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

Autor: Abdelatif Boutiara, Mohamed Rhaima, Lassaad Mchiri, Abdellatif Ben Makhlouf
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 7, Pp 15773-15788 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023805?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals