scholarly journals Analytical Solution of the Time Fractional Fokker-Planck Equation

2014 ◽  
Vol 19 (2) ◽  
pp. 435-440 ◽  
Author(s):  
T. Sutradhar ◽  
B.K. Datta ◽  
R.K. Bera
Keyword(s):  
Analytical Solution ◽  
Present Method ◽  
Decomposition Method ◽  
Analytic Solution ◽  
Planck Equation ◽  
Approximate Analytic Solution ◽  
Adomian’S Decomposition Method ◽  
Fokker Planck Equation ◽  
Fokker Planck

Abstract A nonperturbative approximate analytic solution is derived for the time fractional Fokker-Planck (F-P) equation by using Adomian’s Decomposition Method (ADM). The solution is expressed in terms of Mittag- Leffler function. The present method performs extremely well in terms of accuracy, efficiency and simplicity.

scholarly journals SOLUTION OF LOCAL FRACTIONAL GENERALIZED FOKKER–PLANCK EQUATION USING LOCAL FRACTIONAL MOHAND ADOMIAN DECOMPOSITION METHOD

Fractals ◽  
2021 ◽  
Author(s):  
SAAD ALTHOBAITI ◽  
RAVI SHANKER DUBEY ◽  
JYOTI GEETESH PRASAD
Keyword(s):  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Planck Equation ◽  
Approximate Solutions ◽  
Simple Approach ◽  
Graphical Representations ◽  
Fokker Planck Equation ◽  
Adomian Decomposition ◽  
Computational Work ◽  
Fokker Planck

In this paper, we solve the local fractional generalized Fokker–Planck equation. To solve the problem, local fractional Mohand transform with Adomian decomposition method is introduced due to its simple approach and less computational work. Furthermore, for the applicability of the technique, we illustrate some examples and their exact or approximate solutions with their graphical representations.

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