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

被引：31

作者：

Refice, Ahmed ^{[1
]}

Souid, Mohammed Said ^{[2
]}

Stamova, Ivanka ^{[3
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Sidi Bel Abbes 22000, Algeria

[2] Univ Tiaret, Dept Econ Sci, Tiaret 14035, Algeria

[3] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA

来源：

MATHEMATICS | 2021年 / 9卷 / 10期

关键词：

derivatives and integrals of variable-order; boundary value problem; Darbo’ s fixed point theorem; measure of noncompactness; Ulam– Hyers– Rassias stability; Hadamard derivative; INITIAL-VALUE PROBLEM; NUMERICAL-METHODS; DERIVATIVES; UNIQUENESS; STABILITY; EXISTENCE;

D O I：

10.3390/math9101134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：16

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