23 citations · 76 across the 8 of their papers we have counts for
8 papers
Controllability and observability of tempered fractional differential systems
Ilyasse Lamrani, Hanaa Zitane, Delfim F. M. Torres
We study controllability and observability concepts of tempered fractional linear systems in the Caputo sense. First, we formulate a solution for the class of tempered systems unde…
Gradient Mittag-Leffler and strong stabilizability of time fractional diffusion processes
Hanaa Zitane, Delfim F. M. Torres
This paper deals with the gradient stability and the gradient stabilizability of Caputo time fractional diffusion linear systems. First, we give sufficient conditions that allow th…
Stability criteria of nonlinear generalized proportional fractional delayed systems
Hanaa Zitane, Delfim F. M. Torres
This work deals with the finite time stability of generalized proportional fractional systems with time delay. First, based on the generalized proportional Grönwall inequality, we…
Generalized Taylor's formula for power fractional derivatives
Hanaa Zitane, Delfim F. M. Torres
We establish a new generalized Taylor's formula for power fractional derivatives with nonsingular and nonlocal kernels, which includes many known Taylor's formulas in the literatur…
A class of fractional differential equations via power non-local and non-singular kernels: existence, uniqueness and numerical approximations
Hanaa Zitane, Delfim F. M. Torres
We prove a useful formula and new properties for the recently introduced power fractional calculus with non-local and non-singular kernels. In particular, we prove a new version of…
Finite time stability of tempered fractional systems with time delays
Hanaa Zitane, Delfim F. M. Torres
We investigate the notion of finite time stability for tempered fractional systems (TFSs) with time delays and variable coefficients. Then, we examine some sufficient conditions th…
Pharmacokinetic/Pharmacodynamic Anesthesia Model Incorporating psi-Caputo Fractional Derivatives
Mohamed Abdelaziz Zaitri, Hanaa Zitane, Delfim F. M. Torres
We present a novel Pharmacokinetic/Pharmacodynamic (PK/PD) model for the induction phase of anesthesia, incorporating the -Caputo fractional derivative. By employing the Picard…
The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems
Hanaa Zitane, Ali Boutoulout, Delfim F. M. Torres
We investigate the stability and stabilization concepts for infinite dimensional time fractional differential linear systems in Hilbert spaces with Caputo derivatives. Firstly, bas…