A Formula of Solutions for Non-autonomous Linear Difference Equations with a Fractional Forward Operator

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-04-12 DOI:10.1115/1.4062300

引用次数: 1

Abstract

In this article we define a fractional forward discrete operator. Then, for a family of linear non-autonomous fractional difference equations constructed by using this fractional discrete operator, we provide a practical formula of solutions. This family of problems covers several linear fractional difference equations that appear in the literature. Numerical examples are given to justify our theory.

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具有分数阶前算子的非自治线性差分方程的一个解公式

在本文中，我们定义了一个分数前向离散算子。然后，对于用该分数阶离散算子构造的一类线性非自治分数阶差分方程，给出了一个实用的解公式。这类问题涵盖了文献中出现的几个线性分数阶差分方程。给出了数值例子来证明我们的理论。

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

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.