Using Krasnoselskii's theorem to investigate the Cauchy and neutral fractional<i>q</i>-integro-differential equation<i>via</i>numerical technique

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چکیده

Abstract This article discusses the stability results for solution of a fractional q -integro-differential problem via integral conditions. Utilizing Krasnoselskii’s, Banach fixed point theorems, we demonstrate existence and uniqueness results. Based on obtained, conditions are provided to ensure generalized Ulam Ulam–Hyers–Rassias stabilities original system. The illustrated by two examples.

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ژورنال

عنوان ژورنال: Nonlinear Engineering

سال: 2022

ISSN: ['2192-8010', '2192-8029']

DOI: https://doi.org/10.1515/nleng-2022-0023