Dynamics of a fractional derivative type of a viscoelastic rod with random excitation

DOI10.1515/fca-2015-0071zbMath1428.74100OpenAlexW2562820252MaRDI QIDQ888911

Marko Nedeljkov, Danijela Rajter-Ćiri, Stevan Pilipović, Teodor M. Atanacković

Publication date: 3 November 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2015-0071

zbMATH Keywords

weak solutionperturbationwhite noisestochastic moment

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (4)

A free fractional viscous oscillator as a forced standard damped vibration ⋮ On infinite order differential operators in fractional viscoelasticity ⋮ Extending the deterministic Riemann-Liouville and Caputo operators to the random framework: A mean square approach with applications to solve random fractional differential equations ⋮ Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay

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