Multipoint boundary value problem for a coupled system of ψ-Hilfer nonlinear implicit fractional differential equation

被引：2

作者：

Maheswari, Muthukrishnan Latha ^{[1
]}

Shri, Kolathur Srinivasan Keerthana ^{[1
]}

Elsayed, Elsayed M. ^{[1
,2
,3
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore, Tamil Nadu, India

[2] King AbdulAziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2023年 / 28卷 / 06期

关键词：

existence; fixed point technique; multipoint boundary value problem; psi-Hilfer fractional derivative; EXISTENCE; STABILITY;

D O I：

10.15388/namc.2023.28.334747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study examines the existence and uniqueness of the solution to the coupled system of the psi-Hilfer nonlinear implicit fractional multipoint boundary value problem. The uniqueness is shown by the Banach contraction principle, and the existence is shown by Krasnosel'skii's fixed point theorem in a special working space. An example is presented to verify our results. The existence and uniqueness of the solution are analysed graphically.

引用

页码：1138 / 1160

页数：23

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