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
Fractional integro-differential equation, Riemann-Liouville Derivative, Riemann-Liouville Integral, Oscillation
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