32 citations · 159 across the 21 of their papers we have counts for
22 papers
The Regional Boundary Reconstruction Problem of the Initial State for Fractional Semilinear Systems
Khalid Zguaid, Fatima Zahrae El Alaoui, Delfim F. M. Torres
Observability is a fundamental concept in control theory. Its primary purpose is to look into whether it is possible to reconstruct the system's initial state using only the inform…
Dynamic Analysis and Optimal Prevention Strategies for Monkeypox Spread Modeled via the Mittag--Leffler Kernel
Mine Yurtoğlu, Dilara Yapışkan, Ebenezer Bonyah +3
Monkeypox is a viral disease belonging to the smallpox family. Although it has milder symptoms than smallpox in humans, it has become a global threat in recent years, especially in…
A consistent SIR model on time scales with exact solution
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We propose a new dynamic SIR model that, in contrast with the available model on time scales, is biological relevant. For the new SIR model we obtain an explicit solution, we prove…
Analysis of a Shear beam model with suspenders in thermoelasticity of type III
Meriem Chabekh, Nadhir Chougui, Delfim F. M. Torres
We conduct an analysis of a one-dimensional linear problem that describes the vibrations of a connected suspension bridge. In this model, the single-span roadbed is represented as…
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…
Optimal Control of Microcephaly Under Vertical Transmission of Zika
Dilara Yapışkan, Cristiana J. Silva, Delfim F. M. Torres
The Zika virus, known for its potential to induce neurological conditions such as microcephaly when transmitted vertically from infected mothers to infants, has sparked widespread…
Exact solution for a discrete-time SIR model
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We propose a nonstandard finite difference scheme for the Susceptible-Infected-Removed (SIR) continuous model. We prove that our discretized system is dynamically consistent with i…
Dynamics of a Model of Polluted Lakes via Fractal-Fractional Operators with Two Different Numerical Algorithms
Tanzeela Kanwal, Azhar Hussain, İbrahim Avcı +3
We employ Mittag-Leffler type kernels to solve a system of fractional differential equations using fractal-fractional (FF) operators with two fractal and fractional orders. Using t…
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…
Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system
Meriem Boukhobza, Amar Debbouche, Lingeshwaran Shangerganesh +1
We investigate the dynamics of the hepatitis B virus by integrating variable-order calculus and discrete analysis. Specifically, we utilize the Caputo variable-order difference ope…
Modeling Blood Alcohol Concentration Using Fractional Differential Equations Based on the -Caputo Derivative
Om Kalthoum Wanassi, Delfim F. M. Torres
We propose a novel dynamical model for blood alcohol concentration that incorporates -Caputo fractional derivatives. Using the generalized Laplace transform technique, we succes…
Existence and uniqueness of mild solutions for a class of psi-Caputo time-fractional systems of order from one to two
Hamza Ben Brahim, Fatima-Zahrae El Alaoui, Asmae Tajani +1
We prove the existence and uniqueness of mild solutions for a specific class of time-fractional -Caputo evolution systems with a derivative order ranging from 1 to 2 in Banach s…
Existence and Uniqueness of Weak Solutions to Frictionless-Antiplane Contact Problems
Besma Fadlia, Mohamed Dalah, Delfim F. M. Torres
We investigate a quasi-static-antiplane contact problem, examining a thermo-electro-visco-elastic material with a friction law dependent on the slip rate, assuming that the foundat…
Boundary Regional Controllability of Semilinear Systems Involving Caputo Time Fractional Derivatives
Asmae Tajani, Fatima-Zahrae El Alaoui, Delfim F. M. Torres
We study boundary regional controllability problems for a class of semilinear fractional systems. Sufficient conditions for regional boundary controllability are proved by assuming…
Boundary Controllability of Riemann-Liouville Fractional Semilinear Equations
Asmae Tajani, Fatima-Zahrae El Alaoui, Delfim F. M. Torres
We study the boundary regional controllability of a class of Riemann-Liouville fractional semilinear sub-diffusion systems with boundary Neumann conditions. The result is obtained…
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…
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…
On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs
Amal S. Alali, Shahbaz Ali, Muhammad Adnan +1
The smallest set of vertices needed to differentiate or categorize every other vertex in a graph is referred to as the graph's metric dimension. Finding the class of graphs for a p…
Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems
Faical Ndairou, Delfim F. M. Torres
We introduce a new optimal control problem where the controlled dynamical system depends on multi-order (incommensurate) fractional differential equations. The cost functional to b…