Analysis of a Fractional Plant-Nectar-Pollinator Model with the Exponential Kernel

Authors : Mustafa Ali DOKUYUCU

Pages : 11-20

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Publication Date : 2020-06-24

Article Type : Research Paper

Abstract :This paper extends the plant-nectar-pollination model to the Caputo-Fabrizio fractional derivative, following which the existence and singularity resolutions of the new model are studies with the Picard-Lindelöf method. Afterwards Hyers-Ulam stability is utilized to analyse the stability of the PNP model. Lastly, Adam-Basford numerical approach is used for numeral resolutions.
Keywords : PNP model, Caputo Fabrizio fractional derivative, Adam Basford numerical method, Picard Lindelöf method