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
收藏
页码：1138 / 1160
页数：23
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