Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations

Raziye Mert; Selami Bayeğ

doi:10.17776/csj.1606770

TR EN

Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations

Abstract

In this study, we analyze the oscillatory behavior of solutions to a specific class of fractional integro-differential equations. First, we derive sufficient conditions that ensure nonoscillatory solutions exhibit a well-defined asymptotic behavior. Building on this result, we establish a series of oscillation theorems that provide deeper insight into the qualitative nature of solutions. To validate our theoretical findings, we present a concrete example that demonstrates the applicability of our main results. These contributions aim to advance the theoretical framework of fractional equations, offering new perspectives on their dynamic behavior and potential applications in mathematical modeling

Keywords

References

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Applied Mathematics (Other)

Journal Section

Research Article

Authors

Raziye Mert
0000-0001-6613-2733
Türkiye

Selami Bayeğ ^*
0000-0001-7014-1739
Türkiye

Publication Date

March 25, 2025

Submission Date

December 24, 2024

Acceptance Date

March 1, 2025

Published in Issue

Year 2025 Volume: 46 Number: 1

DOI

https://doi.org/10.17776/csj.1606770

IZ

https://izlik.org/JA39RY35KK

Cite

RIS / Bibtex

APA

Mert, R., & Bayeğ, S. (2025). Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations. Cumhuriyet Science Journal, 46(1), 109-114. https://doi.org/10.17776/csj.1606770

AMA

1.Mert R, Bayeğ S. Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations. CSJ. 2025;46(1):109-114. doi:10.17776/csj.1606770

Chicago

Mert, Raziye, and Selami Bayeğ. 2025. “Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations”. Cumhuriyet Science Journal 46 (1): 109-14. https://doi.org/10.17776/csj.1606770.

EndNote

Mert R, Bayeğ S (March 1, 2025) Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations. Cumhuriyet Science Journal 46 1 109–114.

IEEE

[1]R. Mert and S. Bayeğ, “Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations”, CSJ, vol. 46, no. 1, pp. 109–114, Mar. 2025, doi: 10.17776/csj.1606770.

ISNAD

Mert, Raziye - Bayeğ, Selami. “Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations”. Cumhuriyet Science Journal 46/1 (March 1, 2025): 109-114. https://doi.org/10.17776/csj.1606770.

JAMA

1.Mert R, Bayeğ S. Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations. CSJ. 2025;46:109–114.

MLA

Mert, Raziye, and Selami Bayeğ. “Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations”. Cumhuriyet Science Journal, vol. 46, no. 1, Mar. 2025, pp. 109-14, doi:10.17776/csj.1606770.

Vancouver

1.Raziye Mert, Selami Bayeğ. Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations. CSJ. 2025 Mar. 1;46(1):109-14. doi:10.17776/csj.1606770

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Abstract

Keywords

Some Results on the Oscillation of a Class of Generalized Fractional Integro-Differential Equations

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite