Abdelkader Moumen

Global Dynamics and Complete Phase Portrait Classification of a Nonlinear SIRS Model with Saturated Incidence

This paper investigates the global dynamics of a nonlinear Susceptible–Infective–Recovered–Susceptible (SIRS) epidemic model with a nonmonotonic saturated incidence rate. By reducing the model to a planar cubic polynomial differential system, we perform a complete qualitative ana...

Polynomial Stability of the Timoshenko Beam System with a Fractional Dynamic Boundary Feedback

We investigate the asymptotic behavior of a Timoshenko beam system in which the free end carries a tip mass subject to a restoring spring force and a tempered Caputo fractional damping force with parameter η>0 (the case η=0 is left as an open problem). Using a diffusive state...

ON A CLASS OF CAUCHY-TYPE PROBLEMS ASSOCIATED WITH WEIGHTED FRACTIONAL DERIVATIVES

This paper investigates the existence and uniqueness of mild solutions for a class of nonlocal Cauchy–type problems involving integro–differential equations with weighted $ \varsigma $–Caputo fractional derivatives. The equations incorporate generalized Volterra and Fredholm inte...