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Multidimensional solutions of time-fractional diffusion-wave equations

Andrzej HanygaInstitute of Solid Earth Physics, University of Bergen, Allégaten 4, N5007 Bergen, Norway ()
2002en
ABI

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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.

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