Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Ndaïrou, Faïçal"'
Autor:
Ndairou, Faical, Torres, Delfim F. M.
Publikováno v:
Mathematics 11 (2023), no. 19, Art. 4218, 12 pp
We introduce a new optimal control problem where the controlled dynamical system depends on multi-order (incommensurate) fractional differential equations. The cost functional to be maximized is of Bolza type and depends on incommensurate Caputo frac
Externí odkaz:
http://arxiv.org/abs/2310.08604
This research presents an advanced fractional-order compartmental model designed to delve into the complexities of COVID-19 transmission dynamics, specifically accounting for the influence of environmental pathogens on disease spread. By enhancing th
Externí odkaz:
http://arxiv.org/abs/2305.16689
Autor:
Ndairou, Faical, Torres, Delfim F. M.
Publikováno v:
Mathematics 9 (2021), no. 19, Art. 2355, 17 pp
Fractional optimal control problems via a wide class of fractional operators with a general analytic kernel are introduced. Necessary optimality conditions of Pontryagin type for the considered problem are obtained after proving a Gronwall type inequ
Externí odkaz:
http://arxiv.org/abs/2109.10945
Weak Pontryagin's Maximum Principle for Optimal Control Problems Involving a General Analytic Kernel
Autor:
Ndairou, Faical, Torres, Delfim F. M.
We prove a duality relation and an integration by parts formula for fractional operators with a general analytical kernel. Based on these basic results, we are able to prove a new Gronwall's inequality and continuity and differentiability of solution
Externí odkaz:
http://arxiv.org/abs/2109.02136
Autor:
Ndairou, Faical, Torres, Delfim F. M.
Publikováno v:
Mathematics 9 (2021), no. 16, Art. 1883, 12 pp
We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type. The possibility that admissible controls are subject to poin
Externí odkaz:
http://arxiv.org/abs/2108.03600
Autor:
Ndairou, Faical, Torres, Delfim F. M.
Publikováno v:
Axioms 10 (2021), no. 3, Art. 135, 13 pp
We propose a qualitative analysis of a recent fractional-order COVID-19 model. We start by showing that the model is mathematically and biologically well posed. Then, we give a proof on the global stability of the disease free equilibrium point. Fina
Externí odkaz:
http://arxiv.org/abs/2106.15407
Publikováno v:
Chaos Solitons Fractals 144 (2021), Art. 110652, 7 pp
A fractional compartmental mathematical model for the spread of the COVID-19 disease is proposed. Special focus has been done on the transmissibility of super-spreaders individuals. Numerical simulations are shown for data of Galicia, Spain, and Port
Externí odkaz:
http://arxiv.org/abs/2101.01287
Autor:
Rosa, Silvério1 (AUTHOR) rosa@ubi.pt, Ndaïrou, Faïçal2 (AUTHOR) faical@ua.pt
Publikováno v:
Mathematics (2227-7390). Apr2024, Vol. 12 Issue 7, p985. 14p.
Autor:
Ndairou, Faical, Torres, Delfim F. M.
Publikováno v:
Axioms 9 (2020), no. 4, Art. 124, 12 pp
Distributed-order fractional non-local operators have been introduced and studied by Caputo at the end of the 20th century. They generalize fractional order derivatives/integrals in the sense that such operators are defined by a weighted integral of
Externí odkaz:
http://arxiv.org/abs/2010.11648
Publikováno v:
Mathematics 8 (2020), no. 11, Art. 1880, 14 pp
We propose a mathematical model for the spread of Japanese encephalitis, with emphasis on environmental effects on the aquatic phase of mosquitoes. The model is shown to be biologically well-posed and to have a biologically and ecologically meaningfu
Externí odkaz:
http://arxiv.org/abs/2010.09418