Existence and Ulam stability for implicit fractional q-difference equations

Author:

Abbas Saïd,Benchohra Mouffak,Laledj Nadjet,Zhou YongORCID

Abstract

AbstractThis paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and uniqueness of solutions, next we prove that our problem is generalized Ulam–Hyers–Rassias stable. Two illustrative examples are given in the last section.

Funder

Fundo para o Desenvolvimento das Ciências e da Tecnologia

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference40 articles.

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