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Zbl 0632.35031
Wyss, Walter
The fractional diffusion equation.
(English)
[J] J. Math. Phys. 27, 2782-2785 (1986). ISSN 0022-2488; ISSN 1089-7658/e

In one space - and in one time-dimension a diffusion equation is solved, where the first time derivative is replaced by the $\lambda$-fractional time derivative, $0<\lambda \le 1$. The solution is given in closed form interms of Fox functions.
MSC 2000:
*35K57 Reaction-diffusion equations
26A24 Differentiation of functions of one real variable
35C05 Solutions of PDE in closed form

Keywords: diffusion equation; fractional time derivative; Fox functions

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