Nonexistence of Solutions Results for Certain Fractional Differential Equations

Abstract

This paper is meant to establish sufficient conditions for the nonexistence of weak solutions to nonlinear fractional diffusion equation in space and time with nonlinear convective term. The Fujita exponent is determined.

Keywords:

• convection-diffusion problem
• reaction-diffusion equations
• weak solution

AMS Sub ject Classification:

• 65N15
• 35K57
• 35D30