Existence and Ulam stability for implicit fractional q-difference equations

Existence and Ulam stability for implicit fractional q-difference equations

Abstract This 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...

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Bibliographic Details
Main Authors: Saïd Abbas, Mouffak Benchohra, Nadjet Laledj, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Advances in Difference Equations
Subjects:
Fractional q-difference equation
Implicit
Ulam–Hyers–Rassias stability
Fixed point
Online Access:http://link.springer.com/article/10.1186/s13662-019-2411-y
Description
Summary:Abstract This 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.
ISSN:1687-1847

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