Open AccessThe analytical analysis of fractional order Fokker-Planck equations
Author(s) -
Hassan Khan,
Umar Farooq,
Fairouz Tchier,
Qasim Khan,
Gurpreet Singh,
Poom Kumam,
Kanokwan Sitthithakerngkiet
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022665
Subject(s) - operator (biology) , mathematics , order (exchange) , property (philosophy) , partial differential equation , scheme (mathematics) , fokker–planck equation , fractional calculus , decomposition method (queueing theory) , simple (philosophy) , mathematical analysis , riemann hypothesis , discrete mathematics , chemistry , philosophy , finance , repressor , epistemology , transcription factor , economics , gene , biochemistry
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.