Existence of Positive Solution to the Cauchy Problem for a Fractional Diffusion Equation with a Singular Nonlinearity

الملخص EN

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.