Lyapunov-type inequalities for differential equation with Caputo–Hadamard fractional derivative under multipoint boundary conditions

Abstract

Abstract In this work, we establish Lyapunov-type inequalities for the fractional boundary value problems with Caputo–Hadamard fractional derivative subject to multipoint and integral boundary conditions. As far as we know, there is no literature that has studied these problems.

Keywords

• Lyapunov inequality
• Fractional differential equation
• Caputo–Hadamard fractional derivative
• Multipoint boundary value problem
• Integral boundary value problem
• Green’s function