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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 ...
A generalization of the kinetic equation using the prabhakar-type operators
(Honam Mathematical Society, 2017)
Fractional kinetic equations are investigated in order to
describe the various phenomena governed by anomalous reaction in
dynamical systems with chaotic motion. Many authors have pro-
vided solutions of various families ...
Fractional convexity
(Springer, 2021-08-17)
We introduce a notion of fractional convexity that extends naturally the usual notion of convexity in the Euclidean space to a fractional setting. With this notion of fractional convexity, we study the fractional convex ...
Effects of oxygen index on soot production and temperature in an ethylene inverse diffusion flame
(ELSEVIER SCIENCE INC., 2016)
An experimental study was conducted to investigate the effects of the Oxygen Index (OI) in an ethylene laminar inverse diffusion flame (IDF). The 01 was varied from 21% to 37% and its influence was measured in terms of the ...
Are active organic matter fractions suitable indices of management effects on soil carbon? A meta-analysis of data from the Pampas
(Taylor & Francis, 2016-03)
Active fractions of organic matter have been proposed as early indices of changes in soil organic carbon (organic-C) induced by management. We performed a meta-analysis of published results from 31 field experiments conducted ...
Linear differential equations of fractional order with recurrence relationship
(Natural Sciences Publishing, 2021-01)
This paper introduce the basic general theory for Linear Sequential Fractional Differential Equations which includes a recurrence relationship, involving the Riemann-Liouville fractional operator. The presented equation ...
A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies
(2021-11-01)
This work deals with mathematical modeling applied to the Human Immunodeficiency Virus. Mathematical aspects analysis is presented, discussed and reviewed. A new model based on the Fractional Calculus theory is proposed. ...
Existence and decay rates for a semilinear dissipative fractional second order evolution equation
(Universidade Federal de Santa Maria, 2020)
A fractional Laplace equation: Regularity of solutions and finite element approximations
(Society for Industrial and Applied Mathematics, 2017-01)
This paper deals with the integral version of the Dirichlet homogeneous fractional Laplace equation. For this problem weighted and fractional Sobolev a priori estimates are provided in terms of the Holder regularity of the ...
A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
(Gakkotosho, 2014-04)
We obtain a generalized Neumann solution for the two-phase fractional Lam´eClapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In this problem, the two governing equations ...