Multiterm Impulsive Caputo-Hadamard Type Differential Equations of Fractional Variable Order

被引：12

作者：

Benkerrouche, Amar ^{[1
]}

Souid, Mohammed Said ^{[2
]}

Stamov, Gani ^{[3
]}

Stamova, Ivanka ^{[3
]}

机构：

[1] Ziane Achour Univ Djelfa, Dept Math, Djelfa 17000, Algeria

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

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

来源：

AXIOMS | 2022年 / 11卷 / 11期

关键词：

Caputo-Hadamard fractional derivative; variable order; impulses; existence of solutions; uniqueness; fixed point theorem; Ulam-Hyers stability; STABILITY; DERIVATIVES; UNIQUENESS; EXISTENCE;

D O I：

10.3390/axioms11110634

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo-Hadamard fractional derivative. The fundamental problems of existence and uniqueness of solutions are studied, and new existence and uniqueness results are established in the form of two fixed point theorems. In addition, Ulam-Hyers stability sufficient conditions are proved illustrating the suitability of the derived fundamental results. The obtained results are supported also by an example. Finally, the conclusion notes are highlighted.

引用

页数：18

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