Existence results for Riemann-Liouville fractional integro-differential inclusions with fractional nonlocal integral boundary conditions

Abstract

We introduce a new class of problems consisting of Riemann-Liouville fractional integro-differential inclusions supplemented with fractional nonlocal multi-point boundary conditions. The existence results for the given problem are derived in the weighted space with the aid of appropriate fixed point theorems for multi-valued maps. Numerical examples are constructed for the illustration of the obtained results.

Keywords

• riemann-liouville fractional derivative
• integro-differential inclusions
• nonlocal multi-point boundary conditions
• existence
• fixed point