Work

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

Year: 2025

Type: article

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

Source: Cumhuriyet Science Journal

DOI: 10.17776/csj.1606770

Authors: Raziye Mert, Selami Bayeğ

Institutions: Adana Science and Technology University, University of Turkish Aeronautical Association

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408824638

FWCI:

Cites: 18

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Related to: 10