Application of the Local Fractional Fourier Series to Fractal Signals
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Publication:5261474
DOI10.1007/978-3-319-01411-1_4zbMath1319.42005OpenAlexW153274901MaRDI QIDQ5261474
Dumitru Baleanu, Xiao-Jun Yang, José António Tenreiro Machado
Publication date: 3 July 2015
Published in: Discontinuity and Complexity in Nonlinear Physical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-01411-1_4
fractal spacelocal fractional calculuslocal fractional Fourier serieslocal fractional Fourier transform
Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80) Harmonic analysis in one variable (42A99) Antidifferentiation (26A36)
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Cites Work
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- One-phase problems for discontinuous heat transfer in fractal media
- On calculus of local fractional derivatives
- Anomalous diffusion modeling by fractal and fractional derivatives
- On the local fractional derivative
- Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
- Fractal derivative model for air permeability in hierarchic porous media
- Local fractional Fourier series with application to wave equation in fractal vibrating string
- Asymptotic methods for solitary solutions and compactons
- Lagrange characteristic method for solving a class of nonlinear partial differential equations of fractional order
- On the representation of fractional Brownian motion as an integral with respect to \((dt)^a\)
- Time-space fabric underlying anomalous diffusion
- The discrete fractional Fourier transform
- The Fractional Fourier Transform and Applications
- CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
- On Namias's Fractional Fourier Transforms
- The Fractional Order Fourier Transform and its Application to Quantum Mechanics
- Fractional differentiability of nowhere differentiable functions and dimensions
- Sampling and Sampling Rate Conversion of Band Limited Signals in the Fractional Fourier Transform Domain
- Relations between fractional operations and time-frequency distributions, and their applications
- A fractional calculus approach to the description of stress and strain localization in fractal media
- About non-differentiable functions
- Static-kinematic duality and the principle of virtual work in the mechanics of fractal media