Existence results for coupled nonlinear fractional differential equations with coupled strip and infinite point boundary conditions

In this paper, we investigate a class of nonlinear fractional differential system supple-mented with coupled strip and infinite point boundary conditions. Existence results for the given problem are obtained by using the Banach’s fixed point theorem and the ‖ · ‖_e norm. The Lips-chitz type conditions on nonlinearities are needed and it seems that the continuity assumptions used previously are not sufficient. The proposed problem is of quite a general nature as it covers several special cases. Finally, we present an example to illustrate our main results.