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Existence of anti-periodic solutions for Ψ-Caputo-type fractional p-Laplacian problems via Leray--Schauder degree theory

  • Ali El Mfadel EMAIL logo , Said Melliani and M’hamed Elomari
Published/Copyright: March 31, 2023

Abstract

The main crux of this work is to study the existence of solutions for a certain type of nonlinear Ψ-Caputo fractional differential equations with anti-periodic boundary conditions and p-Laplacian operator. The proofs are based on the Leray–Schauder degree theory and some basic concepts of Ψ-Caputo fractional calculus. As an application, our theoretical result has been illustrated by providing a suitable example.

MSC 2020: 34A08; 26A33; 34K37

Acknowledgements

The authors are thankful to the referee for her/his valuable suggestions towards the improvement of the paper.

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Received: 2022-07-18
Revised: 2022-10-26
Accepted: 2023-02-28
Published Online: 2023-03-31
Published in Print: 2023-08-01

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