A numerical method for fractional integral with applications

DOI10.1007/BF02439616zbMath1142.74390OpenAlexW1968881711MaRDI QIDQ1887362

Genguo Li, Chang-Jun Cheng, Zheng-You Zhu

Publication date: 25 November 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02439616

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Linear constitutive equations for materials with memory (74D05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

• Formulation and integration of the standard linear viscoelastic solid with fractional order rate laws
• Damping described by fading memory -- analysis and application to fractional derivative models
• Existence and uniqueness for a nonlinear fractional differential equation
• Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
• Dynamical behavior of nonlinear viscoelastic beams
• Periodic and chaotic behavior of viscoelastic nonlinear (elastica) bars under harmonic excitations
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• On the Fractional Calculus Model of Viscoelastic Behavior
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