On the Fractional Model of Fokker-Planck Equations With Two Different Operator
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Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Mathematical Sciences
Open Access Color
GOLD
Green Open Access
Yes
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No
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Top 10%
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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.
Description
Keywords
Caputo-Fabrizio Derivative, Fractional Model Of Fokker-Planck Equations, Laplace Homotopy Analysis Method, Series Solution, Fractional Model Of Fokker-Planck Equations, Laplace transform, Fokker-Planck Equations, Operator (biology), Mathematical analysis, Biochemistry, Gene, Series Solution, caputo-fabrizio derivative, Convergence Analysis of Iterative Methods for Nonlinear Equations, Caputo-Fabrizio Derivative, Statistical Mechanics with Long-Range Interactions and Nonextensivity, QA1-939, FOS: Mathematics, Series (stratigraphy), Laplace Homotopy Analysis Method, Biology, Anomalous Diffusion Modeling and Analysis, laplace homotopy analysis method, Numerical Analysis, fractional model of fokker-planck equations, Time-Fractional Diffusion Equation, Fractional calculus, Pure mathematics, Paleontology, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, Fractional Derivatives, Homotopy analysis method, Chemistry, series solution, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Fokker–Planck equation, Repressor, Fractional Calculus, Homotopy Analysis Method, Homotopy, Transcription factor, Mathematics, Caputo-Fabrizio derivative, Soliton solutions, fractional model of Fokker-Planck equations, Laplace homotopy analysis method, Fractional partial differential equations, Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, Fokker-Planck equations
Fields of Science
01 natural sciences, 0103 physical sciences
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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
12
Source
AIMS Mathematics
Volume
5
Issue
1
Start Page
236
End Page
248
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Scopus : 13
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13
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2
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