Cauchy problem for fractional $ {(p, q)} $-difference equations-Reference-Cited by-同舟云学术

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

Published:2023 Issue:7 Volume:8 Page:15773-15788
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Boutiara Abdelatif¹,Rhaima Mohamed²,Mchiri Lassaad³,Makhlouf Abdellatif Ben⁴

Affiliation:

1. Department of Mathematics and Computer Science, University of Ghardaia, BP 455 Ghardaia 47000, Algeria

2. Department of Statistics and Operations Research, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia

3. ENSIIE, University of Evry-Val-d'Essonne, 1 square de la Résistance 91025 Évry-Courcouronnes cedex, France

4. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Tunisia

Abstract

<abstract><p>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-order equations in a Banach space. Also, we prove a theorem on the global convergence of successive approximations to the unique solution of our problem. Finally, the application of the main results is demonstrated by presenting numerical examples.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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