A Qualitative Result for A Nonlinear Fractional Differential System With Variable Delay

Abstract

This article deals with the problem of asymptotic stability of a fractional mathematical model as a nonlinear fractional differential system with a variable delay. Sufficient conditions of the asymptotic stability are obtained in relation to the system with a variable time delay using a suitable Lyapunov-Krasovskiǐ functional (LKF). The result of this article has new contributions to the existing ones in the literature. We also present an example as the numerical application of the result. © Palestine Polytechnic University-PPU 2023.