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...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2014-05-01
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| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Analytical-Solution-of-the-Time-Fractional-Fokker-Planck-Equation,167260,0,2.html |
| _version_ | 1797750898647105536 |
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| author | T. Sutradhar B.K. Datta R.K. Bera |
| author_facet | T. Sutradhar B.K. Datta R.K. Bera |
| author_sort | T. Sutradhar |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-12T16:40:31Z |
| format | Article |
| id | doaj.art-72890c07db75460e86acdd72acd60f62 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:40:31Z |
| publishDate | 2014-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-72890c07db75460e86acdd72acd60f622023-08-08T14:33:14ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032014-05-0119243544010.2478/ijame-2014-0030167260Analytical Solution of the Time Fractional Fokker-Planck EquationT. Sutradhar0B.K. Datta1R.K. Bera2Ranaghat 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://www.ijame-poland.com/Analytical-Solution-of-the-Time-Fractional-Fokker-Planck-Equation,167260,0,2.htmlfokker-planck equationadomian decomposition methodfractional calculusfractional differential equation |
| spellingShingle | T. Sutradhar B.K. Datta R.K. Bera 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 |
| title | 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_short | Analytical Solution of the Time Fractional Fokker-Planck Equation |
| title_sort | analytical solution of the time fractional fokker planck equation |
| topic | fokker-planck equation adomian decomposition method fractional calculus fractional differential equation |
| url | https://www.ijame-poland.com/Analytical-Solution-of-the-Time-Fractional-Fokker-Planck-Equation,167260,0,2.html |
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