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

Saïd Abbas, Mouffak Benchohra, Samira Hamani, Johnny Henderson

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.