Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives
Ram K. SaxenaDepartment of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, IndiaRoberto GarraDipartimento di Scienze Statistiche, ‘Sapienza’ Università di Roma, Rome, ItalyEnzo OrsingherDipartimento di Scienze Statistiche, ‘Sapienza’ Università di Roma, Rome, Italy
2015en
ABI
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.
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