Mild Solutions for Fractional Differential Equations with Nonlocal Conditions

This paper is concerned with the existence and uniqueness of mild solution of the fractional differential equations with nonlocal conditions dqx(t)/dtq= Ax(t)+f(t,x(t),Gx(t)), t∈[0,T], and x(0)+g(x)=x0, in a Banach space X, where 0