Analytical Approach to Fractional Fokkerplanck Equations by New Homotopy Perturbation Method
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Authors
Z. Ayati
- Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran.
J. Biazar
- Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, P.O. Box 41635-19141, P.C. 4193833697, Rasht, Iran.
S. Ebrahimi
- Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, P.O. Box 41635-19141, P.C. 4193833697, Rasht, Iran.
Abstract
In this paper, a new form of homotopy perturbation method has been adopted for solving the spacetime
dependent fractional Fokker-Planck equation. The fractional derivatives are described in the
Caputo sense. The method gives an analytic solution in the form of a convergent series with easily
computable components, requiring no linearization or small perturbation. The numerical results show
that the approaches are easy to implement and accurate when applied to the space-time dependent
fractional Fokker-Planck equations. The method introduces a promising tool for solving many spacetime
fractional partial differential equations.
Share and Cite
ISRP Style
Z. Ayati, J. Biazar, S. Ebrahimi, Analytical Approach to Fractional Fokkerplanck Equations by New Homotopy Perturbation Method, Journal of Mathematics and Computer Science, 9 (2014), no. 4, 426 - 437
AMA Style
Ayati Z., Biazar J., Ebrahimi S., Analytical Approach to Fractional Fokkerplanck Equations by New Homotopy Perturbation Method. J Math Comput SCI-JM. (2014); 9(4):426 - 437
Chicago/Turabian Style
Ayati, Z., Biazar, J., Ebrahimi, S.. "Analytical Approach to Fractional Fokkerplanck Equations by New Homotopy Perturbation Method." Journal of Mathematics and Computer Science, 9, no. 4 (2014): 426 - 437
Keywords
- New Homotopy perturbation method
- Fokker-Plank equation
- functional equation.
MSC
- 65H20
- 34E10
- 82C31
- 58J35
- 34A34
- 94A17
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