On the fractional model of Fokker-Planck equations with two different operator
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...
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AIMS Press
2020-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020015/fulltext.html |
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doaj-1cccee9eea864cf7a92fad14802cb33f2020-11-25T02:06:56ZengAIMS PressAIMS Mathematics2473-69882020-01-015123624810.3934/math.2020015On the fractional model of Fokker-Planck equations with two different operatorZeliha Korpinar0Mustafa Inc1Dumitru Baleanu21 MusAlparslan University, Faculty of Economic and Administrative Sciences, Department of Administration, 49250, Muş/Turkiye2 Fırat University, Science Faculty, Department of Mathematics, 23119 Elazığ/Turkiye3 Department of Mathematics, CankayaUniversity, 06530 Balgat, Ankara, Turkey 4 Institute of Space Sciences, Magurele-Bucharest, RomaniaIn 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.https://www.aimspress.com/article/10.3934/math.2020015/fulltext.htmllaplace homotopy analysis methodfractional model of fokker-planck equationscaputo-fabrizio derivativeseries solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zeliha Korpinar Mustafa Inc Dumitru Baleanu |
| spellingShingle |
Zeliha Korpinar Mustafa Inc Dumitru Baleanu On the fractional model of Fokker-Planck equations with two different operator AIMS Mathematics laplace homotopy analysis method fractional model of fokker-planck equations caputo-fabrizio derivative series solution |
| author_facet |
Zeliha Korpinar Mustafa Inc Dumitru Baleanu |
| author_sort |
Zeliha Korpinar |
| title |
On the fractional model of Fokker-Planck equations with two different operator |
| title_short |
On the fractional model of Fokker-Planck equations with two different operator |
| title_full |
On the fractional model of Fokker-Planck equations with two different operator |
| title_fullStr |
On the fractional model of Fokker-Planck equations with two different operator |
| title_full_unstemmed |
On the fractional model of Fokker-Planck equations with two different operator |
| title_sort |
on the fractional model of fokker-planck equations with two different operator |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2020-01-01 |
| description |
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. |
| topic |
laplace homotopy analysis method fractional model of fokker-planck equations caputo-fabrizio derivative series solution |
| url |
https://www.aimspress.com/article/10.3934/math.2020015/fulltext.html |
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AT zelihakorpinar onthefractionalmodeloffokkerplanckequationswithtwodifferentoperator AT mustafainc onthefractionalmodeloffokkerplanckequationswithtwodifferentoperator AT dumitrubaleanu onthefractionalmodeloffokkerplanckequationswithtwodifferentoperator |
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