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On the conformable fractional logistic models
Author(s) -
AbreuBlaya Ricardo,
Fleitas Alberto,
Nápoles Valdés Juan E.,
Reyes Rosalio,
Rodríguez José M.,
Sigarreta José M.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6180
Subject(s) - conformable matrix , mathematics , fractional calculus , logistic function , derivative (finance) , order (exchange) , inverse , kernel (algebra) , logistic regression , ordinary differential equation , mathematical analysis , pure mathematics , differential equation , statistics , geometry , physics , quantum mechanics , finance , financial economics , economics
In this paper, we use a conformable fractional derivativeG 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.