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Generalized differential transform method to space-time fractional telegraph equation. (English) Zbl 1234.35299

Summary: We use the generalized differential transform method (GDTM) to derive the solution of the space-time fractional telegraph equation in closed form. The space and time fractional derivatives are considered in Caputo sense and the solution is obtained in terms of the Mittag-Leffler functions.

MSC:

35R11 Fractional partial differential equations
35Q60 PDEs in connection with optics and electromagnetic theory
33E12 Mittag-Leffler functions and generalizations
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