On the fractional model of fokker-planck equations with two different operator
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Date
2020
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Publisher
American Institute of Mathematical Sciences
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Abstract
In this paper, the fractional model of Fokker-Planck equations are solved by using Laplace homotopy analysis method (LHAM). LHAM is expressed with a combining of Laplace transform and homotopy methods to obtain a new analytical series solutions of the fractional partial differential equations (FPDEs) in the Caputo-Fabrizio and Liouville-Caputo sense. Here obtained solutions are compared with exact solutions of these equations. The suitability of the method is removed from the plotted graphs. The obtained consequens explain that technique is a power and efficient process in investigation of solutions for fractional model of Fokker-Planck equations. © 2020 the Author(s), licensee AIMS Press.
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Keywords
Caputo-Fabrizio Derivative, Fractional Model Of Fokker-Planck Equations, Laplace Homotopy Analysis Method, Series Solution
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Citation
Korpinar, Zeliha; İnç, Mustafa; Baleanu, Dumitru (2020). "On the fractional model of fokker-planck equations with two different operator", AIMS Mathematics, Vol. 5, No. 1, pp. 236-248.
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Q1
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Q1
Source
AIMS Mathematics
Volume
5
Issue
1
Start Page
236
End Page
248