Topological degree theory and Caputo-Hadamard fractional boundary value problems

被引：36

作者：

Amara, Abdelkader ^{[1
]}

Etemad, Sina ^{[2
]}

Rezapour, Shahram ^{[3
,4
,5
]}

机构：

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

[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[3] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam

[4] Duy Tan Univ, Fac Nat Sci, Da Nang 550000, Vietnam

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Caputo-Hadamard fractional BVP; Condensing operator; Degree theory; The generalized Dhage's theorem; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1186/s13662-020-02833-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study two hybrid and non-hybrid fractional boundary value problems via the Caputo-Hadamard type derivatives. We seek the existence criteria for these two problems separately. By utilizing the generalized Dhage's theorem, we derive desired results for an integral structure of solutions for the hybrid problems. Also by considering the special case as a non-hybrid boundary value problem (BVP), we establish other results based on the existing tools in the topological degree theory. In the end of the article, we examine our theoretical results by presenting some numerical examples to show the applicability of the analytical findings.

引用

页数：22

共 54 条

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