Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator
In this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method. In the Caputo sense, fractional derivatives of space...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4471757 |
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| author | Saleh Alshammari Naveed Iqbal Mohammad Yar |
| author_facet | Saleh Alshammari Naveed Iqbal Mohammad Yar |
| author_sort | Saleh Alshammari |
| collection | DOAJ |
| description | In this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method. In the Caputo sense, fractional derivatives of space and time are studied. The convergent series form solution demonstrates the method’s efficiency in resolving several types of fractional differential equations. Compared to other methods of finding approximate and exact solutions for nonlinear partial differential equations, this technique is more efficient and time-consuming. |
| format | Article |
| id | doaj-art-54307feadf744d1c9530e0c26c8d6b47 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-54307feadf744d1c9530e0c26c8d6b472025-02-03T01:32:29ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4471757Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo OperatorSaleh Alshammari0Naveed Iqbal1Mohammad Yar2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, we investigate the fractional-order Fokker-Planck equations with the help of the Yang transform decomposition method (YTDM). The YTDM combines Yang transform, Adomian decomposition method, and Adomian polynomials into one method. In the Caputo sense, fractional derivatives of space and time are studied. The convergent series form solution demonstrates the method’s efficiency in resolving several types of fractional differential equations. Compared to other methods of finding approximate and exact solutions for nonlinear partial differential equations, this technique is more efficient and time-consuming.http://dx.doi.org/10.1155/2022/4471757 |
| spellingShingle | Saleh Alshammari Naveed Iqbal Mohammad Yar Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator Journal of Function Spaces |
| title | Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator |
| title_full | Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator |
| title_fullStr | Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator |
| title_full_unstemmed | Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator |
| title_short | Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator |
| title_sort | fractional view analysis of space time fractional fokker planck equations within caputo operator |
| url | http://dx.doi.org/10.1155/2022/4471757 |
| work_keys_str_mv | AT salehalshammari fractionalviewanalysisofspacetimefractionalfokkerplanckequationswithincaputooperator AT naveediqbal fractionalviewanalysisofspacetimefractionalfokkerplanckequationswithincaputooperator AT mohammadyar fractionalviewanalysisofspacetimefractionalfokkerplanckequationswithincaputooperator |