Differential operator multiplication method for fractional differential equations

DOI10.1007/s00466-016-1320-0zbMath1400.34013OpenAlexW2518461725WikidataQ113327494 ScholiaQ113327494MaRDI QIDQ341579

Yibo Yang, Shao-Qiang Tang, Yanping Lian, Yuping Ying, Gregory J. Wagner, Stephen Lin, Wing Kam Liu

Publication date: 16 November 2016

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-016-1320-0

zbMATH Keywords

Fourier transformfractional calculusanomalous diffusiondifferential operator multiplication

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Analysis of microstructure in solids (74N15) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)

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Cites Work

• Two-scale mechanism-based theory of nonlinear viscoelasticity
• Anomalous diffusion modeling by fractal and fractional derivatives
• On the numerical evaluation of fractional derivatives in multi-degree-of-freedom systems
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A numerical scheme for initial compliance and creep response of a system
• The numerical solution of fractional differential equations: speed versus accuracy

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