Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives

We discuss existence, uniqueness and stability of solutions of the system of nonlinear fractional differential equationsD∗αiyi(t)=fi(t,y1,…,yn),yi(k)=cki,1⩽i⩽n,1⩽k⩽mi, where mi<αi⩽mi+1mi<αi⩽mi+1 and D∗αi denotes Caputo fractional derivative.Linear and nonlinear systems have been solved using Banach fixed point theorem.