41 citations · 114 across the 11 of their papers we have counts for
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A Necessary Optimality Condition for Extended Weighted Generalized Fractional Optimal Control Problems
Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres +1
Using the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions…
Near-optimal control of a stochastic SICA model with imprecise parameters
Houssine Zine, Delfim F. M. Torres
An adequate near-optimal control problem for a stochastic SICA (Susceptible-Infected-Chronic-AIDS) compartmental epidemic model for HIV transmission with imprecise parameters is fo…
Mathematical Analysis, Forecasting and Optimal Control of HIV/AIDS Spatiotemporal Transmission with a Reaction Diffusion SICA Model
Houssine Zine, Abderrahim El Adraoui, Delfim F. M. Torres
We propose a mathematical spatiotemporal epidemic SICA model with a control strategy. The spatial behavior is modeled by adding a diffusion term with the Laplace operator, which is…
Weighted Generalized Fractional Integration by Parts and the Euler-Lagrange Equation
Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres +1
Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control. Mot…
A Stochastic Fractional Calculus with Applications to Variational Principles
Houssine Zine, Delfim F. M. Torres
We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations…