Existence and Stability of a Caputo Variable-Order Boundary Value Problem

被引：13

作者：

Benkerrouche, Amar ^{[1
]}

Souid, Mohammed Said ^{[2
]}

Chandok, Sumit ^{[3
]}

Hakem, Ali ^{[1
]}

机构：

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

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

[3] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

FRACTIONAL DIFFERENTIAL-EQUATIONS; DERIVATIVES; UNIQUENESS;

D O I：

10.1155/2021/7967880

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we investigate the existence of a solution to the boundary value problem (BVP) of variable-order Caputo-type fractional differential equation by converting it into an equivalent standard Caputo (BVP) of the fractional constant order with the help of the generalized intervals and the piecewise constant functions. All our results in this study are proved by using Darbo's fixed-point theorem and the Ulam-Hyers (UH) stability definition. A numerical example is given at the end to support and validate the potentiality of our obtained results.

引用

页数：16

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