Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions

Abstract

In this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an approach in the existing literature. Their findings extend and complement certain prior results in the literature.

Keywords

• fractional integral
• caputo fractional derivative
• boundary value problem
• existence of solution
• lyapunov inequality
• green’s function