Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model
In this paper, we propose an innovative approach to determine the approximate solution of the coupled time-fractional Keller-Segel (K-S) model. We use the fractional complex transform (FCT) to switch the model into its differential partner, and then, the homotopy perturbation method (HPM) is introdu...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9637098 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850158054746619904 |
|---|---|
| author | Xiankang Luo Muhammad Nadeem Mustafa Inc Suliman Dawood |
| author_facet | Xiankang Luo Muhammad Nadeem Mustafa Inc Suliman Dawood |
| author_sort | Xiankang Luo |
| collection | DOAJ |
| description | In this paper, we propose an innovative approach to determine the approximate solution of the coupled time-fractional Keller-Segel (K-S) model. We use the fractional complex transform (FCT) to switch the model into its differential partner, and then, the homotopy perturbation method (HPM) is introduced to tackle its nonlinear elements using He’s polynomials. This two-scale theory helps to define the physical meaning of the FCT for the solution of the K-S model. Some examples are illustrated to show that the proposed scheme presents the significant results. The considerable findings show that this strategy does not require any assumptions and also reduces the massive computations without imposing any constraints. This technique is also suitable in functional studies of fractal calculus due to its powerful and robust support for nonlinear problems. |
| format | Article |
| id | doaj-art-6b3d25d8f5894f449e7d1ad988eae76e |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6b3d25d8f5894f449e7d1ad988eae76e2025-08-20T02:23:59ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9637098Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel ModelXiankang Luo0Muhammad Nadeem1Mustafa Inc2Suliman Dawood3Faculty of ScienceFaculty of ScienceDepartment of Computer EngineeringDepartment of MathematicsIn this paper, we propose an innovative approach to determine the approximate solution of the coupled time-fractional Keller-Segel (K-S) model. We use the fractional complex transform (FCT) to switch the model into its differential partner, and then, the homotopy perturbation method (HPM) is introduced to tackle its nonlinear elements using He’s polynomials. This two-scale theory helps to define the physical meaning of the FCT for the solution of the K-S model. Some examples are illustrated to show that the proposed scheme presents the significant results. The considerable findings show that this strategy does not require any assumptions and also reduces the massive computations without imposing any constraints. This technique is also suitable in functional studies of fractal calculus due to its powerful and robust support for nonlinear problems.http://dx.doi.org/10.1155/2022/9637098 |
| spellingShingle | Xiankang Luo Muhammad Nadeem Mustafa Inc Suliman Dawood Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model Journal of Function Spaces |
| title | Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model |
| title_full | Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model |
| title_fullStr | Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model |
| title_full_unstemmed | Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model |
| title_short | Fractional Complex Transform and Homotopy Perturbation Method for the Approximate Solution of Keller-Segel Model |
| title_sort | fractional complex transform and homotopy perturbation method for the approximate solution of keller segel model |
| url | http://dx.doi.org/10.1155/2022/9637098 |
| work_keys_str_mv | AT xiankangluo fractionalcomplextransformandhomotopyperturbationmethodfortheapproximatesolutionofkellersegelmodel AT muhammadnadeem fractionalcomplextransformandhomotopyperturbationmethodfortheapproximatesolutionofkellersegelmodel AT mustafainc fractionalcomplextransformandhomotopyperturbationmethodfortheapproximatesolutionofkellersegelmodel AT sulimandawood fractionalcomplextransformandhomotopyperturbationmethodfortheapproximatesolutionofkellersegelmodel |