Existence of positive solution to the Cauchy problem for a fractional diffusion equation with a singular nonlinearity
Summary: Fractional diffusion equations describe an anomalous diffusion on fractals. In this paper, by means of the successive approximation method and other analysis technique, we present a local positive solution to Cauchy problem for a fractional diffusion equation with singular nonlinearity. The fractional derivative is described in the Caputo sense.
scientific article; zbMATH DE number 6021211
scientific article