Similarity solution to fractional nonlinear space-time diffusion-wave equation. (English) Zbl 1507.35318
Summary: In this article, the so-called fractional nonlinear space-time wave-diffusion equation is presented and discussed. This equation is solved by the similarity method using fractional derivatives in the Caputo, Riesz-Feller, and Riesz senses. Some particular cases are presented and the corresponding solutions are shown by means of 2-D and 3-D plots.{
©2015 American Institute of Physics}
©2015 American Institute of Physics}
MSC:
| 35R11 | Fractional partial differential equations |
| 35K55 | Nonlinear parabolic equations |
| 35K57 | Reaction-diffusion equations |
| 60J60 | Diffusion processes |
| 26A33 | Fractional derivatives and integrals |
Software:
BVPhReferences:
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