28 citations · 57 across the 5 of their papers we have counts for
5 papers
Existence of Positive Mild Eigenfunctions for Caputo Fractional Semilinear Evolution Equations with Nonlocal Initial Conditions
Sajid Ullah, Assia Guezane-Lakoud
We study the existence of positive eigenpairs for a class of Caputo fractional autonomous evolution equations with nonlocal initial condition within the framework of Banach lattice…
Linearized stability analysis of Caputo-Katugampola fractional-order nonlinear systems
D. Boucenna, A. Ben Makhlouf, O. Naifar +2
In this paper, a linearized asymptotic stability result for a Caputo-Katugampola fractional-order systems is described. An application is given to demonstrate the validity of the p…
Lyapunov-type inequality for a fractional boundary value problem with natural conditions
Assia Guezane-Lakoud, Rabah Khaldi, Delfim F. M. Torres
We derive a new Lyapunov type inequality for a boundary value problem involving both left Riemann--Liouville and right Caputo fractional derivatives in presence of natural conditio…
On a Fractional Oscillator Equation with Natural Boundary Conditions
Assia Guezane-Lakoud, Rabah Khaldi, Delfim F. M. Torres
We prove existence of solutions for a nonlinear fractional oscillator equation with both left Riemann-Liouville and right Caputo fractional derivatives subject to natural boundary…
Linear and nonlinear fractional Voigt models
Amar Chidouh, Assia Guezane-Lakoud, Rachid Bebbouchi +2
We consider fractional generalizations of the ordinary differential equation that governs the creep phenomenon. Precisely, two Caputo fractional Voigt models are considered: a rheo…