Forced Oscillation of Nonlinear Fractional Delay Differential Equations with Damping Term

Zhu, Siying; Li, Huijuan; Liu, Anping

doi:10.12783/dtcse/amms2018/26195

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2022

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Cited by 1 publication

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“…By (25) and the proof process of Theorem 2, we can obtain ( ) 0 f λ > for R λ ∈ . This is, (22) has no real roots, by Theorem 4, every solution of ( 21) is oscillatory. The proof is complete.…”

Section: Letmentioning

confidence: 91%

See 1 more Smart Citation

Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations

Wang¹,

Long²,

Liu³

2022

JAMP

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In this paper, we study the oscillatory theory for two classes of fractional neutral differential equations. By using fractional calculus and the Laplace transform, we obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results improve and extend some known results in the literature. Furthermore, some examples are provided to show the effectiveness and feasibility of the main results.

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Section: Letmentioning

confidence: 91%

“…where ( ) ( ) ( ) In [22], Zhu et al studied forced oscillatory properties of solutions to nonlinear fractional differential equations with damping term and time delay:…”

Section: Introductionmentioning

confidence: 99%