Analysis of Nonlinear Hadamard Fractional Differential Inclusions via Measure of Noncompactness

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DOI: https://doi.org/10.28924/2291-8639-23-2025-37
Published: Feb 14, 2025
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Habib Djourdem, Mohammed Ali Alghamdi, Elsayed Mohamed Elsayed, Analysis of Nonlinear Hadamard Fractional Differential Inclusions via Measure of Noncompactness, Int. J. Anal. Appl., 23 (2025), 37.

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Habib Djourdem, Mohammed Ali Alghamdi, Elsayed Mohamed Elsayed

Abstract

The goal of this paper is to consider a class of Hadamard fractional differential inclusions with three point integral boundary conditions. The proof is based on the set-valued analog of Mönch fixed point theorem combined with the technique of measures of noncompactness in order to establish the existence of at least one solution and an illustrative example is given to show the applicability of this obtained result. We also investigate some Filippov’s type results for this problem.

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