93 citations · 215 across the 8 of their papers we have counts for
9 papers
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…
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…
Lyapunov Functions and Stability Analysis of Fractional-Order Systems
Adnane Boukhouima, Houssine Zine, El Mehdi Lotfi +3
This study presents new estimates for fractional derivatives without singular kernels defined by some specific functions. Based on obtained inequalities, we give a useful method to…
Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations
Marouane Mahrouf, Adnane Boukhouima, Houssine Zine +3
The novel coronavirus disease (COVID-19) pneumonia has posed a great threat to the world recent months by causing many deaths and enormous economic damage worldwide. The first case…
Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate
Adnane Boukhouima, El Mehdi Lotfi, Marouane Mahrouf +3
We investigate the celebrated mathematical SICA model but using fractional differential equations in order to better describe the dynamics of HIV-AIDS infection. The infection proc…
A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy
Houssine Zine, Adnane Boukhouima, El Mehdi Lotfi +3
Coronavirus disease 2019 (COVID-19) poses a great threat to public health and the economy worldwide. Currently, COVID-19 evolves in many countries to a second stage, characterized…