Аналіз стабільності типу Улама для узагальнених диференціальних рівнянь з пропорційними дробовими похідними

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-24 DOI:10.15330/cmp.16.1.114-127

S. Hristova, M.I. Abbas

引用次数: 0

Abstract

The main aim of the current paper is to be appropriately defined several types of Ulam stability for non-linear fractional differential equation with generalized proportional fractional derivative of Riemann-Liouville type. In the new definitions, the initial values of the solutions of the given equation and the corresponding inequality could not coincide but they have to be closed enough. Some sufficient conditions for three types of Ulam stability for the studied equations are obtained, namely Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability. Some of them are applied to a fractional generalization of a biological model.

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具有比例分数导数的广义微分方程的乌拉姆型稳定性分析

本文的主要目的是为具有黎曼-刘维尔类型广义比例分数导数的非线性分数微分方程适当定义几种乌拉姆稳定性。在新定义中，给定方程的解的初值和相应的不等式不可能重合，但它们必须足够封闭。对所研究方程的三种 Ulam 稳定性，即 Ulam-Hyers 稳定性、Ulam-Hyers-Rassias 稳定性和广义 Ulam-Hyers-Rassias 稳定性，提出了一些充分条件。其中一些条件被应用于一个生物模型的分数广义化。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.