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Existence and Ulam stability for implicit fractional q-difference equations
Journal article   Open access  Peer reviewed

Existence and Ulam stability for implicit fractional q-difference equations

Said Abbas, Mouffak Benchohra, Nadjet Laledj and Yong Zhou
Advances in difference equations, Vol.2019(1), pp.1-12
20/11/2019
DOI: https://doi.org/10.1186/s13662-019-2411-y

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.1186/s13662-019-2411-yView
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