×

zbMATH — the first resource for mathematics

Multidimensional solutions of time-fractional diffusion-wave equations. (English) Zbl 1153.35347
Summary: Green’s functions and propagator functions for the time-fractional generalized diffusion-wave equation in one and three dimensions are expressed in terms of Wright functions. In two dimensions they are expressed in terms of an integral involving the Macdonald function. Their properties are studied analytically and numerically.

MSC:
35K57 Reaction-diffusion equations
35A08 Fundamental solutions to PDEs
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
Software:
Mathematica
PDF BibTeX XML Cite
Full Text: DOI