93 citations · 213 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
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…
Lyapunov functions for fractional-order systems in biology: methods and applications
Adnane Boukhouima, Khalid Hattaf, El Mehdi Lotfi +3
We prove new estimates of the Caputo derivative of order for some specific functions. The estimations are shown useful to construct Lyapunov functions for systems of f…