Positive solutions for a system of higher-order singular nonlinear fractional differential equations with nonlocal boundary conditions

Abstract

The paper deals with the existence and multiplicity of positive solutions for a system of higher-order singular nonlinear fractional differential equations with nonlocal boundary conditions. The main tool used in the proof is fixed point index theory in cone. Some limit type conditions for ensuring the existence of positive solutions are 0+ u(x) + h1(x) f1(x, u(x), v(x) = 0, D b 0+ v(x) + h2(x) f2(x, u(x), v(x)) = 0,