New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations

Year 2025, Volume: 13 Issue: 1, 21 - 35

Abdullah Yiğit

https://doi.org/10.36753/mathenot.1438958

Abstract

In this note, we consider new asymptotic stability properties for solutions of several fractional delay neutral differential equations of a certain type. To obtain the desired properties, we use Lyapunov's direct method, which has a wide range of applications. Finally, we draw the reader's attention to some examples supporting the obtained asymptotic stability properties and their plots under different initial conditions. With this note, we extend and improve some results previously considered in the relevant literature.

Keywords

Asymptotic stability, Continuous function, Fractional derivative, Lyapunov direct method, Neutral differential equation, Variable delay

Ethical Statement

It is declared that during the preparation process of this study, scientific and ethical principles were followed and all the studies benefited from are stated in the bibliography.

Supporting Institution

No grants were received from any public, private or non-profit organizations for this research.

Thanks

The author would like to express his sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions.

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