4.7 Article

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

期刊

MATHEMATICS
卷 9, 期 10, 页码 -

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MDPI
DOI: 10.3390/math9101134

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derivatives and integrals of variable-order; boundary value problem; Darbo’ s fixed point theorem; measure of noncompactness; Ulam– Hyers– Rassias stability; Hadamard derivative

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This manuscript examines the existence and stability of solutions of boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained using the Darbo's fixed point theorem combined with Kuratowski measure of noncompactness, and an example is constructed to illustrate the validity of the results.
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.

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