Effects of a fractional friction with power-law memory kernel on string vibrations
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Publication:651647
DOI10.1016/j.camwa.2011.04.042zbMath1228.35246OpenAlexW2059113676MaRDI QIDQ651647
Trifce Sandev, Živorad Tomovski
Publication date: 18 December 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.042
Mittag-Leffler functionwave equationfractional integral operatorCaputo time fractional derivativefractional differential operatorfrictional power-law memory kernel
Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- The fundamental solutions for the fractional diffusion-wave equation
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Weighted average finite difference methods for fractional diffusion equations
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
- The general time fractional wave equation for a vibrating string
- A general solution of the diffusion equation for semiinfinite geometries
- The random walk's guide to anomalous diffusion: A fractional dynamics approach