Existence results for nonlinear sequential Caputo and Caputo-Hadamard fractional differential inclusions with three-point boundary conditions

Abstract

In this paper, we study the existence of solutions for nonlinear sequential Caputo and Caputo-Hadamard fractional differential inclusions with three-point boundary conditions. The both cases of convex valued and nonconvex valued right hand side are considered. Two examples illustrating the effectiveness of the theoretical results are presented.