Existence of solutions to a class of semilinear fractional differential equations

Abstract:

In this paper, we consider the existence of the solutions to a class of two-term fractional initial boundary value problem: (_^c)D_t^α u(t)+ (_^c)D_t^β u(t)=f(t,u(t) ),0β>0.Our discussion is based on the Schauder fixed point theorem and our result improve some recent results.