On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique

Ahmed Refice, Mohammed Said Souid and Ivanka Stamova
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Ahmed Refice: Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi bel Abbes 22000, Algeria
Mohammed Said Souid: Department of Economic Sciences, University of Tiaret, Tiaret 14035, Algeria
Ivanka Stamova: Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA

Mathematics, 2021, vol. 9, issue 10, 1-16

Abstract: In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed point theorem (DFPT) combined with Kuratowski measure of noncompactness (KMNC). We construct an example to illustrate the validity of the observed results.

Keywords: derivatives and integrals of variable-order; boundary value problem; Darbo’s fixed point theorem; measure of noncompactness; Ulam–Hyers–Rassias stability; Hadamard derivative (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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