Multiple Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations on the Half-line

Abstract

In this paper, we study a boundary value problem for a coupled differential system of fractional order on the half-line. The differential operator is taken in the Riemann–Liouville sense and the nonlinear terms involve the fractional derivative of the unknown functions. Applying the Schauder fixed point theorem, we prove the existence of infinitely many positive unbounded solutions of the fractional differential system. Also, we give examples to illustrate our main result.