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arXiv · 2302.12220

Existence and stability results for a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions

Faouzi Haddouchi·Mohammad Esmael Samei·Shahram Rezapour
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Abstract

This paper deals with the existence and uniqueness of solutions for a nonlinear boundary value problem involving a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle, Sadovski's fixed point theorem, and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk. In addition, the Ulam-Hyers stability of solutions is discussed. Finally, the obtained results are illustrated by examples.

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Faouzi Haddouchi, Mohammad Esmael Samei, Shahram Rezapour. 2023-02-05. Existence and stability results for a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions. https://arxiv.org/abs/2302.12220

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