8 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 YurtoÄlu, Dilara YapıÅkan, 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…
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…
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…