用卡普托-法布里齐奥分式求解分式里卡提微分方程

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.5013

Eman Abuteen

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引用次数: 0

摘要

本文提供了分数里卡蒂微分方程在三种不同情况下的解析解。这些情况由判别式和基于 Caputo-Fabrizio 分数导数和积分性质的分析解决定。使用该分析解法对几个实例进行了测试。值得注意的是，如文献所示，各种方法都得出了相关结果。

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

Solving Fractional Riccati Differential Equation with Caputo-Fabrizio Fractional Derivative

This article offers an analytical solution for the fractional Riccati differential equation in three distinct cases. These cases are determined by the discriminant and the analytical solution based on the properties of the Caputo-Fabrizio fractional derivative and integral. Several examples were tested using this analytical solution. It is noteworthy that various methods have yielded related results as indicated in the literature.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156