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Start Over Descriptor "Hilfer derivative" Journal integral transforms & special functions
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1. Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives.

Author

Saxena, Ram K., Garra, Roberto, and Orsingher, Enzo

Subjects
*ANALYTICAL solutions, *FOURIER transforms, *CAUCHY problem, *MATHEMATICAL analysis, *DERIVATIVES (Mathematics)
Abstract

In this paper we consider space-time fractional telegraph equations, where the time derivatives are intended in the sense of Hilfer and Hadamard while the space-fractional derivatives are meant in the sense of Riesz-Feller. We provide the Fourier transforms of the solutions of some Cauchy problems for these fractional equations. Probabilistic interpretations of some specific cases are also provided. [ABSTRACT FROM AUTHOR]

Published
2016
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