Analysis of plant nectar pollination mathematical model with Caputo fractional derivative

In this thesis, the mathematical model of Plant Nectar Pollination is analyzed through the application of fractional derivative operators. The model is extended by incorporating the well-established Caputo fractional derivative, widely recognized in the literature. Subsequently, the existence and uniqueness of the solution for the model involving the Caputo fractional derivative operator are established by employing the Arzela-Ascoli theorem. Following the stability analysis, which is conducted using the Hyers-Ulam stability theorem, numerical solutions are obtained via the Atangana-Owolabi numerical approach.