Positive Solution to Nonzero Boundary Values Problem for a Coupled System of Nonlinear Fractional Differential Equations

الملخص EN

We consider the existence and uniqueness of positive solution to nonzero boundary values problem for a coupled system of fractional differential equations.

The differential operator is taken in the standard Riemann-Liouville sense.

By using Banach fixed point theorem and nonlinear differentiation of Leray-Schauder type, the existence and uniqueness of positive solution are obtained.

Two examples are given to demonstrate the feasibility of the obtained results.