On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions

Abstract

Abstract This research article is mainly concerned with the existence of solutions for a coupled Caputo–Hadamard of nonconvex fractional differential inclusions equipped with boundary conditions. We derive our main result by applying Mizoguchi–Takahashi’s fixed point theorem with the help of P $\mathcal{P}$ -function characterizations.

Keywords

• Hadamard fractional integral
• Hadamard–Caputo fractional derivative
• MT $\mathcal{MT}$ -function
• P $\mathcal{P}$ -function
• Mizoguchi–Takahashi’s condition