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Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts

Yuanjin Zhang, Shujin Li, Fan Kong

2021Probabilistic Engineering Mechanics21 citationsDOI

Topics & Concepts

Duffing equationMathematicsPath integral formulationNonlinear systemFractional calculusProbability density functionMathematical analysisApplied mathematicsStochastic processLinearizationPhysicsQuantum mechanicsStatisticsQuantumFractional Differential Equations SolutionsProbabilistic and Robust Engineering Designstochastic dynamics and bifurcation
Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts | Litcius