Positive Solution for P-laplace Problems with Nonlinear Time-fractional Differential Equation

摘要

In recent years, fractional differential equations are widely used in the many academic disciplines - viscoelastic mechanics, Fractal theory and so on. Furthermore, fractional differential equations can be used to describe some abnormal phenomenon. For instance, fractional convection-diffusion equation can be used to describe the fluid of abnormal infiltration phenomenon in the medium. In this paper, by means of the Arzela-Ascoli fixed point theorem, we can prove the existence of solution for the time-fractional differential equations. The conclusion is given out in detail.