Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method
In this paper, least squares approximation method is developed for solving a class of linear fractional integro-differential equations comprising Volterra and Fredhlom cases. This method is based on a polynomial of degree n to compute an approximate solution of these equations. The convergence analy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1800 |
| _version_ | 1818572243467239424 |
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| author | D. Jabari Sabeg R. Ezzati K. Maleknejad |
| author_facet | D. Jabari Sabeg R. Ezzati K. Maleknejad |
| author_sort | D. Jabari Sabeg |
| collection | DOAJ |
| description | In this paper, least squares approximation method is developed for solving a class of linear fractional integro-differential equations comprising Volterra and Fredhlom cases. This method is based on a polynomial of degree n to compute an approximate solution of these equations. The convergence analysis of the proposed method is proved. In addition, to show the accuracy and the efficiency of the proposed method, some examples are presented. |
| first_indexed | 2024-12-14T18:54:30Z |
| format | Article |
| id | doaj.art-490aaa352bab4479b00d124d9d2ba86e |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-14T18:54:30Z |
| publishDate | 2019-03-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-490aaa352bab4479b00d124d9d2ba86e2022-12-21T22:51:08ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-03-01172303310370Approximate Solution of Fractional Integro-Differential Equations by Least Squares MethodD. Jabari SabegR. EzzatiK. MaleknejadIn this paper, least squares approximation method is developed for solving a class of linear fractional integro-differential equations comprising Volterra and Fredhlom cases. This method is based on a polynomial of degree n to compute an approximate solution of these equations. The convergence analysis of the proposed method is proved. In addition, to show the accuracy and the efficiency of the proposed method, some examples are presented.http://etamaths.com/index.php/ijaa/article/view/1800 |
| spellingShingle | D. Jabari Sabeg R. Ezzati K. Maleknejad Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method International Journal of Analysis and Applications |
| title | Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method |
| title_full | Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method |
| title_fullStr | Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method |
| title_full_unstemmed | Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method |
| title_short | Approximate Solution of Fractional Integro-Differential Equations by Least Squares Method |
| title_sort | approximate solution of fractional integro differential equations by least squares method |
| url | http://etamaths.com/index.php/ijaa/article/view/1800 |
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