The analytical analysis of fractional order Fokker-Planck equations

In the current note, we broaden the utilization of a new and efficient analytical computational scheme, approximate analytical method for obtaining the solutions of fractional-order Fokker-Planck equations. The approximate solution is obtained by decomposition technique along with the property of Ri...

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Bibliographic Details
Main Authors: Hassan Khan, Umar Farooq, Fairouz Tchier, Qasim Khan, Gurpreet Singh, Poom Kumam, Kanokwan Sitthithakerngkiet
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022665?viewType=HTML
Description
Summary:In the current note, we broaden the utilization of a new and efficient analytical computational scheme, approximate analytical method for obtaining the solutions of fractional-order Fokker-Planck equations. The approximate solution is obtained by decomposition technique along with the property of Riemann-Liouuille fractional partial integral operator. The Caputo-Riemann operator property for fractional-order partial differential equations is calculated through the utilization of the provided initial source. This analytical scheme generates the series form solution which is fast convergent to the exact solutions. The obtained results have shown that the new technique for analytical solutions is simple to implement and very effective for analyzing the complex problems that arise in connected areas of science and technology.
ISSN:2473-6988