Abstract
In this paper, we use a conformable fractional derivative G T α , with kernel T ( t , α ) = e ( α − 1 ) t , in order to study the fractional differential equation associated to a logistic growth model. As a practical application, we estimate the order of the derivative of the fractional logistic models, by solving an inverse problem involving real data. In the same direction, we show the feasibility of our approach with respect to the Ordinary, Khalil et al and Caputo approaches.
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