FRACTAL OSCILLATION AND ITS FREQUENCY-AMPLITUDE PROPERTY

DOI10.1142/S0218348X2150105XzbMath1489.34014OpenAlexW3125118003MaRDI QIDQ5023977

Unnamed Author, Chun-Hui He, Shuai-Jia Kou, Khaled A. Gepreel, Ji-Huan He

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x2150105x

zbMATH Keywords

porous mediumlow frequencyHe's frequency formulationtwo-scale fractal calculusacoustic metamaterialfractal Duffing oscillatorsound and vibration attenuation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

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Cites Work

• A tutorial review on fractal spacetime and fractional calculus
• Homotopy perturbation method with three expansions
• A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar
• ON THE FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION
• FRACTAL N/MEMS: FROM PULL-IN INSTABILITY TO PULL-IN STABILITY
• THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRÖDINGER EQUATION
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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