模糊分数阶微分方程的适定性与稳定性

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-07-06 DOI:10.15388/namc.2022.27.28096

Xuping Zhang, Yanli Xi, D. O’Regan

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引用次数: 0

摘要

本文研究了一类模糊Caputo-Katugampola分数阶微分方程初值问题解的存在唯一性和相应分数阶微分方程的稳定性。讨论了双曲函数、Banach不动点定理和不等式性质。通过两个实例说明了理论结果的可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Well-posedness and stability for fuzzy fractional differential equations

In this article, we consider the existence and uniqueness of solutions for a class of initial value problems of fuzzy Caputo–Katugampola fractional differential equations and the stability of the corresponding fuzzy fractional differential equations. The discussions are based on the hyperbolic function, the Banach fixed point theorem and an inequality property. Two examples are given to illustrate the feasibility of our theoretical results.

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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.