Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type

Abstract

In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli’s fixed point theorem and ρ-resolvent operators. An example is given for theoretical result.

Keywords

• 26A33
• 47J35
• 34K09