Existence results for coupled differential equations of non-integer order with Riemann-Liouville, Erdelyi-Kober integral conditions

被引：5

作者：

Baleanu, Dumitru ^{[1
,2
,3
]}

Hemalatha, S. ^{[4
]}

Duraisamy, P. ^{[5
]}

Pandiyan, P. ^{[6
]}

Muthaiah, Subramanian ^{[7
]}

机构：

[1] Cankaya Univ, Dept Math, Ankara, Turkey

[2] Inst Space Sci, Magurele, Romania

[3] China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Sasurie Coll Arts & Sci, Dept Math, Vijayamangalam, India

[5] Gobi Arts & Sci Coll, Dept Math, Gobichettipalayam, India

[6] KPR Inst Engn & Technol, Dept Elect & Elect Engn, Coimbatore, Tamil Nadu, India

[7] KPR Inst Engn & Technol, Dept Math, Coimbatore, Tamil Nadu, India

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 12期

关键词：

Caputo derivatives; Erdelyi-Kober integrals; Riemann-Liouville integrals; coupled system; existence; fixed point; SYSTEM; STABILITY;

D O I：

10.3934/math.2021752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes the existence and uniqueness of a solution for a coupled system that has fractional differential equations through Erdelyi-Kober and Riemann-Liouville fractional integral boundary conditions. The existence of the solution for the coupled system by adopting the Leray-Schauder alternative. The uniqueness of solution for the problem can be found using Banach fixed point theorem. In order to verify the proposed criterion, some numerical examples are also discussed.

引用

页码：13004 / 13023

页数：20

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