Cauchy problem for fractional $ {(p, q)} $-difference equations

• Published in: AIMS mathematics Vol. 8; no. 7; pp. 15773 - 15788
• Main Authors: Boutiara, Abdelatif, Rhaima, Mohamed, Mchiri, Lassaad, Makhlouf, Abdellatif Ben
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: fractional $ {(p; global convergence; measure of non-compactness; meir-keeler condensing operators; q)} $-calculus; successive approximations

In this research article, we deal with the global convergence of successive approximations (s.a) as well as the existence of solutions to a fractional $ {(p, q)} $-difference equation. Then, we discuss the existence result of the solutions of Caputo-type $ {(p, q)} $-difference fractional vector-ord...