Oscillation Criteria for Fractional-Order Third-Order Neutral Differential Equations with Damping
Keywords:
Fractional differential equations, Neutral equations, Oscillation, Damping, Riccati transformationAbstract
This paper establishes new oscillation criteria for a class of third-order neutral fractional differential equations with nonlinear damping. By employing a modified fractional Riccati transformation combined with integral averaging techniques and the Caputo fractional derivative, we derive sharp sufficient conditions ensuring oscillation of all solutions. The obtained results generalize and improve several known oscillation criteria for integer-order and fractional-order equations reported in the literature. An illustrative example is presented to demonstrate the applicability of the theoretical findings..
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