731 citations · 770 across the 4 of their papers we have counts for
6 papers
Optimal Control Problems Involving Combined Fractional Operators with General Analytic Kernels
Faical Ndairou, Delfim F. M. Torres
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 t…
Pontryagin Maximum Principle for Distributed-Order Fractional Systems
Faical Ndairou, Delfim F. M. Torres
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 Pontrya…
Mathematical Analysis of a Fractional COVID-19 Model Applied to Wuhan, Spain and Portugal
Faical Ndairou, Delfim F. M. Torres
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 pro…
Distributed-Order Non-Local Optimal Control
Faical Ndairou, Delfim F. M. Torres
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 i…
Mathematical Modeling of Japanese Encephalitis Under Aquatic Environmental Effects
Faical Ndairou, Ivan Area, Delfim F. M. Torres
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 biologi…
Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan
Faical Ndairou, Ivan Area, Juan J. Nieto +1
We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic…