Positive solutions for Caputo fractional differential system with coupled boundary conditions

Abstract

Abstract This paper focuses on the Caputo fractional differential system involving coupled integral boundary conditions and parameters. Using the properties of the Green function, the Leray–Schauder’s alternative and the Banach contraction principle, the existence and uniqueness results of the system are established. An example is then given to demonstrate the validity of the result.

Keywords

• Existence
• Uniqueness
• Caputo fractional differential system
• Coupled integral boundary conditions