区间离散分数阶微积分及其在区间分数阶差分方程中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-09-05 DOI:10.22111/IJFS.2021.6294

R. Beigmohamadi, A. Khastan

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引用次数: 1

摘要

本文给出了区间值函数的离散分数阶微积分的一些有用结果。介绍了区间分数阶算子的复合规则，用于构造非线性区间分数阶差分方程解的一般形式。给出了一个应用递归迭代法求线性区间分数阶差分方程解的显式公式的实例。

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

(2009-6161) Interval discrete fractional calculus and its application to interval fractional difference equations

In this work, we present some useful results of discrete fractional calculus for interval-valued functions. The composition rules for interval fractional operators are introduced, which are used to construct the general form of the solutions tononlinear interval fractional difference equations. An illustrative example is provided in which the method of recursive iterations is applied to obtain explicit formulas for the solutions of linear interval fractional difference equations.

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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.