id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5641	Alsolmi, Meshayil M.; Alshabhi, Salah H. ; Mohammed, Mustafa; Khalid, Thwiba A.; Magzoub, Mona ; Taha, Nidal E. ; Taha, Khdija O. ; Bakery, Awad A.	On a New Stochastic Space with Applications to Nonlinear Economic Models	2025	20	.pdf	application/pdf	6656	425	87	The conditions (1c) and (a2): ∥δd̂∥p−qN = ∑ l∈N  ℏ̂ (∑l z=0 f 2 zqzδd̂z, 0̂ ) flfl+1 tl ≤ sup l |δ|tl ∑ l∈N  ℏ̂ (∑l z=0 f 2 zqzd̂z, 0̂ ) flfl+1 tl = C1∥d̂∥p−qN < ∞. Hence, δd̂ ∈ γSf (q, t). The conditions (2c) and (a4): Assume |d̂b| ≤ |k̂b|, for b ∈ N and |k̂| ∈ γSf (q, t).	cache/ejpam-5641.pdf	txt/ejpam-5641.txt