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Keywords: fractional derivative
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Journal Articles

Transient Response Analysis of Nonlinear Oscillators With Fractional Derivative Elements Under Gaussian White Noise Using Complex Fractional Moments

Takahiro Tsuchida, Daizoh Itoh, Tsubasa Eguchi
Journal: ASME Open Journal of Engineering
Publisher: ASME
Article Type: Research Papers
ASME Open J. Engineering. January 2024, 3: 031007.
Paper No: AOJE-23-1096
https://doi.org/10.1115/1.4065126
Published Online: April 9, 2024
...-based analysis is performed to determine the transient response PDF of nonlinear oscillators with fractional derivative elements under Gaussian white noise. First, an equivalent linear system is introduced for the purpose of deriving the Fokker–Planck (FP) equation for response amplitude. The equivalent...
View Article titled, Transient Response Analysis of Nonlinear Oscillators With <span class="search-highlight">Fractional</span> <span class="search-highlight">Derivative</span> Elements Under Gaussian White Noise Using Complex Fractional Moments
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Topics: Damping, Density, Differential equations, Displacement, Probability, Stiffness, Transients (Dynamics), White noise, Polynomials, Equations of motion