Boundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions

Abstract

For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for rth order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.

Keywords

• existence
• hadamard-caputo derivative
• fractional differential inclusions
• convex
• nonconvex
• integral boundary conditions
• 26a33
• 34a08
• 34a60
• 34b15