期刊
FRACTAL AND FRACTIONAL
卷 3, 期 2, 页码 -出版社
MDPI
DOI: 10.3390/fractalfract3020014
关键词
fractional diffusion equatiion; fractional diffusion-reaction equation; Caputo generalized fractional derivative; approximate solution
In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed. The Caputo generalized fractional derivative was used. The effects of the orders alpha and rho in the diffusion processes was addressed. The graphical representations of the approximate solutions of the fractional diffusion equation and the fractional diffusion-reaction equation both described by the Caputo generalized fractional derivative were provided.
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