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Non-stationary semi-analytical solution of fractional vibro-impact system with multiplicative random excitations
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DOI：10.1016/j.cnsns.2026.110481.png)
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Abstract
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• A novel semi-analytical approximation framework to investigate the probabilistic response of stochastic fractional vibro-impact systems is presented. • The proposed method can capture the complete evolution of the probability density from the transient state to the steady state. • The accuracy and robustness are verified through numerical simulations and multiple error metrics. • The complex fractional moment method achieves a speedup of over 130 times compared to traditional Monte Carlo simulations.
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