Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability

被引：0

作者：

Mohammed, Hicham Ait ^{[1
]}

Mezabia, Mohammed El-Hadi ^{[1
]}

Tellab, Brahim ^{[1
]}

Amara, Abdelkader ^{[1
]}

Emadifar, Homan ^{[2
,3
,4
]}

机构：

[1] Kasdi Merbah Univ, Appl Math Lab, BP511, Ouargla 30000, Algeria

[2] Saveetha Univ, Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[3] Middle East Univ, MEU Res Unit, Amman 11831, Jordan

[4] Islamic Azad Univ, Dept Math, Hamedan Branch, Hamadan, Iran

来源：

BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期

关键词：

Caputo fractional derivative; Variable order; Multi-point boundary value problem; Kuratowski measure of noncompactness; Fixed point theorems; DIFFERENTIAL-EQUATIONS;

D O I：

10.1186/s13661-024-01943-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we examine the existence, uniqueness, and stability of solutions for a Caputo variable order v-initial value problem (v-IVP) with multi-point initial conditions. The proofs for uniqueness and existence leverage Sadovski's and Banach's fixed point theorems, along with the Kuratowski measure of noncompactness. Furthermore, we explore the Ulam-Hyers-Rassias (UHR) stability of the solution. To validate our findings, we present a numerical example.

引用

页数：28

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