Abstract
In this article, a plant-nectar-pollinator (PNP) model has been generalized involving Atangana-Baleanu fractional-order derivative. This new kind of derivative provide us important information of variables specially used in the complex system. Existence and uniqueness (EU) of solutions for the fractional order PNP model are examined via Picard-Lindelof method and stability analysis is discussed by Picard's stability technique. The results show better performance of the model under fractional derivative proving that the dynamics of the PNP can be well understood if non-local effects are considered within the model. Moreover, the developed model is illustrated with numerical examples for different orders of the model. (C) 2019 Faculty of Engineering, Alexandria University Production and hosting by Elsevier B.V.