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

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

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Publication Details

Journal
Cumhuriyet Science Journal
Published
2025-03-25
DOI
https://doi.org/10.17776/csj.1606770
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Raziye Mert, Selami Bayeğ
Cumhuriyet Science Journal
Fractional Differential Equations Solutions
article

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

Raziye Mert, Selami Bayeğ
article en

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

Cumhuriyet Science JournalVol. 46(1)
University of Turkish Aeronautical Association (TR), Adana Science and Technology University (TR)
Openalex Percentile: Top 93%
Fractional Differential Equations Solutions
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