id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4384	Raad, Sameeha; AlQurashi, Khawlah	Toeplitz Matrix and Nyström Method for Solving Linear Fractional Integro-differential Equation	2022	14	.pdf	application/pdf	4144	230	74	= λ Γ(α) ∫ t 0 ∫ b a F (t, s)k(x, y)[un−1(y, s)− un−2(y, s)]dyds, (8) S. Raad, K. AlQurashi / Eur. (10) Inequality (10) for n = 1, yields ||ξ1(x, t)|| ≤ σ||ξ0(x, t)|| ; ( σ = |λ|BQ(b− a) Γ(α) ) , (11) from (4) and (7), we have |ξ0(x, t)| ≤ |u0(x)|+ 1 Γ(α) ∫ t 0 |F (t, s)||f(x, s)|ds, after applying Cauchy-Schwarz inequality, we get ||ξ0(x, t)|| ≤ max a≤x≤b |u0(x)|+ 1 Γ(α) (∫ T 0 ∫ T 0 |F (t, s)|2dsdt ) 1 2 max a≤x≤b ∣∣∣ ∫	cache/ejpam-4384.pdf	txt/ejpam-4384.txt