A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering
In this work, we proposed a hybrid algorithm to approximate the solution of Conformable Fractional Fokker-Planck Equation (CFFPE). This algorithm comprises of unification of two methods named Fractional Wave Transformation Method (FWTM) and Differential Transform Method (DTM). The method is based on...
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Tokat Gaziosmanpasa University
2022-08-01
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| Series: | Journal of New Results in Science |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2397038 |
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| author | Ozan Özkan Ali Kurt |
| author_facet | Ozan Özkan Ali Kurt |
| author_sort | Ozan Özkan |
| collection | DOAJ |
| description | In this work, we proposed a hybrid algorithm to approximate the solution of Conformable Fractional Fokker-Planck Equation (CFFPE). This algorithm comprises of unification of two methods named Fractional Wave Transformation Method (FWTM) and Differential Transform Method (DTM). The method is based on two steps. The first step is to reduce the given CFPDEs to corresponding Partial Differential Equations (PDEs). Then, the second step is to solve obtained PDEs iteratively by using DTM. Moreover, the algorithm’s efficiency is shown by employing the method successfully to conformable time-fractional Fokker-Planck equation arising in surface physics, plasma physics, polymer physics, laser physics, biophysics, engineering, neurosciences, nonlinear hydrodynamics, population dynamics, pattern formation and marketing. As a result, the obtained data demonstrate that the algorithm is reliable and applicable. |
| format | Article |
| id | doaj-art-9ac4faa6fd0b464d93120d22fdd06a5a |
| institution | Kabale University |
| issn | 1304-7981 |
| language | English |
| publishDate | 2022-08-01 |
| publisher | Tokat Gaziosmanpasa University |
| record_format | Article |
| series | Journal of New Results in Science |
| spelling | doaj-art-9ac4faa6fd0b464d93120d22fdd06a5a2025-08-20T03:44:19ZengTokat Gaziosmanpasa UniversityJournal of New Results in Science1304-79812022-08-0111211111910.54187/jnrs.1109009142A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineeringOzan Özkan0https://orcid.org/0000-0001-6430-1126Ali Kurt1https://orcid.org/0000-0002-0617-6037SELCUK UNIVERSITYPAMUKKALE UNIVERSITYIn this work, we proposed a hybrid algorithm to approximate the solution of Conformable Fractional Fokker-Planck Equation (CFFPE). This algorithm comprises of unification of two methods named Fractional Wave Transformation Method (FWTM) and Differential Transform Method (DTM). The method is based on two steps. The first step is to reduce the given CFPDEs to corresponding Partial Differential Equations (PDEs). Then, the second step is to solve obtained PDEs iteratively by using DTM. Moreover, the algorithm’s efficiency is shown by employing the method successfully to conformable time-fractional Fokker-Planck equation arising in surface physics, plasma physics, polymer physics, laser physics, biophysics, engineering, neurosciences, nonlinear hydrodynamics, population dynamics, pattern formation and marketing. As a result, the obtained data demonstrate that the algorithm is reliable and applicable.https://dergipark.org.tr/en/download/article-file/2397038conformable fractional partial differential equationsfractional wave transform methoddifferential transform methodtime fractional fokker-plank equation |
| spellingShingle | Ozan Özkan Ali Kurt A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering Journal of New Results in Science conformable fractional partial differential equations fractional wave transform method differential transform method time fractional fokker-plank equation |
| title | A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering |
| title_full | A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering |
| title_fullStr | A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering |
| title_full_unstemmed | A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering |
| title_short | A hybrid algorithm for solving fractional Fokker-Planck equations arising in physics and engineering |
| title_sort | hybrid algorithm for solving fractional fokker planck equations arising in physics and engineering |
| topic | conformable fractional partial differential equations fractional wave transform method differential transform method time fractional fokker-plank equation |
| url | https://dergipark.org.tr/en/download/article-file/2397038 |
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