Computational Analysis of Complex Population Dynamical Model with Arbitrary Order
This paper considers the approximation of solution for a fractional order biological population model. The fractional derivative is considered in the Caputo sense. By using Laplace Adomian decomposition method (LADM), we construct a base function and provide deformation equation of higher order in a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8918541 |
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| _version_ | 1850172452031692800 |
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| author | Fazal Haq Kamal Shah Ghaus ur Rahman Yongjin Li Muhammad Shahzad |
| author_facet | Fazal Haq Kamal Shah Ghaus ur Rahman Yongjin Li Muhammad Shahzad |
| author_sort | Fazal Haq |
| collection | DOAJ |
| description | This paper considers the approximation of solution for a fractional order biological population model. The fractional derivative is considered in the Caputo sense. By using Laplace Adomian decomposition method (LADM), we construct a base function and provide deformation equation of higher order in a simple equation. The considered scheme gives us a solution in the form of rapidly convergent infinite series. Some examples are used to show the efficiency of the method. The results show that LADM is efficient and accurate for solving such types of nonlinear problems. |
| format | Article |
| id | doaj-art-d0aa646d1b85460cbfd4a4a1887ac9ec |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d0aa646d1b85460cbfd4a4a1887ac9ec2025-08-20T02:20:05ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/89185418918541Computational Analysis of Complex Population Dynamical Model with Arbitrary OrderFazal Haq0Kamal Shah1Ghaus ur Rahman2Yongjin Li3Muhammad Shahzad4Department of Mathematics, Hazara University Mansehra, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Statistics, University of Swat, Mingora, PakistanDepartment of Mathematics, Sun Yat-sen University, Guangzhou, ChinaDepartment of Mathematics, Hazara University Mansehra, Khyber Pakhtunkhwa, PakistanThis paper considers the approximation of solution for a fractional order biological population model. The fractional derivative is considered in the Caputo sense. By using Laplace Adomian decomposition method (LADM), we construct a base function and provide deformation equation of higher order in a simple equation. The considered scheme gives us a solution in the form of rapidly convergent infinite series. Some examples are used to show the efficiency of the method. The results show that LADM is efficient and accurate for solving such types of nonlinear problems.http://dx.doi.org/10.1155/2018/8918541 |
| spellingShingle | Fazal Haq Kamal Shah Ghaus ur Rahman Yongjin Li Muhammad Shahzad Computational Analysis of Complex Population Dynamical Model with Arbitrary Order Complexity |
| title | Computational Analysis of Complex Population Dynamical Model with Arbitrary Order |
| title_full | Computational Analysis of Complex Population Dynamical Model with Arbitrary Order |
| title_fullStr | Computational Analysis of Complex Population Dynamical Model with Arbitrary Order |
| title_full_unstemmed | Computational Analysis of Complex Population Dynamical Model with Arbitrary Order |
| title_short | Computational Analysis of Complex Population Dynamical Model with Arbitrary Order |
| title_sort | computational analysis of complex population dynamical model with arbitrary order |
| url | http://dx.doi.org/10.1155/2018/8918541 |
| work_keys_str_mv | AT fazalhaq computationalanalysisofcomplexpopulationdynamicalmodelwitharbitraryorder AT kamalshah computationalanalysisofcomplexpopulationdynamicalmodelwitharbitraryorder AT ghausurrahman computationalanalysisofcomplexpopulationdynamicalmodelwitharbitraryorder AT yongjinli computationalanalysisofcomplexpopulationdynamicalmodelwitharbitraryorder AT muhammadshahzad computationalanalysisofcomplexpopulationdynamicalmodelwitharbitraryorder |