On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses

This manuscripts main objective is to examine the existence of piecewise-continuous mild solution of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions (ABFVFIDI) with non-instantaneous impulses (NII) in Banach space. Based on Martelli's fixed point theorem and rho-resolvent operators, we develop the main results. An example is given to support the validation of the theoretical results achieved. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This paper examines the existence of piecewise-continuous mild solution of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions (ABFVFIDI) with non-instantaneous impulses (NII) in Banach space. The main results are developed based on Martelli's fixed point theorem and rho-resolvent operators, with an example provided to support the validation of the theoretical results.