New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations

Abdullah Yiğit

doi:10.36753/mathenot.1438958

EN

New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations

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

Thanks

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

References

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Details

Primary Language

English

Subjects

Dynamical Systems in Applications

Journal Section

Research Article

Authors

Abdullah Yiğit ^*
0000-0002-0099-3095
Türkiye

Early Pub Date

January 21, 2025

Publication Date

March 8, 2025

Submission Date

February 17, 2024

Acceptance Date

December 7, 2024

Published in Issue

Year 2025 Volume: 13 Number: 1

DOI

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

IZ

https://izlik.org/JA67ZJ95PD

APA

Yiğit, A. (2025). New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations. Mathematical Sciences and Applications E-Notes, 13(1), 21-35. https://doi.org/10.36753/mathenot.1438958

AMA

1.Yiğit A. New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations. Math. Sci. Appl. E-Notes. 2025;13(1):21-35. doi:10.36753/mathenot.1438958

Chicago

Yiğit, Abdullah. 2025. “New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations”. Mathematical Sciences and Applications E-Notes 13 (1): 21-35. https://doi.org/10.36753/mathenot.1438958.

EndNote

Yiğit A (March 1, 2025) New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations. Mathematical Sciences and Applications E-Notes 13 1 21–35.

IEEE

[1]A. Yiğit, “New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations”, Math. Sci. Appl. E-Notes, vol. 13, no. 1, pp. 21–35, Mar. 2025, doi: 10.36753/mathenot.1438958.

ISNAD

Yiğit, Abdullah. “New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations”. Mathematical Sciences and Applications E-Notes 13/1 (March 1, 2025): 21-35. https://doi.org/10.36753/mathenot.1438958.

JAMA

1.Yiğit A. New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations. Math. Sci. Appl. E-Notes. 2025;13:21–35.

MLA

Yiğit, Abdullah. “New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations”. Mathematical Sciences and Applications E-Notes, vol. 13, no. 1, Mar. 2025, pp. 21-35, doi:10.36753/mathenot.1438958.

Vancouver

1.Abdullah Yiğit. New Asymptotic Properties for Solutions of Fractional Delay Neutral Differential Equations. Math. Sci. Appl. E-Notes. 2025 Mar. 1;13(1):21-35. doi:10.36753/mathenot.1438958