Author Address :
LPAM, Faculty ST, UMAB Mostaganem, Algeria.
In this paper, we introduce a high dimensional systems of singular fractional nonlinear differential equations involving $n^2$ Caputo derivatives. Using Schauder fixed point theorem and the contraction mapping principle, we investigate new existence and uniqueness results. Furthermore, we define and study the Ulam-Hyers stability and the generalized Ulam-Hyers stability for such systems. The application of the main results is illustrated by some examples.
Caputo derivative, fixed point, singular fractional differential equation, existence, uniqueness, Ulam-Hyers stability, generalized Ulam-Hyers stability.
Article Info :
Received : January 09, 2018; Accepted : June 22, 2018.