Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method
The fractional derivative equation has extensively appeared in various applied nonlinear problems and methods for finding the model become a popular topic. Very recently, a novel way was proposed by Duan (2010) to calculate the Adomian series which is a crucial step of the Adomian decomposition meth...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/957590 |
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| _version_ | 1832556543293259776 |
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| author | Fei Wu Lan-Lan Huang |
| author_facet | Fei Wu Lan-Lan Huang |
| author_sort | Fei Wu |
| collection | DOAJ |
| description | The fractional derivative equation has extensively appeared in various applied nonlinear problems and methods for finding the model become a popular topic. Very recently, a novel way was proposed by Duan (2010) to calculate the Adomian series which is a crucial step of the Adomian decomposition method. In this paper, it was used to solve some fractional nonlinear differential equations. |
| format | Article |
| id | doaj-art-30f414cf810d43d09ed21d8ee2f5bdee |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-30f414cf810d43d09ed21d8ee2f5bdee2025-02-03T05:45:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/957590957590Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition MethodFei Wu0Lan-Lan Huang1Key Laboratory of Energy Engineering Safety and Disaster Mechanics, Ministry of Education, School of Architecture and Environment, Sichuan University, Chengdu 610065, ChinaInstitute of Applied Nonlinear Science, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, ChinaThe fractional derivative equation has extensively appeared in various applied nonlinear problems and methods for finding the model become a popular topic. Very recently, a novel way was proposed by Duan (2010) to calculate the Adomian series which is a crucial step of the Adomian decomposition method. In this paper, it was used to solve some fractional nonlinear differential equations.http://dx.doi.org/10.1155/2014/957590 |
| spellingShingle | Fei Wu Lan-Lan Huang Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method Abstract and Applied Analysis |
| title | Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method |
| title_full | Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method |
| title_fullStr | Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method |
| title_full_unstemmed | Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method |
| title_short | Approximate Solutions of Fractional Riccati Equations Using the Adomian Decomposition Method |
| title_sort | approximate solutions of fractional riccati equations using the adomian decomposition method |
| url | http://dx.doi.org/10.1155/2014/957590 |
| work_keys_str_mv | AT feiwu approximatesolutionsoffractionalriccatiequationsusingtheadomiandecompositionmethod AT lanlanhuang approximatesolutionsoffractionalriccatiequationsusingtheadomiandecompositionmethod |