The method of upper and lower solutions for a class of fractional differential coupled systems

Abstract

Abstract In this paper, we investigate a class of nonlocal boundary value problems of nonlinear fractional functional differential coupled systems with state dependent delays. The method of upper and lower solutions is established and some new results for the multiplicity of solutions of the boundary value problem are obtained. An example is also presented to illustrate our main results.

Keywords

• Differential functional differential coupled systems
• State dependent delays
• Boundary value problems
• Riemann–Liouville fractional derivatives
• Method of upper and lower solutions