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

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-10-27 DOI:10.15388/namc.2023.28.33474

Muthukrishnan Latha Maheswari, Kolathur Srinivasan Keerthana Shri, Elsayed M. Elsayed

引用次数: 0

Abstract

This study examines the existence and uniqueness of the solution to the coupled system of the ψ-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.

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一类psi-Hilfer非线性隐式分数阶微分方程耦合系统的多点边值问题

摘要研究了一类非线性隐式分数型多点边值问题的耦合系统解的存在唯一性。用Banach收缩原理证明了其唯一性，用Krasnosel’skii不动点定理证明了其存在性。最后给出了一个算例来验证我们的结果。用图形分析了解的存在唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.