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 equations D αi ∗ yi (t) = fi (t, y1, . . . , yn), y (k) i = ci k, 1 i n, 1 k mi , where mi <αi mi + 1 and D αi ∗ denotes Caputo fractional derivative. Linear and nonlinear systems have been solved using Banach fixed point theorem. © 2006 Elsevier Inc. All rights reserved.