Wavelets, Fractals and Information Theory IV
Deadline for manuscript submissions: closed (31 December 2021) | Viewed by 4170
Interests: wavelets; fractals; fractional and stochastic equations; numerical and computational methods; mathematical physics; nonlinear systems; artificial intelligence
Special Issues, Collections and Topics in MDPI journals
Wavelet analysis, fractals, fractional order operators, and nonlinear methods for the solution of nonlinear, irregular problems are playing an increasing role in science, engineering applications, and information theory. Wavelet and fractals are the most suitable and efficient methods to analyze irregular shapes and signals, complex systems, localized functions, singularities and singular operators, non-differentiable functions, and, in general, nonlinear and singular problems. Nonlinearity and nonregularity usually characterize the complexity of a problem, thus representing the most studied features to approach a solution to complex problems. Wavelets, fractals, and fractional calculus might also help to improve the analysis of the complexity of a system by taking advantage of the scale dependence typical of wavelets and the recursive law typical of fractals, or the interpolation which is peculiar for fractional operators.
This Special Issue will also be an opportunity to extend the research fields of several interdisciplinary fields, such as image processing, the theory of differential/integral equations, number theory and special functions, generalized multiresolution analysis, and entropy as a measure in all aspects of the theoretical and practical studies of mathematics, physics, and engineering.
The main topics of this Special Issue include (but are not limited to):
- Entropy encoding, wavelet compression, and information theory;
- Fractals, non-differentiable functions. theoretical and applied analytical problems of fractal type, fractional equations;
- Fractal and wavelet solutions of fractional differential equations;
- Wavelet analysis, integral transforms, and applications;
- Wavelet-fractal entropy encoding and computational mathematics in data analysis and time series, including in image analysis;
- Wavelet-fractal approach;
- Multiscale problems;
- Stochastic problems;
- Fractional order operators and methods;
- Artificial Intelligence.
Prof. Dr. Carlo Cattani
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