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