Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Zitane, Hanaa"'
Publikováno v:
Commun. Nonlinear Sci. Numer. Simul. 142 (2025), Art. 108501, 14pp
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 under investigation by means of the Laplace transform method. Then, we der
Externí odkaz:
http://arxiv.org/abs/2412.05349
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
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 the gradient Mittag-Leffler and strong stability, where we use a direct
Externí odkaz:
http://arxiv.org/abs/2411.15280
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
This work deals with the finite time stability of generalized proportional fractional systems with time delay. First, based on the generalized proportional Gr\"onwall inequality, we derive an explicit criterion that enables the system trajectories to
Externí odkaz:
http://arxiv.org/abs/2405.12256
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
Publikováno v:
Chaos Solitons Fractals 177 (2023), Art. 114265, 10 pp
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 that allow concluding the TFSs stability in a finite time interval, whic
Externí odkaz:
http://arxiv.org/abs/2311.06608
Publikováno v:
Computers in Biology and Medicine 167 (2023), Art. 107679, 9 pp
We present a novel Pharmacokinetic/Pharmacodynamic (PK/PD) model for the induction phase of anesthesia, incorporating the $\psi$-Caputo fractional derivative. By employing the Picard iterative process, we derive a solution for a nonhomogeneous $\psi$
Externí odkaz:
http://arxiv.org/abs/2311.05715
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
Publikováno v:
Phys. D 457 (2024), Art. 133951, 9 pp
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 Gronwall's inequality involving the power fractional integral; and we
Externí odkaz:
http://arxiv.org/abs/2312.00014
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
Publikováno v:
Bol. Soc. Mat. Mex. 29 (2023), no. 3, Paper No. 68, 14pp
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 literature. Moreover, as a consequence, we obtain a general version of the clas
Externí odkaz:
http://arxiv.org/abs/2401.14406
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation March 2025 142
Autor:
Zitane, Hanaa, Torres, Delfim F.M.
Publikováno v:
In Physica D: Nonlinear Phenomena January 2024 457
Publikováno v:
Mathematics 2020, 8(3), 353
We investigate the stability and stabilization concepts for infinite dimensional time fractional differential linear systems in Hilbert spaces with Caputo derivatives. Firstly, based on a family of operators generated by strongly continuous semigroup
Externí odkaz:
http://arxiv.org/abs/2003.03085