Existence results for a functional integro-differential inclusions with Riemann-Stieltjes integral or infinite-point boundary conditions

Abstract

In this article, we establish the existence of solutions for initial value problem of fractional-order differential inclusion with nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution on the set of selections and some other functions will be proved.

Keywords

• functional integro-differential inclusion
• fixed point theorem
• riemann–stieltjes integral boundary conditions
• infinite-point boundary conditions