On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order via Kuratowski MNC Technique
Date
2021-05-17
Authors
Refice, Ahmed
Said Souid, Mohammed
Stamova, Ivanka
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
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.
Description
https://www.mdpi.com/2227-7390/9/10/1134/htm
Keywords
derivatives and integrals of variable-order, boundary value problem, Darbo's fixed point theorem, measure of noncompactness, Ulam-Hyers-Rassias stability, Hadamard derivative, derivatives and integrals of variable-order, boundary value problem, Darbo's fixed point theorem, measure of noncompactness, Ulam-Hyers-Rassias stability, Hadamard derivative
Citation
Department
Mathematics