Solutions of linear multi-dimensional fractional order Volterra integral equations
In this paper, the aim studying this topic is to extend the study of the one-dimensional fractional to the multi-dimensional fractional integral equations and their applications. The multi-dimensional Laplace transform method (M.D.L.T.M) is developed to solve multi-dimensional fractional Integrals e...
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| Format: | Article |
| Language: | English |
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Little Lion Scientific R&D
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53847/1/Solutions%20of%20linear%20multi-dimensional%20fractional%20order%20Volterra%20integral%20equations.pdf |
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| author | Ahmood, Wasan Ajeel Kilicman, Adem |
| author_facet | Ahmood, Wasan Ajeel Kilicman, Adem |
| author_sort | Ahmood, Wasan Ajeel |
| collection | UPM |
| description | In this paper, the aim studying this topic is to extend the study of the one-dimensional fractional to the multi-dimensional fractional integral equations and their applications. The multi-dimensional Laplace transform method (M.D.L.T.M) is developed to solve multi-dimensional fractional Integrals equations. We used the one-dimensional Laplace transform for solving the fractional integral. The procedure will simply to find the Laplace transform to the equation, to solve the transform of the unknown function. Finally, find the inverse Laplace to obtain our desired solution. The result reveals that the transform method is very convenient and effective. |
| first_indexed | 2024-03-06T09:19:00Z |
| format | Article |
| id | upm.eprints-53847 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:19:00Z |
| publishDate | 2016 |
| publisher | Little Lion Scientific R&D |
| record_format | dspace |
| spelling | upm.eprints-538472018-02-13T04:03:18Z http://psasir.upm.edu.my/id/eprint/53847/ Solutions of linear multi-dimensional fractional order Volterra integral equations Ahmood, Wasan Ajeel Kilicman, Adem In this paper, the aim studying this topic is to extend the study of the one-dimensional fractional to the multi-dimensional fractional integral equations and their applications. The multi-dimensional Laplace transform method (M.D.L.T.M) is developed to solve multi-dimensional fractional Integrals equations. We used the one-dimensional Laplace transform for solving the fractional integral. The procedure will simply to find the Laplace transform to the equation, to solve the transform of the unknown function. Finally, find the inverse Laplace to obtain our desired solution. The result reveals that the transform method is very convenient and effective. Little Lion Scientific R&D 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/53847/1/Solutions%20of%20linear%20multi-dimensional%20fractional%20order%20Volterra%20integral%20equations.pdf Ahmood, Wasan Ajeel and Kilicman, Adem (2016) Solutions of linear multi-dimensional fractional order Volterra integral equations. Journal of Theoretical and Applied Information Technology, 89 (2). pp. 381-389. ISSN 1992-8645; ESSN: 1817-3195 https://www.researchgate.net/publication/306168485_Solutions_of_linear_multi-dimensional_fractional_order_Volterra_integral_equations |
| spellingShingle | Ahmood, Wasan Ajeel Kilicman, Adem Solutions of linear multi-dimensional fractional order Volterra integral equations |
| title | Solutions of linear multi-dimensional fractional order Volterra integral equations |
| title_full | Solutions of linear multi-dimensional fractional order Volterra integral equations |
| title_fullStr | Solutions of linear multi-dimensional fractional order Volterra integral equations |
| title_full_unstemmed | Solutions of linear multi-dimensional fractional order Volterra integral equations |
| title_short | Solutions of linear multi-dimensional fractional order Volterra integral equations |
| title_sort | solutions of linear multi dimensional fractional order volterra integral equations |
| url | http://psasir.upm.edu.my/id/eprint/53847/1/Solutions%20of%20linear%20multi-dimensional%20fractional%20order%20Volterra%20integral%20equations.pdf |
| work_keys_str_mv | AT ahmoodwasanajeel solutionsoflinearmultidimensionalfractionalordervolterraintegralequations AT kilicmanadem solutionsoflinearmultidimensionalfractionalordervolterraintegralequations |