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Diffusion equations and different spatial fractional derivatives
Duarte, Alexandre F. B.; Pereira, Jessica de M. Gatti; Lenzi, Marcelo Kaminski; Gonçalves, Giane; Rossato, Roberto; Lenzi, Ervin KaminskiWe investigate for the diffusion equation the differences manifested by the solutions when three different types of spatial differential operators of noninteger (or fractional) order are considered for a limited and unlimited region. In all cases, we verify an anomalous spreading of the system, which can be connected to a rich class of anomalous diffusion processes.
Date: 2014
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