×

On the fractional-order diffusion-wave process. (English) Zbl 1231.35098

Summary: One of the main applications of the fractional calculus, integration and differentiation of arbitrary orders is the modelling of the intermediate physical processes. Here we formulate a more general model which represents the diffusion wave process in all its cases, and give some examples discussing these different cases.

MSC:

35K57 Reaction-diffusion equations
34A08 Fractional ordinary differential equations
35R11 Fractional partial differential equations
26A33 Fractional derivatives and integrals
PDF BibTeX XML Cite