On coupled system of nonlinear Ψ-Hilfer hybrid fractional differential equations

被引：12

作者：

Mali, Ashwini D. ^{[1
]}

Kucche, Kishor D. ^{[1
]}

da Costa Sousa, Jose Vanterler ^{[2
]}

机构：

[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India

[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Ave Estados 5001, BR-09210580 Santo Andre, SP, Brazil

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 04期

关键词：

Psi-Hilfer fractional derivative; boundary value problem; coupled fractional differential equations; existence of solution; initial value problem; BOUNDARY-VALUE PROBLEM; EXISTENCE; UNIQUENESS;

D O I：

10.1515/ijnsns-2021-0012

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is dedicated to investigating the existence of solutions to the initial value problem (IVP) for a coupled system of Psi-Hilfer hybrid fractional differential equations (FDEs) and boundary value problem (BVP) for a coupled system of Psi-Hilfer hybrid FDEs. Analysis of the current paper depends on the two fixed point theorems involving three operators characterized on Banach algebra. In the view of an application, we provided useful examples to exhibit the effectiveness of our achieved results.

引用

页码：1425 / 1445

页数：21

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