Existence of Solutions for Coupled System of Sequential Liouville-Caputo-Type Fractional Integrodifferential Equations

被引：2

作者：

Murugesan, Manigandan ^{[1
]}

Muthaiah, Subramanian ^{[2
]}

Vadivel, Rajarathinam ^{[3
]}

Unyong, Bundit ^{[4
]}

机构：

[1] Chennai Inst Technol, Ctr Computat Modeling, Chennai 600069, India

[2] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, India

[3] Phuket Rajabhat Univ, Fac Sci & Technol, Dept Math, Phuket 83000, Thailand

[4] Walailak Univ, Sch Sci, Dept Math, Nakhon Si Thammarat 80160, Thailand

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 11期

基金：

芬兰科学院;

关键词：

fractional integrodifferential equations; sequential derivatives; Liouville-Caputo derivatives; Riemann-Liouville integrals; existence; uniqueness; fixed point; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; INCLUSIONS;

D O I：

10.3390/fractalfract7110800

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present investigation aims to establish the existence and uniqueness of solutions for a system containing sequential fractional differential equations. Furthermore, boundary conditions that include the Riemann-Liouville fractional integral are taken into consideration. The existence of unknown functions, fractional derivatives, and fractional integrals at lower orders are necessary for the nonlinearity to exist. In order to provide proofs for the results presented in this study, the Leray-Schauder alternative and the Banach fixed-point theorem are utilised. Finally, examples are used to support the main results.

引用

页数：25

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