带有Caputo和Caputo- fabrizio导数的分数阶Fokker-Planck方程分析

IF 0.5 Q3 MATHEMATICS

Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2021-06-30 DOI:10.52846/ami.v48i1.1473

Süleyman Çetinkaya, A. Demir, D. Baleanu

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引用次数: 1

摘要

利用Sumudu变换与同伦分析法(SHAM)相结合的新方法确定了Fokker-Planck方程数学模型的数值解。用SHAM解析级数法可以得到任何数学模型包括分数阶导数的解。通过这种方法，我们构造了分数阶Fokker-Planck方程在Caputo和Caputo- fabrizio感觉下的解。结果表明，该方法具有优势，适用于分数阶数学模型的序列解析。

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Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives

This research focus on the determination of the numerical solution for the mathematical model of Fokker-Planck equations utilizing a new method, in which Sumudu transformation and homotopy analysis method (SHAM) are used together. By SHAM analytical series solution of any mathematical model including fractional derivative can be obtained. By this method, we constructed the solution of fractional Fokker-Planck equations in Caputo and Caputo-Fabrizio senses. The results show that this method is advantageous and applicable to form the series resolution of the fractional mathematical models.

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来源期刊

Annals of the University of Craiova-Mathematics and Computer Science Series MATHEMATICS-

CiteScore

1.10

自引率

10.00%

发文量