Blow-Up and Global Existence of Solutions for the Time Fractional Reaction–Diffusion Equation
Blow-Up and Global Existence of Solutions for the Time Fractional Reaction–Diffusion Equation
In this paper, we investigate a reaction–diffusion equation with a Caputo fractional derivative in time and with boundary conditions. According to the principle of contraction mapping, we first prove the existence and uniqueness of local solutions. Then, under some conditions of the initial data, we obtain two sufficient conditions for …