一类分数阶非线性隐式耦合系统解的存在性和Hyers-Ulam稳定性

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-20 DOI:10.1515/ijnsns-2022-0250

A. Zada, A. Ali, U. Riaz

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引用次数: 1

摘要

摘要本文研究了闭区间[0,1]上具有Caputo分数阶导数的具有非局部边界条件的任意(非整数)阶非线性隐式耦合微分方程系统。利用Krasnoselskii不动点定理和Banach收缩原理，建立了该耦合系统存在的充分条件，并给出了至少一个解和唯一解。此外，我们仔细研究了所考虑问题的Hyers-Ulam稳定性。我们给出一些例子来说明我们的主要结果。

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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Existence and Hyers–Ulam stability of solutions to a nonlinear implicit coupled system of fractional order

Abstract In this typescript, we study system of nonlinear implicit coupled differential equations of arbitrary (non–integer) order having nonlocal boundary conditions on closed interval [0, 1] with Caputo fractional derivative. We establish sufficient conditions for the existence, at least one and a unique solution of the proposed coupled system with the help of Krasnoselskii’s fixed point theorem and Banach contraction principle. Moreover, we scrutinize the Hyers–Ulam stability for the considered problem. We present examples to illustrate our main results.

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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.