Abstract

GALUE, LEDA. Solution of Some Fractional Order Telegraph Equations. Rev.colomb.mat. [online]. 2014, vol.48, n.2, pp.247-267. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v48n2.54157.

In recent years, there has been a great interest in fractional differential equations due to their frequent appearance in various fields, and their more accurate models of systems under consideration provided by fractional derivatives. In particular, fractional order telegraph equations have been considered and solved for many researchers, using different methods. In this paper we derived the solution of two homogeneous space-time fractional telegraph equations using the generalized differential transform method. The derivatives are considered in Caputo sense and the solutions are given in terms of generalized Mittag-Leffler function and the generalized Wright function. Further, various graphics are included which show the behavior of the solution obtained, and results given earlier by Momani, Odibat and Momani, Yildrim, Garg and Sharma, and Garg et al. are obtained as particular cases of ones our.

Keywords : Fractional order telegraph equation; Generalized differential transform method; Caputo fractional derivative; Generalized Mittag-Leffler function; Generalized Wright function.

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