Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series
Due to the memory trait of the fractional calculus, numerical or analytical solution of higher order becomes very difficult even impossible to obtain in real engineering problems. Recently, a new and convenient way was suggested to calculate the Adomian series and the higher order approximation was...
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| Main Authors: | , , , |
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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/10.1155/2014/284967 |
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| _version_ | 1832564737534066688 |
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| author | Xiang-Chao Shi Lan-Lan Huang Zhen-Guo Deng Dan Liu |
| author_facet | Xiang-Chao Shi Lan-Lan Huang Zhen-Guo Deng Dan Liu |
| author_sort | Xiang-Chao Shi |
| collection | DOAJ |
| description | Due to the memory trait of the fractional calculus, numerical or analytical solution of higher order becomes very difficult even impossible to obtain in real engineering problems. Recently, a new and convenient way was suggested to calculate the Adomian series and the higher order approximation was realized. In this paper, the Adomian decomposition method is applied to nonlinear fractional differential equation and the error analysis is given which shows the convenience. |
| format | Article |
| id | doaj-art-2ae19ff8832648529321c410fdd9dde4 |
| 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-2ae19ff8832648529321c410fdd9dde42025-02-03T01:10:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/284967284967Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian SeriesXiang-Chao Shi0Lan-Lan Huang1Zhen-Guo Deng2Dan Liu3State Key Laboratory of Oil and Gas Reservoirs Geology and Exploration, Southwest Petroleum University, Chengdu 610500, ChinaKey Laboratory of Numerical Simulation of Sichuan Province and College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, ChinaSchool of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaKey Laboratory of Numerical Simulation of Sichuan Province and College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, ChinaDue to the memory trait of the fractional calculus, numerical or analytical solution of higher order becomes very difficult even impossible to obtain in real engineering problems. Recently, a new and convenient way was suggested to calculate the Adomian series and the higher order approximation was realized. In this paper, the Adomian decomposition method is applied to nonlinear fractional differential equation and the error analysis is given which shows the convenience.http://dx.doi.org/10.1155/2014/284967 |
| spellingShingle | Xiang-Chao Shi Lan-Lan Huang Zhen-Guo Deng Dan Liu Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series Abstract and Applied Analysis |
| title | Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series |
| title_full | Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series |
| title_fullStr | Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series |
| title_full_unstemmed | Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series |
| title_short | Analytical Solutions of Fractional Differential Equations Using the Convenient Adomian Series |
| title_sort | analytical solutions of fractional differential equations using the convenient adomian series |
| url | http://dx.doi.org/10.1155/2014/284967 |
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