa-680 author: Ahmadi Baseri, M.; Mazaheri, H.; Narang, T. D. title: Common Best Proximity Points for Cyclic φ-Contraction Maps date: 2016-08-28 words: 4372 flesch: 88 summary: Consider x0 ∈ A, then Sx0 ∈ B, so there exists y0 ∈ B such that y0 = Sx0. + ϕ(d(A,B)), for every x ∈ A and y ∈ B, then the pair (S,T) is called semi-cyclic ϕ−contraction keywords: d(a cache: ijaa-680.pdf plain text: ijaa-680.txt item: #524 of 571 id: ijaa-684 author: Zada, Akbar; Saifullah, Shahid; Ma, Zhenhua title: Common Fixed Point Theorems for G-Contraction in C*-Algebra-Valued Metric Spaces date: 2016-04-20 words: 2622 flesch: 81 summary: In this section, we prove common fixed point theorems for two mappings satisfying G–contractive condition in a complete C∗–valued metric space endowed with the graph G = (V,E). [8] L. Haung, X. Zhang, Cone metric space and fixed point theorems of contractive mappings, J. Math. keywords: metric; point cache: ijaa-684.pdf plain text: ijaa-684.txt item: #525 of 571 id: ijaa-685 author: Mishra, Vishnu Narayan; Pandey, Shikha title: On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators date: 2016-04-20 words: 6620 flesch: 86 summary: − 1 ) x (v) K(α,β)n,m ((t−x) 2; x,p,q) = [ α2 ([n + 1]p,q + β)2 + 2α [2]p,q([n + 1]p,q + β)2 ( p x bn + 1 − x bn )n+m p,q + (p2 x bn + 1 − x bn )n+mp,q [3]p,q([n + 1]p,q + β)2 ] b2n + [ 2α(p + 2q − 1)[n + m]p,q [2]p,q([n + 1]p,q + β)2 + { 1 + 2q Thus for u=0,1,2 we get K(α,β)n,m (1; x,p,q) = Tn,m(1; x bn ,p,q), ON CHLODOWSKY VARIANT OF (p,q) KANTOROVICH-STANCU-SCHURER OPERATORS 31 K(α,β)n,m (t; x,p,q) = [n + 1]p,qbn [n + 1]p,q + β 1∑ i=0 ( 1 i )( α [n + 1]p,q )1−i Tn,m(t i; x bn ,p,q) = ( [n + 1]p,q [n + 1]p,q + β ) bn { α [n + 1]p,q + Tn,m(t; x bn ,p,q) } , K(α,β)n,m (t 2; x,p,q) = [n + 1]2p,qb 2 n ([n + 1]p,q + β)2 2∑ i=0 ( 2 i )( α [n + 1]p,q )2−i keywords: bn +; x bn cache: ijaa-685.pdf plain text: ijaa-685.txt item: #526 of 571 id: ijaa-698 author: Mishra, Lakshmi Narayan; Srivastava, H. M.; Sen, Mausumi title: Existence Results for Some Nonlinear Functional-Integral Equations in Banach Algebra with Applications date: 2016-04-20 words: 4413 flesch: 79 summary: [34] D. O’Regan, Existence results for nonlinear integral equations, J. Math. References [1] R.P. Agarwal, N. Hussain, M.A. Taoudi, Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations, Abstr. keywords: equations; integral; nonlinear cache: ijaa-698.pdf plain text: ijaa-698.txt item: #527 of 571 id: ijaa-713 author: Salehi Shadkami, M.; Ahmadi Zand, M.R.; Davvaz, B. title: The Role of Complete Parts in Topological Polygroups date: 2016-04-20 words: 5332 flesch: 85 summary: So, x ∈ t◦ b−1 and x ∈ N ◦x ⊆ N ◦ t◦ b−1 = N ◦z◦b−1 ⊆ N ◦V ◦ U ◦H = ⋂ U∈νP (e) H ◦U = ⋂ U∈νP (e),V∈νP (e) U ◦H ◦V ; (2) If H is a normal subpolygroup, then H is a normal subpolygroup. keywords: polygroup cache: ijaa-713.pdf plain text: ijaa-713.txt item: #528 of 571 id: ijaa-716 author: Dhage, B.C.; Khurape, G.T.; Shete, A.Y.; Salunkhe, J.N. title: Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations date: 2016-06-13 words: 5221 flesch: 78 summary: For a given continuous function h : J → R, a function u ∈ C1(J,R) is a solution of the QFDE (3.3) cDqx(t) = h(t), t ∈ J, 0 < [0, 1], where cD1/2 denotes the Caputo fractional derivative of order 1/2, k : J×R → R and f : J ×R → R\{0} are two continuous functions defined by f(t,x) =   1, if x ≤ 0, 1 + x 1 + x , if x > 0. and k(t,x) = { 0 if x ≤ 0, log(1 + x) if x > 0 for t ∈ J and x ∈ R. If we take h(t,x) = arctan x, g(t,x,y) = 2 + tanh x + tanh y 16 and then it is easy to check that the conditions of Theorem 3.7 are satisfied with the lower solution u defined by u(t) keywords: fractional; x(t cache: ijaa-716.pdf plain text: ijaa-716.txt item: #529 of 571 id: ijaa-718 author: Felhi, Abdelbasset title: On Multi-Valued Weakly Picard Operators in Hausdorff Metric-Like Spaces date: 2016-06-13 words: 7267 flesch: 93 summary: x ∈ X,ε > 0}, where Bσ(x,ε) = {y ∈ X : |σ(x,y)−σ(x,x)| < ε}, for all x ∈ X and ε > 0. (0, 0)} ≤ ϕ(min{σ(y,x), x,y ∈ X, (x,y) 6= keywords: metric; space cache: ijaa-718.pdf plain text: ijaa-718.txt item: #530 of 571 id: ijaa-728 author: Kumar, Devendra title: On the Growth and Approximation of Transcendental Entire Functions on Algebraic Varieties date: 2016-08-28 words: 3849 flesch: 78 summary: [4] extended the results studied in [3] to transcendental entire functions f : T. Winiarski ([21],[22]) studied the growth of entire functions in terms of Lagrange polynomial approximation errors with respect to sup norm on a compact subset K (positive capacity) of C and Cn,n > 1. keywords: log cache: ijaa-728.pdf plain text: ijaa-728.txt item: #531 of 571 id: ijaa-73 author: Saluja, G. S. title: Fixed Point Theorems for T-Ciric Quasi-contractive Operator in CAT(0) Spaces date: 2013-08-17 words: 4591 flesch: 80 summary: [30] B.E. Rhoades, Fixed point iteration using infinite matrices, Trans. T-Ciric quasi-contractive operator, three-step iteration process, fixed point, strong convergence, CAT(0) space. keywords: d(tx cache: ijaa-73.pdf plain text: ijaa-73.txt item: #532 of 571 id: ijaa-744 author: Rao, Sabbavarapu Nageswara title: Existence of Multiple Positive Solutions for the System of Nonlinear Fractional Order Boundary Value Problem date: 2016-06-12 words: 5437 flesch: 91 summary: Tu ‖≤‖ u ‖, u ∈ P ∩∂Ω1 and ‖ Tu ‖≥‖ u ‖, u ∈ P ∩∂Ω2,(or) (ii) ‖ Tu ‖≥‖ u ‖, u ∈ P ∩∂Ω1 and ‖ Tu ‖≤‖ u ‖, u ∈ P ∩∂Ω2, holds. keywords: γ(q1 cache: ijaa-744.pdf plain text: ijaa-744.txt item: #533 of 571 id: ijaa-747 author: Kaushik, S.K.; Mantry, Poonam title: Computable Frames in Computable Banach Spaces date: 2016-06-12 words: 4656 flesch: 70 summary: The notion of computable Banach spaces with computable basis has already been discussed in [7]. computable function; computable Banach space. keywords: banach; computable; sequence; space cache: ijaa-747.pdf plain text: ijaa-747.txt item: #534 of 571 id: ijaa-750 author: Singh, Karunesh Kumar; Gairola, Asha Ram; ., Deepmala title: Approximation Theorems for q- Analouge of a Linear Positive Operator by A. Lupas date: 2016-08-28 words: 2900 flesch: 85 summary: ∣∣∣∣f ( [k]q [n]q )∣∣∣∣ ≤‖f‖. Thus |Ln,q(f; x) −f(x)| ≤ |Ln,q(f −g; x) − (f −g)(x)| + |Ln,q(g; x) −g(x)| ≤ 2‖f −g‖ + x([2]−(1−q)[n]qx) The purpose of the present paper is to introduce q− analouge of a sequence of linear and positive operators which was introduced by A. Lupas [1]. keywords: n]q; operators cache: ijaa-750.pdf plain text: ijaa-750.txt item: #535 of 571 id: ijaa-755 author: Noor, Muhammad Aslam; Noor, Khalida Inayat title: Some Implicit Methods for Solving Harmonic Variational Inequalities date: 2016-08-28 words: 2051 flesch: 59 summary: They have shown that the minimum of the differentiable harmonic convex function can be characterized by a class of variational inequalities, which is called harmonic variational inequality. The ideas and techniques of this paper may be starting point for a wide range of novel and innovative applications of harmonic variational inequalities in various fields. keywords: convex; harmonic; inequalities; noor; variational cache: ijaa-755.pdf plain text: ijaa-755.txt item: #536 of 571 id: ijaa-757 author: Abbasizadeh, N.; Davvaz, B. title: Category of Fuzzy Topological Polygroups date: 2016-06-13 words: 8413 flesch: 85 summary: polygroup; topological polygroup; fuzzy topological polygroups; category CF T P . Fuzzy topological polygroups induced by strong homomorphisms In this section, we show how to strong homomorphisms induce fuzzy topological polygroup structure on polygroups. keywords: fuzzy; neighborhood; open; polygroup cache: ijaa-757.pdf plain text: ijaa-757.txt item: #537 of 571 id: ijaa-761 author: Shahi, Priya; Kaur, Jatinderdeep; Bhatia, S. S. title: On Fixed Points of Generalized α-φ Contractive Type Mappings in Partial Metric Spaces date: 2016-08-28 words: 6211 flesch: 82 summary: Recently, Samet et al. (B. Samet, C. Vetro and P. Vetro, Fixed point theorem for α-ψ contractive type mappings, Nonlinear Anal. 75 (2012), 2154–2165) introduced a very interesting new category of contractive type mappings known as α-ψ contractive type mappings. As consequences of our main results, we obtain fixed point theorems on partial metric spaces endowed with a partial order and that for cyclic contractive mappings. keywords: metric; point cache: ijaa-761.pdf plain text: ijaa-761.txt item: #538 of 571 id: ijaa-764 author: Budak, Hüseyin; Sarikaya, Mehmet Zeki title: Some Perturbed Ostrowski Type Inequalities for Functions Whose First Derivatives Are of Bounded Variation date: 2016-06-13 words: 3537 flesch: 89 summary: 156 BUDAK AND SARIKAYA [6] H. Budak and M.Z. Sarikaya, A new generalization of Ostrowski type inequality for mappings of bounded variation, RGMIA Research Report Collection, 18(2015), Art. [9] H. Budak and M.Z. Sarikaya, A companion of Ostrowski type inequalities for mappings of bounded variation and some applications, RGMIA Research Report Collection, 19(2016), Art. keywords: b−a cache: ijaa-764.pdf plain text: ijaa-764.txt item: #539 of 571 id: ijaa-767 author: Dhage, B.C. title: Dhage Iteration Method for Nonlinear First Order Hybrid Differential Equations with a Linear Perturbation of Second Type date: 2016-08-28 words: 6463 flesch: 77 summary: + λ [ x(t) −f(t,x(t)) ] = g(t,x(t)), t ∈ J, x(0) + λ [ x(t) −f(t,x(t)) ] = g(t,x(t)), t ∈ J, x(0) keywords: x(t cache: ijaa-767.pdf plain text: ijaa-767.txt item: #540 of 571 id: ijaa-77 author: Olteanu, Octav title: Polynomial Approximation on Unbounded Subsets and the Markov Moment Problem date: 2013-09-04 words: 1595 flesch: 75 summary: ~ 1/1/ ~~ 0 1 11 uBBABB n k k n k k                                  □ X Y     YyXx Jj j Jj j   ,  YXLFF ,, 21   YXLF ,         ;,21 JjyxFXxxFxFxF jj   JJ 0   , 0 R Jj j       .,, 1122 00 2112  FFyXx Jj jj Jj jj                 YXBF ,         ; ,,,...,,...,0,, 11      F XBBAAFjUF nn n jj   .,...,,0     . ,,...,,..., ,...,,..., 11 11        FX FBBAA BBAAFFF nn nn □ n R keywords:  ;  ;  ;   cache: ijaa-77.pdf plain text: ijaa-77.txt item: #541 of 571 id: ijaa-771 author: Krushna, B.M.B.; Prasad, K.R. title: On Existence of Solutions to the Caputo Type Fractional Order Three-Point Boundary Value Problems date: 2016-10-23 words: 3198 flesch: 81 summary: Let y(t) ∈ Cq[0, 1] be the solution of fractional order boundary value problem (1.1)-(1.2). In consequence, fractional order differential equations have achieved great deal of interest and attention of researchers [1, 2, 4, 7, 10, 12, 13, 14, 16, 17, 18]. keywords: fractional; order; value cache: ijaa-771.pdf plain text: ijaa-771.txt item: #542 of 571 id: ijaa-778 author: Turkoglu, Duran; Kilinc, Emine title: Some Fixed Point Results for Caristi Type Mappings in Modular Metric Spaces with an Application date: 2016-08-28 words: 3201 flesch: 82 summary: [12] H. Dehghan, M. Eshaghi Gordji, A. Ebadian, Comment on ’Fixed point theorems for contraction mappings in modular metric spaces, Fixed Point Theory and Applications, 2012(2012), Art. In 2008, Chistyakov introduced the notion of modular metric space generated by F-modular and developed the theory of this space [8], on the same idea was defined the notion of a modular on an arbitrary set and developed the theory of metric space generated by modular such that called the modular metric spaces in 2010 keywords: metric; modular; point cache: ijaa-778.pdf plain text: ijaa-778.txt item: #543 of 571 id: ijaa-781 author: Özarslan, Hikmet Seyhan title: On Generalized Absolute Matrix Summability Methods date: 2016-08-28 words: 1734 flesch: 77 summary: Then A defines the sequence-to-sequence transformation, mapping the sequence s = (sn) to As = (An(s)), where An(s) = n∑ v=0 anvsv, n = 0, 1, ...(4) |∆̄An(s)| k < ∞.(6) If we take ϕn = Pn pn , then ϕ−|A,pn|k summability reduces to |A,pn|k summability. keywords: o(1; v=1 cache: ijaa-781.pdf plain text: ijaa-781.txt item: #544 of 571 id: ijaa-784 author: Budak, Huseyin; Erden, Samet; Sarikaya, M. Zeki title: New Weighted Ostrowski Type Inequalities for Mappings Whose nth Derivatives Are of Bounded Variation date: 2016-08-28 words: 3565 flesch: 82 summary: In [1] and [2], the authors proved some generalizations of weighted companion of Ostrowski type inequality for mappings of bounded variation NEW WEIGHTED OSTROWSKI TYPE INEQUALITIES 73 In this paper, we establish a generalized weighted Ostrowski type integral inequality for mappings whose nth derivatives are of bounded variation. [7] H. Budak and M. Z. Sarikaya, A new generalization of Ostrowski type inequality for mappings of bounded variation, RGMIA Research Report Collection, 18 (2015), Art. keywords: ∣∣∣∣∣∣ cache: ijaa-784.pdf plain text: ijaa-784.txt item: #545 of 571 id: ijaa-786 author: Shammaky, A. E.; Bakhit, M. A. title: Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball date: 2016-10-23 words: 4731 flesch: 86 summary: For every fixed z ∈ B, we put (2.1) F(w) = (1 −|z|2) n+1 2 |f(Φa(w))| (1 −〈w,z〉)n+1 , w ∈ B, which is clearly F ∈H(B). Take and fix w ∈ B, from ρ(Φa(z),w) keywords: n+1; nk(b; sup cache: ijaa-786.pdf plain text: ijaa-786.txt item: #546 of 571 id: ijaa-789 author: Eddine, Oussaeif Taki; Abdelfatah, Bouziani title: Mixed Problem with an Integral Two-Space-Variables condition for a Third Order Parabolic Equation date: 2016-10-23 words: 7851 flesch: 79 summary: c©2016 Authors retain the copyrights of their papers, and all open access articles are distributed under the terms of the Creative Commons Attribution License. 98 MIXED PROBLEM WITH INTEGRAL CONDITIONS 99 with the conditions ∂u ∂x ∣∣∣∣ x=i = 0, for i = {0,α,β, 1} , ∂2u ∂x2 ∣∣∣∣ x=0 = 0, ∂2u ∂x2 ∣∣∣∣ x=1 = 0.(3) and with integral conditions (4) ∫ α 0 u (x,t) dx + ∫ 1 β u (x,t) dx MIXED PROBLEM WITH INTEGRAL CONDITIONS 101∫ Ωα f.Mu1dxdt = ∫ Ωα f. ( 4 ∫ α x ∂u ∂t dξ − ∫ α x (∫ α ξ ∂u ∂t dη − (1 − ξ) ∂u ∂t ) dξ ) dxdt = ∫ Ωα f. ( 4 ∫ α x ∂u ∂t ) dxdt + ∫ keywords: dxdt; ∂u ∂t; ∂u ∂x; − ∫; ∫ t; ∫ α cache: ijaa-789.pdf plain text: ijaa-789.txt item: #547 of 571 id: ijaa-79 author: Muthumalai, Ramesh Kumar title: Numerical Differentiation and Integration through Aitken-Neville Schemes date: 2013-09-04 words: 2608 flesch: 78 summary: Similarly, numerical integration formula through Aitken scheme can be easily found from (2.1) as follows (3.4) ∫ x+h x f(x)dx = γ′0f(x)χ + n∑ k=χ γ′kà (k) 0,1,2,... Where N (r) j,j+1,j+2,...,j+i[x] and Ñ (r) j,j+1,j+2,...,j+i[x] are constructed by Neville scheme of interpolation, i = 1, 2, . . keywords: numerical cache: ijaa-79.pdf plain text: ijaa-79.txt item: #548 of 571 id: ijaa-791 author: Saluja, G. S. title: An Implicit Algorithm for a Family of Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces date: 2016-10-23 words: 5930 flesch: 85 summary: � As shown in the preceding proof, the property needed to assure that p ∈ F is exactly the fol- lowing one. [29] introduced the following implicit iteration process {xn} defined by xn = αnxn−1 + (1 −αn)Tn(modN)xn for n ≥ 1,(1.5) 120 SALUJA where x0 ∈ K is an initial point, {αn} is a real sequence in (0, 1) and proved a weak convergence of the sequence {xn} defined by (1.5) to a common fixed point p ∈ F = ∩Ni=1F(Ti). keywords: k(n; mappings cache: ijaa-791.pdf plain text: ijaa-791.txt item: #549 of 571 id: ijaa-792 author: Ghaani Farashahi, Arash title: Peter-Weyl Theorem for Homogeneous Spaces of Compact Groups date: 2016-12-23 words: 4799 flesch: 74 summary: Therefore π(x)TπH = T π Hπ(x) for x ∈ G, which implies T π H ∈ C(π). Thus, for t ∈ H we can write π(t) keywords: l2(g; theorem cache: ijaa-792.pdf plain text: ijaa-792.txt item: #550 of 571 id: ijaa-795 author: Sharma, Anupam title: C-Class Functions on Shorter Proofs of Some Even-Tupled Coincidence Theorems in Ordered Metric Spaces date: 2016-10-23 words: 6390 flesch: 88 summary: Then F is said to have the mixed g-monotone property if F is g-nondecreasing in its odd position arguments and g-nonincreasing in its even position arguments, that is, for x1,x2,x3, ...,xn ∈ X, if for all x11,x 1 2 ∈ X, gx11 � gx12 ⇒ F(x11,x2,x3, ...,xn) � F(x12,x2,x3, ...,xn) for all x21,x 2 2 ∈ X, gx21 � gx22 ⇒ F(x1,x22,x3, ...,xn) � F(x1,x21,x3, ...,xn) for all x31,x 3 2 ∈ X, gx31 � gx32 ⇒ F(x1,x2,x31, ...,xn) � F(x1,x2,x32, ...,xn) ... for all xn1 ,x n 2 ∈ X, gxn1 � gxn2 ⇒ F(x1,x2,x3, ...,xn2 ) � F(x1,x2,x3, ...,xn1 ). = lim m→∞ g(xnm) = x n, for some x1,x2, ...,xn ∈ X are satisfied. keywords: fixed; metric; point cache: ijaa-795.pdf plain text: ijaa-795.txt item: #551 of 571 id: ijaa-797 author: Budak, Hüseyin; Sarikaya, Mehmet Zeki title: On Ostrowski Type Inequalities for Functions of Two Variables with Bounded Variation date: 2016-10-23 words: 5173 flesch: 91 summary: + xi+12 ∣∣∣∣ ≤ 12υ(h), and similarly, (4.6) max j∈[0,...,m−1] ∣∣∣∣ηj − yj + yj+12 ∣∣∣∣ ≤ 12υ(l). In this paper, we establish a new generalization of Ostrowski type inequalities for func- tions of two independent variables with bounded variation and apply it for qubature formulae. keywords: n−1∑; ∣∣∣∣ cache: ijaa-797.pdf plain text: ijaa-797.txt item: #552 of 571 id: ijaa-80 author: MENSAH, Yaogan title: Facts about the Fourier-Stieltjes Transform of Vector Measures on Compact Groups date: 2013-07-31 words: 2588 flesch: 74 summary: vector measure, Fourier-Stieltjes transform, Kronecker product. What can be the possible applications to Physics (for example) for joining Kronecker product with Fourier-Stieltjes transform of vector measures? FACTS ABOUT THE FOURIER-STIELTJES TRANSFORM 25 References [1] Assiamoua, V.S.K. and Olubummo, A., Fourier-Stieltjes transforms of vector-valued measures on compact groups, Acta Sci. Math.(Szeged), 53 (1989), 301-307. keywords: kronecker; product; vector cache: ijaa-80.pdf plain text: ijaa-80.txt item: #553 of 571 id: ijaa-804 author: Panigrahi, Trailokya title: Application of Hypergeometric Distribution Series on Certain Subclass of Analytic Functions date: 2016-10-23 words: 2725 flesch: 84 summary: [ ∞∑ l=0 ( M l )( N −M n− l ) − ( N −M n )] = M(k + 1)( N n ) A1 − ( N−M n )( N n ) ∞∑ l=2 l(l− 1) ( M l− 1 )( N −M n− l + 1 ) |al| ≤ 1 k + 2 Using the coefficient estimate (17), it is again sufficient to show that (22) P2 = 1( N n ) ∞∑ l=2 (l− 1) ( M l− 1 )( N −M n− l + 1 ) ≤ secλ (k + 2)(B −A)(1 −α) . keywords: n n cache: ijaa-804.pdf plain text: ijaa-804.txt item: #554 of 571 id: ijaa-814 author: Abbasizadeh, N.; Davvaz, B. title: Intuitionistic Fuzzy Topological Polygroups date: 2016-10-23 words: 8735 flesch: 87 summary: Intuitionistic fuzzy topological polygroups In this section, we define and study the concept of intuitionistic fuzzy topological polygroups, and we prove some properties in this respect. keywords: fuzzy; polygroup cache: ijaa-814.pdf plain text: ijaa-814.txt item: #555 of 571 id: ijaa-822 author: Latif, M. A.; Dragomir, S. S.; Momoniat, E. title: Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means date: 2016-12-23 words: 6749 flesch: 87 summary: (2.2) 4 LATIF, DRAGOMIR AND MOMONIAT Analogously, we have − I2 = 2ab b−a f (b) ∫ b a g (x) If g (x) = ab b−a for all x ∈ [a,b] in Theorem 2.1, then∣∣∣∣∣f (b) + f (a)2 − abb−a ∫ b a f (x) x2 dx ∣∣∣∣∣ ≤ ( 1 2 )1/q ( b−a ab )( ab b + a )2 × { [λ1 (a,b)] 1−1/q [ ξ1 (a,b) ∣∣∣f′ (a)∣∣∣q + ξ2 (a,b) ∣∣∣f′ (b)∣∣∣q]1/q + keywords: ∣∣∣f′ cache: ijaa-822.pdf plain text: ijaa-822.txt item: #556 of 571 id: ijaa-829 author: Wang, Wen; Qi, Jibing title: Some New Estimates of Hermite-Hadamard Inequalities for Harmonically Convex Functions with Applications date: 2016-12-23 words: 2819 flesch: 82 summary: If we take λ = q = 1 and M = max{|f′(a)|, |f′(b)|}, then∣∣∣∣∣f(a) − abb−a ∫ b a f(x) x2 dx ∣∣∣∣∣ ≤ M(b−a)ab If |f′(x)|q is harmonically convex on [a,b] for q > 1, 1 p + 1 q = 1, then∣∣∣∣∣f(a) + f(b)2 − abb−a ∫ b a f(x) x2 dx ∣∣∣∣∣ ≤ ab(b−a) 2 ( 1 p + 1 )1 p (µ1|f′(a)|q + µ2|f′(b)|q) 1 q , (1.6) where µ1 = [ a2−2q + b1−2q[(b−a)(1 − 2q) keywords: tb−1 cache: ijaa-829.pdf plain text: ijaa-829.txt item: #557 of 571 id: ijaa-838 author: Sarikaya, Mehmet Zeki; Usta, Fuat title: On Comparison Theorems for Conformable Fractional Differential Equations date: 2016-10-23 words: 3181 flesch: 75 summary: Now, we give the following Riccati equations for conformable fractional differential equations; (3.4) Dαu(t) In the following the- orems we give the comparison theorems for conformable fractional differential equations. keywords: equations; fractional cache: ijaa-838.pdf plain text: ijaa-838.txt item: #558 of 571 id: ijaa-839 author: Das, Dipankar; Goswami, Nilakshi; Mishra, Vishnu Narayan title: Some Results on Fixed Point Theorems in Banach Algebras date: 2016-12-23 words: 4987 flesch: 79 summary: ∈ I. Let S : X → X defined by S(y) = √ y, y ∈ X, where √ y(t) ∈ I −T1 �T2. keywords: banach; let cache: ijaa-839.pdf plain text: ijaa-839.txt item: #559 of 571 id: ijaa-841 author: Baloch, Imran Abbas; Icscan, Imdat; Dragomir, Silvestru Sever title: Fejer Type Inequalities for Harmonically (s,m)-Convex Functions date: 2016-10-23 words: 4889 flesch: 82 summary: 2ab a+b a g(x)f(x) x2 dx + 2 ∫ a 2ab a+b g(x)f(x) x2 dx ] = f(a) + f(b) 2 ∫ b a g(x) x2 dx− ∫ b a g(x)f(x) x2 dx � Now, we present new Fejér type inequalities for harmonically (s,m)-convex functions, which give the weighted generalization of some of the results established in resent literature. Introduction A function f : I ⊆ R → R is called convex function if f(λx + (1 − λ)y) ≤ λf(x) keywords: b−a; b−a b cache: ijaa-841.pdf plain text: ijaa-841.txt item: #560 of 571 id: ijaa-844 author: Noor, Muhammad Aslam; Noor, Khalida Inayat; Iftikhar, Sabah title: Some Integral Inequalities for beta-Preinvex Functions date: 2016-12-23 words: 5324 flesch: 89 summary: preinvex functions; beta convex function; beta functions; Hermite-Hadamard type inequality. We recall the following special function which is known as Beta function. keywords: + η(b; preinvex cache: ijaa-844.pdf plain text: ijaa-844.txt item: #561 of 571 id: ijaa-856 author: Özarslan, Hikmet Seyhan title: Some Equivalence Theorems on Absolute Summability Methods date: 2016-12-23 words: 1824 flesch: 82 summary: If we set δ = 0, then we obtain | N̄,pn |k summability (see [1]). In the special case pn = 1 for all values of n, then | N̄,pn; δ |k summability is the same as | C, 1; δ |k summability (see [6]). keywords: v=1 cache: ijaa-856.pdf plain text: ijaa-856.txt item: #562 of 571 id: ijaa-863 author: Demir, Izzettin title: An Approach to the Concept of Soft Vieotoris Topology date: 2016-10-23 words: 5657 flesch: 85 summary: In the present paper, we study the Vietoris topology in the context of soft set. After presentation of the operations of soft sets [21], the properties and applications of this theory have been studied in- creasingly ([4], [23], [25]). keywords: set; soft; space cache: ijaa-863.pdf plain text: ijaa-863.txt item: #563 of 571 id: ijaa-864 author: Foroutan, Mohammadreza; Ebadian, Ali title: Chebyshev Rational Approximations for the Rosenau-KdV-RLW Equation on the Whole Line date: 2018-01-01 words: 5013 flesch: 80 summary: [9] M. Dehghan, A.Shokri, A numerical method for KdV equation using collocation and radial basis functios, Nonlinear Dyn. Some of these well-known models are Korteweg-de Vries (KdV) equation, regularized long wave (RLW) equation, and Rosenau equation. keywords: appl; chebyshev; equation; kdv; rlw; rosenau cache: ijaa-864.pdf plain text: ijaa-864.txt item: #564 of 571 id: ijaa-879 author: Tunç, Tuba; Sarıkaya, Mehmet Zeki; Srivastava, H. M. title: Some Generalized Steffensen's Inequalities via a New Identity for Local Fractional Integrals date: 2016-12-23 words: 4230 flesch: 82 summary: + α) × ∫ b a (x− t)(n−2)α κα(t,x)f(nα)(t)(dt)α. In this study, we first give an identity for local fractional integrals. keywords: fractional; γ(1 cache: ijaa-879.pdf plain text: ijaa-879.txt item: #565 of 571 id: ijaa-880 author: Ebadian, A.; Shams Yousefi, M.; Farahrooz, F.; Najand Foumani, M. title: On the Banach Space Techniques in the Existence and Uniqueness of the Fuzzy Fractional Klein-Gordon Equation's Solution date: 2016-12-23 words: 4522 flesch: 83 summary: For this purpose we show that the FFKGE is equivalent to fuzzy integral equation. The fractional transform In this section, we reduce FFKGE to an ordinary differential equation, then we show that this equation is equivalent to fuzzy integral equation. keywords: equation; solution cache: ijaa-880.pdf plain text: ijaa-880.txt item: #566 of 571 id: ijaa-882 author: Nouioua, Farid; Ardjouni, Abdelouaheb; Merzougui, Abdelkerim; Djoudi, Ahcene title: Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation date: 2017-02-25 words: 3656 flesch: 83 summary: By employing Green’s function and Krasnoselskii’s fixed point theorem, we state and prove the existence of positive periodic solutions to the third-order delay differential equation. In [22], Ren, Siegmund and Chen discussed the existence of positive periodic solutions for the third-order differential equation x′′′ (t) + p (t) x′′ keywords: exp; periodic cache: ijaa-882.pdf plain text: ijaa-882.txt item: #567 of 571 id: ijaa-89 author: Bagewadi, C.S.; Ingalahalli, Gurupadavva title: Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds date: 2017-06-30 words: 5140 flesch: 78 summary: Also an example of Ricci solitons in 3-dimensional (ε,δ)-trans-Sasakian manifold is provided in the region where trans-Sasakian manifold is expanding (shrinking) the Lorentzian trans-Sasakian manifold is shrinking (expanding). Ricci soliton; (ε,δ)-trans-Sasakian manifold; Einstein manifold. keywords: manifold; ricci cache: ijaa-89.pdf plain text: ijaa-89.txt item: #568 of 571 id: ijaa-905 author: Mursaleen, M.; Nasiruzzaman, Md.; Al-Abied, A.A.H. title: Dunkl Generalization of q-Parametric Szasz-Mirakjan Operators date: 2017-02-25 words: 3784 flesch: 85 summary: It is known that limδ→0+ ω(f,δ) = 0 for f ∈ C[0,∞) and for any δ > 0 one has | f(y) −f(x) Then for x ∈ R+, f ∈ CB(R+), we have | D∗n,q(f; x)−f(x) |≤ 2M { ω2 ( f; √ 2x(1 −q) + keywords: d∗n; operators cache: ijaa-905.pdf plain text: ijaa-905.txt item: #569 of 571 id: ijaa-91 author: Olteanu, Octav title: Newton's Method for Convex Operators and Applications date: 2013-10-08 words: 2312 flesch: 77 summary: The last relations (1) and the convexity of ,P yield                 0,0 110   kkkkkkk xPxPxxxPxPxPbPxP Hence   .0 We derive the following useful relations        keywords:   cache: ijaa-91.pdf plain text: ijaa-91.txt item: #570 of 571 id: ijaa-914 author: Fisher, Brian; Ozcag, Emin; Al-Sirehy, Fatma title: On the Composition and Neutrix Composition of the Delta Function and the Function cosh^{-1}(|x|^{1/r}+1) date: 2017-02-25 words: 3839 flesch: 82 summary: International Journal of Analysis and Applications ISSN 2291-8639 Volume 13, Number 2 (2017), 161-169 http://www.etamaths.com ON THE COMPOSITION AND NEUTRIX COMPOSITION OF THE DELTA FUNCTION AND THE FUNCTION cosh−1(|x|1/r + 1) BRIAN FISHER1, EMIN OZCAG2,∗ AND FATMA AL-SIREHY3 Abstract. = 0 COMPOSITION δ(s)(cosh−1(|x|1/r + 1)) keywords: composition cache: ijaa-914.pdf plain text: ijaa-914.txt item: #571 of 571 id: ijaa-96 author: Banerjee, Dibyendu; Mondal, Nilkanta title: On the Growth of Iterated Entire Functions date: 2013-10-08 words: 1910 flesch: 88 summary: According to Lahiri and Banerjee [4] iff(z) and g(z) be entire functions then the iteration of f with respect to g is defined as follows: f1(z) = f(z) f2(z) = f(g(z)) Clearly all fn(z) and gn(z) are entire functions. keywords: t(r; ρ(p cache: ijaa-96.pdf plain text: ijaa-96.txt