International Journal of Differential Equations

A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations

Fatima A. Alawad, Eltayeb A. Yousif, and Arbab I. Arbab

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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.

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Int. J. Differ. Equ., Volume 2013 (2013), Article ID 256593, 10 pages.

Received: 7 July 2013
Accepted: 8 November 2013
First available in Project Euclid: 20 January 2017

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Alawad, Fatima A.; Yousif, Eltayeb A.; Arbab, Arbab I. A New Technique of Laplace Variational Iteration Method for Solving Space-Time Fractional Telegraph Equations. Int. J. Differ. Equ. 2013 (2013), Article ID 256593, 10 pages. doi:10.1155/2013/256593.

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