Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations (Q606222)

Summary: We consider the existence and uniqueness of a positive solution to a nonzero boundary value problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense. By using the Banach fixed point theorem and nonlinear differentiation of Leray-Schauder type, the existence and uniqueness of a positive solution are obtained. Two examples are given to demonstrate the feasibility of the obtained results.