Solvability for a system of Hadamard-type hybrid fractional differential inclusions

Abstract

In this article, a new system of Hadamard-type hybrid fractional differential inclusions equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point theorem due to B. C. Dhage, (Existence results for neutral functional differential inclusions in Banach algebras, Nonlinear Anal. 64 (2006), no. 6, 1290–1306, doi: https://doi.org/10.1016/j.na.2005.06.036), the existence results of solutions for the considered problem are derived in a new norm space for multivalued maps. A numerical example is provided to illustrate our main results.

Keywords

• fractional differential inclusions
• dirichlet boundary conditions
• fixed-point theorem
• existence of solutions
• 34a05
• 34b18
• 26a33