Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions

Abstract

In this paper, we use some background concerning multivalued functions and set-valued analysis, the fixed point theorem of Bohnenblust-Karlin and the method of upper and lower solutions to investigate the existence of solutions for a class of boundary value problem of functional differential inclusions involving the Caputo-Hadamard fractional derivative.

Keywords

• Fractional differential inclusion
• Caputo-Hadamard fractional derivative
• fixed point
• boundary condition
• upper solution
• lower solution