Multiple positive solutions for perturbed nonlinear fractional differential system with two control parameters

Abstract

Abstract In this paper, we study a class of perturbed nonlinear fractional differential systems with two control parameters. Under some appropriate conditions on the primitive function of nonlinear terms Fu $F_{u}$ and Fv $F_{v}$, we prove the multiplicity of weak solutions by using the variational method and Ricceri’s critical points theorems.

Keywords

• Three solutions
• Perturbed fractional differential system
• Variational method
• Critical points