Analytical Solution of the Time Fractional Fokker-Planck Equation

Analytical Solution of the Time Fractional Fokker-Planck Equation

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 a...

Full description

Bibliographic Details
Main Authors: Sutradhar T., Datta B.K., Bera R.K.
Format: Article
Language:English
Published: Sciendo 2014-05-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
fokker-planck equation
adomian decomposition method
fractional calculus
fractional differential equation
Online Access:https://doi.org/10.2478/ijame-2014-0030
id doaj-72890c07db75460e86acdd72acd60f62
record_format Article
spelling doaj-72890c07db75460e86acdd72acd60f622021-09-05T21:02:01ZengSciendoInternational Journal of Applied Mechanics and Engineering1734-44922014-05-0119243544010.2478/ijame-2014-0030Analytical Solution of the Time Fractional Fokker-Planck EquationSutradhar T.0Datta B.K.1Bera R.K.2Ranaghat Debnath Institution Mission Road, Ranaghat, PIN – 741 201 Nadia, West Bengal, INDIADepartment of Mathematics, Chakdaha College Chakdaha, PIN – 741 222 Nadia, West Bengal, INDIAHeritage Institute of Technology BK-301, Sector-II, Chowbaga Road Anandapur, Kolkata – 700 107, INDIAA 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.https://doi.org/10.2478/ijame-2014-0030fokker-planck equationadomian decomposition methodfractional calculusfractional differential equation
collection DOAJ
language English
format Article
sources DOAJ
author Sutradhar T.
Datta B.K.
Bera R.K.
spellingShingle Sutradhar T.
Datta B.K.
Bera R.K.
Analytical Solution of the Time Fractional Fokker-Planck Equation
International Journal of Applied Mechanics and Engineering
fokker-planck equation
adomian decomposition method
fractional calculus
fractional differential equation
author_facet Sutradhar T.
Datta B.K.
Bera R.K.
author_sort Sutradhar T.
title Analytical Solution of the Time Fractional Fokker-Planck Equation
title_short Analytical Solution of the Time Fractional Fokker-Planck Equation
title_full Analytical Solution of the Time Fractional Fokker-Planck Equation
title_fullStr Analytical Solution of the Time Fractional Fokker-Planck Equation
title_full_unstemmed Analytical Solution of the Time Fractional Fokker-Planck Equation
title_sort analytical solution of the time fractional fokker-planck equation
publisher Sciendo
series International Journal of Applied Mechanics and Engineering
issn 1734-4492
publishDate 2014-05-01
description 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.
topic fokker-planck equation
adomian decomposition method
fractional calculus
fractional differential equation
url https://doi.org/10.2478/ijame-2014-0030
work_keys_str_mv AT sutradhart analyticalsolutionofthetimefractionalfokkerplanckequation
AT dattabk analyticalsolutionofthetimefractionalfokkerplanckequation
AT berark analyticalsolutionofthetimefractionalfokkerplanckequation
_version_ 1717781486697971712

Similar Items