Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions

Abstract

Abstract In this paper, we study the periodic boundary value problems for the coupled systems of fractional implicit differential equations. Basing on the coincidence degree theory, we establish the existence and uniqueness theorems. Further, we provide several examples to show our main results.

Keywords

• Fractional implicit differential equation
• Coupled system
• Periodic boundary value problem
• Existence and uniqueness
• Coincidence degree theory