Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

This paper studies a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Applying the Schauder fixed point theorem, an existence result is proved for the following system D u.t/ D f .t; v.t/; Dpv.t//; D v.t/ D g.t; u.t/; Dqu.t//; t 2 .0; 1/; u.0/ D 0; u.1/ D u. /; v.0/ D 0; v.1/ D v. /; where ; ; p; q; ; satisfy certain conditions.