BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS OF VARIABLE ORDER

被引：0

作者：

Refice, A. ^{[1
]}

Ozer, O. ^{[2
]}

Souid, M. S. ^{[3
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Zian Achour Univ, Fac Exact Sci & Comp Informat, Dept Math,Lab Math, Djelfa, Algeria

[2] Kirklareli Univ, Fac Sci & Arts, Dept Math, Kirklareli, Turkiye

[3] Univ Djillali Liabes Sidi Bel Abbes, Ibn Khladoun Univ, Fac Econ Commercial & Management Sci, Dept Econ Sci,Lab Math, Tiaret, Algeria

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷 / 03期

关键词：

Fractional differential equations of variable order; boundary value problem; fixed point theorem; Ulam-Hyers stability; EXISTENCE; DERIVATIVES; UNIQUENESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this work, we investigate the existence, uniqueness and the stability of solutions to the boundary value problem (BVP) of Caputo fractional differential equations of variable order by converting it into an equivalent standard Caputo BVP of the fractional constant order with the help of the generalized intervals and piecewise constant functions. The results obtained in this interesting study are novel and worthy based on the Krasnoselskii fixed point theorem and the Banach contraction principle. The Ulam-Hyers stability of the given variable-order Caputo fractional boundary value problem is established. A numerical examples is given at the end to support and validate the potentiality of our obtained results.

引用

页码：1053 / 1067

页数：15

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