Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives-Reference-Cited by-同舟云学术

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

Published:2021-06-30 Issue:1 Volume:48 Page:334-348
ISSN:1223-6934
Container-title:Annals of the University of Craiova - Mathematics and Computer Science Series
language:
Short-container-title:AUCMCS

Author:

Cetinkaya Suleyman^ORCID, ,Demir Ali,Baleanu Dumitru^ORCID, ,

Abstract

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.

Publisher

University of Craiova

Subject

Computer Science Applications,General Mathematics

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