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Nonlinear fractional diffusion equation: exact solutions - DOI: 10.4025/actasci...

Gonçalves, Giane; Lenzi, Marcelo Kaminski; Lenzi, Ervin Kaminski; Antonio, Fernando José; Schot, Alexandre

We devote this work to investigate the solutions of a generalized diffusion equation which contains spatial fractional derivatives and nonlinear terms. The presence of external forces and absorbent terms is also considered. The solutions found here can have a compact or long tail behavior. Particularly in the last case in the asymptotic limit, we relate these solutions to the Lévy or Tsallis distributions. In a...

Date: 2008   |   Origin: Oasisbr
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