RETRACTED: Qualitative analysis of coupled system of sequential fractional integrodifferential equations (Retracted article. See vol. 7, pg. 16555, 2022)

Hira Waheed,Akbar Zada,Rizwan Rizwan,Choonkil Park,Niamat Ullah

AIMS MATHEMATICS（2022）

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摘要

In this article we explore the existence, uniqueness, and stability for a coupled system of sequential fractional integrodifferential equations involving psi-Hilfer fractional derivative with multi- point boundary conditions. For the uniqueness result we use Banach fixed point theorem, and the Leray-Schauder alternative to obtain the existence result. Further, we investigate various kinds of stability such as Hyers-Ulam stability. Examples are provided to verify our results.

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关键词

psi-Hilfer fractional derivative, system of integrodi fferential equations, existence and uniqueness, stability, controllability, fixed point theorem

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