The results obtained in this paper are a generalization of the known results in the literature, and present new results for some fractional derivatives.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we study the forced oscillatory theory for higher order fractional differential equations with damping term via $\Psi$-Hilfer fractional derivative.
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Key Findings & Data:We get sufficient conditions which ensure the oscillation of all solutions and give an illustrative example for our results.
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Conclusion & Impact:The results obtained in this paper are a generalization of the known results in the literature, and present new results for some fractional derivatives.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$\Psi$-Hilfer fractional derivative · Damping term · Forced oscillation
Abstract
In this paper, we study the forced oscillatory theory for higher order fractional differential equations with damping term via $\Psi$-Hilfer fractional derivative. We get sufficient conditions which ensure the oscillation of all solutions and give an illustrative example for our results. The $\Psi$-Hilfer fractional derivative according to the choice of the $\Psi$ function is a generalization of the different fractional derivatives defined earlier. The results obtained in this paper are a generalization of the known results in the literature, and present new results for some fractional derivatives.
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