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Unexpected behavior of Caputo fractional derivative
(2017-09-01)
This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian ...
Harvest Management Problem with a Fractional Logistic Equation
(Akadémiai Kiadó, 2021-10)
In this article, we study a fractional control problem that models the maximization of the profit obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the ...
The k-fractional logistic equation with k-caputo derivative
(Hikari Ltd, 2015)
A generalization of the fractional logistic equation by using k-Caputo
derivative is introduced. Also a solution that can be expressed en terms
of the k-Mittag-Le er function is obtained.
The development of this paper ...
A prelude to the fractional calculus applied to tumor dynamic
(2014)
In order to refine the solution given by the classical logistic equation and extend its range of applications in the study of tumor dynamics, we propose and solve a generalization of this equation, using the so-called ...
EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR A CLASS OF LOGISTIC TYPE ELLIPTIC EQUATIONS IN R-N INVOLVING FRACTIONAL LAPLACIAN
(2017)
In this paper, we study the existence and uniqueness of positive solutions for the following nonlinear fractional elliptic equation: (-Delta)(alpha)u = lambda alpha(x)u - b(x)u(p) in R-N, where alpha is an element of (0, ...
Degradation kinetics and assessment of the prediction equation of indigestible fraction of neutral detergent fiber from agroindustrial byproducts
(Revista Brasileira de Zootecnia, 2017)
Das transformadas integrais ao cálculo fracionário aplicado à equação logística
(Universidade Estadual Paulista (UNESP), 2015)