99 citations · 123 across the 8 of their papers we have counts for
8 papers
Uniform Stability of Dynamic SICA HIV Transmission Models on Time Scales
Zahra Belarbi, Benaoumeur Bayour, Delfim F. M. Torres
We consider a SICA model for HIV transmission on time scales. We prove permanence of solutions and we derive sufficient conditions for the existence and uniform asymptotic stabilit…
Permanence and Uniform Asymptotic Stability of Positive Solutions of SAIQH Models on Time Scales
Nedjoua Zine, Benaoumeur Bayour, Delfim F. M. Torres
A susceptible, asymptomatic, infectious, quarantined, and hospitalized (SAIQH) compartmental model on time scales is introduced and a suitable Lyapunov function is defined. Main re…
Legendre curves on 3-dimensional -Manifolds
Gherici Beldjilali, Benaoumeur Bayour, Habib Bouzir
Legendre curves play a very important and special role in geometry and topology of almost contact manifolds.There are certain results known for Legendre curves in 3-dimensional nor…
Structural derivatives on time scales
Benaoumeur Bayour, Delfim F. M. Torres
We introduce the notion of structural derivative on time scales. The new operator of differentiation unifies the concepts of fractal and fractional order derivative and is motivate…
A Truly Conformable Calculus on Time Scales
Benaoumeur Bayour, Ahmed Hammoudi, Delfim F. M. Torres
We introduce the definition of conformable derivative on time scales and develop its calculus. Fundamental properties of the conformable derivative and integral on time scales are…
Existence of Solution to a Local Fractional Nonlinear Differential Equation
Benaoumeur Bayour, Delfim F. M. Torres
We prove existence of solution to a local fractional nonlinear differential equation with initial condition. For that we introduce the notion of tube solution.
Existence of solution to a nonlinear first-order dynamic equation on time scales
Benaoumeur Bayour, Ahmed Hammoudi, Delfim F. M. Torres
We prove existence of solution to a nonlinear first-order nabla dynamic equation on an arbitrary bounded time scale with boundary conditions, where the right-hand side of the dynam…
Complex-valued fractional derivatives on time scales
Benaoumeur Bayour, Delfim F. M. Torres
We introduce a notion of fractional (noninteger order) derivative on an arbitrary nonempty closed subset of the real numbers (on a time scale). Main properties of the new operator…