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Stability analysis of conformable fractional-order nonlinear systems depending on a parameter

Naifar O., Rebiai G., Makhlouf A., Hammami M. A., Guezane-Lakoud A.

Journal of Applied Analysis

2020

Vol. 26, nr 2

287--296

In this paper, the stability of conformable fractional-order nonlinear systems depending on a parameter is presented and described. Furthermore, The design of a feedback controller for the same class of conformable fractional-order systems is introduced. Illustrative examples are given at the end of the paper to show the effectiveness of the proposed results.

Fractional boundary value problems on the half line

Frioui A., Guezane-Lakoud A., Khaldi R.

Opuscula Mathematica

2017

Vol. 37, no. 2

265--280

In this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.

Abstract variable domain hyperbolic differential equations

Guezane-Lakoud A.

Demonstratio Mathematica

2004

Vol. 37, nr 4

883--892

An abstract problem is studied for a class of linear hyperbolic differential equations with variable domain and non-local boundary conditions. Existence and uniqueness of the strong solution are proved.