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 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems 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

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.