Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations
In this paper,the homtopy perturbation method (HPM) was applied to obtain the approximate solutions of the fractional order integro-differential equations . The fractional order derivatives and fractional order integral are described in the Caputo and Riemann-Liouville sense respectively. We can ea...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2014-12-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2060 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850054322399739904 |
|---|---|
| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| description | In this paper,the homtopy perturbation method (HPM) was applied to obtain the approximate solutions of the fractional order integro-differential equations . The fractional order derivatives and fractional order integral are described in the Caputo and Riemann-Liouville sense respectively. We can easily obtain the solution from convergent the infinite series of HPM . A theorem for convergence and error estimates of the HPM for solving fractional order integro-differential equations was given. Moreover, numerical results show that our theoretical analysis are accurate and the HPM can be considered as a powerful method for solving fractional order integro-diffrential equations. |
| format | Article |
| id | doaj-art-821d4cf1b4d2455a8ff5ca3d032b1010 |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2014-12-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-821d4cf1b4d2455a8ff5ca3d032b10102025-08-20T02:52:17ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862014-12-0111410.21123/bsj.11.4.1637-1648Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential EquationsBaghdad Science JournalIn this paper,the homtopy perturbation method (HPM) was applied to obtain the approximate solutions of the fractional order integro-differential equations . The fractional order derivatives and fractional order integral are described in the Caputo and Riemann-Liouville sense respectively. We can easily obtain the solution from convergent the infinite series of HPM . A theorem for convergence and error estimates of the HPM for solving fractional order integro-differential equations was given. Moreover, numerical results show that our theoretical analysis are accurate and the HPM can be considered as a powerful method for solving fractional order integro-diffrential equations.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2060Homotopy perturbation method, fractional calculas, integro-differential equations. |
| spellingShingle | Baghdad Science Journal Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations مجلة بغداد للعلوم Homotopy perturbation method, fractional calculas, integro-differential equations. |
| title | Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations |
| title_full | Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations |
| title_fullStr | Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations |
| title_full_unstemmed | Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations |
| title_short | Convergence of the Generalized Homotopy Perturbation Method for Solving Fractional Order Integro-Differential Equations |
| title_sort | convergence of the generalized homotopy perturbation method for solving fractional order integro differential equations |
| topic | Homotopy perturbation method, fractional calculas, integro-differential equations. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2060 |
| work_keys_str_mv | AT baghdadsciencejournal convergenceofthegeneralizedhomotopyperturbationmethodforsolvingfractionalorderintegrodifferentialequations |