Authors:
Melani Barrios Departamento de Matemática, Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Universidad Nacional de Rosario, Avda. Pellegrini 250, S2000BTP, Rosario, Argentina
CONICET, Avda. Pellegrini 250, S2000BTP, Rosario, Argentina

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Gabriela Reyero Departamento de Matemática, Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Universidad Nacional de Rosario, Avda. Pellegrini 250, S2000BTP, Rosario, Argentina

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Mabel Tidball CEE-M, Univ. Montpellier, CNRS, INRAE, Institut Agro, Montpellier, France

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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 singularity of this problem, we develop different resolution techniques, both for the classical case and for the fractional case. We perform several numerical simulations to make a comparison between both cases.

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Mathematica Pannonica
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