A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations
In this paper, the exact solutions of space-time fractional telegraph equations are given in terms of Mittage-Leffler functions via a combination of Laplace transform and variational iteration method. New techniques are used to overcome the difficulties arising in identifying the general Lagrange mu...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2013/256593 |
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| _version_ | 1832562540782026752 |
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| author | Fatima A. Alawad Eltayeb A. Yousif Arbab I. Arbab |
| author_facet | Fatima A. Alawad Eltayeb A. Yousif Arbab I. Arbab |
| author_sort | Fatima A. Alawad |
| collection | DOAJ |
| description | In this paper, the exact solutions of space-time fractional telegraph equations are given in terms of Mittage-Leffler functions via a combination of Laplace transform and variational iteration method. New techniques are used to overcome the difficulties arising in identifying the general Lagrange multiplier. As a special case, the obtained solutions reduce to the solutions of standard telegraph equations of the integer orders. |
| format | Article |
| id | doaj-art-84bc52ab8ebe4e1e9e486779ab3c2dcf |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-84bc52ab8ebe4e1e9e486779ab3c2dcf2025-02-03T01:22:20ZengWileyInternational Journal of Differential Equations1687-96431687-96512013-01-01201310.1155/2013/256593256593A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph EquationsFatima A. Alawad0Eltayeb A. Yousif1Arbab I. Arbab2Department of Mathematics, Faculty of Science, Northern Border University, P.O. Box 1231, Arar 91431, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Northern Border University, P.O. Box 1231, Arar 91431, Saudi ArabiaDepartment of Physics, Faculty of Science, University of Khartoum, P.O. Box 321, 11111 Khartoum, SudanIn this paper, the exact solutions of space-time fractional telegraph equations are given in terms of Mittage-Leffler functions via a combination of Laplace transform and variational iteration method. New techniques are used to overcome the difficulties arising in identifying the general Lagrange multiplier. As a special case, the obtained solutions reduce to the solutions of standard telegraph equations of the integer orders.http://dx.doi.org/10.1155/2013/256593 |
| spellingShingle | Fatima A. Alawad Eltayeb A. Yousif Arbab I. Arbab A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations International Journal of Differential Equations |
| title | A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations |
| title_full | A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations |
| title_fullStr | A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations |
| title_full_unstemmed | A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations |
| title_short | A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations |
| title_sort | new technique of laplace variational iteration method for solving space time fractional telegraph equations |
| url | http://dx.doi.org/10.1155/2013/256593 |
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