Existence of mild solution of Atangana-Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions

摘要

The main objective of this article is to provide the set of sufficient conditions for the existence of mild solution of Atangana-Baleanu fractional differential system with non-instantaneous impulses. Results are obtained via non-compactness of the semigroup and fixed point theory. In the end, an example is given to justify the theoretical results. (C) 2019 Elsevier Ltd. All rights reserved.