Fractional Calculus: Application to Chaos and Statistics
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Complexity".
Deadline for manuscript submissions: closed (15 December 2020) | Viewed by 5907
Special Issue Editor
Special Issue Information
In recent years, fractional calculus has allowed us to describe several complex problems in the fields of mathematics, physics, biology, economics, and engineering. The complexity of these problems has led researchers to develop mathematical theories to model the complexities of nature by taking into account fractional calculus. Mathematical models are powerful tools that can be used to describe real-world problems; to develop mathematical models, differential equations and differential operators are required. At present, the literature contains two classes of differential operators, namely local and non-local operators (divided into three kinds: differential operators with a power-law kernel, differential operators with exponential decay, differential operators with the Mittag-Leffler function, and finally fractal-fractional operators).
This Special Issue will focus on the theory and applications of fractional-order derivatives and fractional-order integrals in different aspects of Chaos and Statistics. We welcome manuscripts regarding complex dynamical systems, nonlinearity, chaos, synchronization, neural networks, or fractional dynamics in computational biology.
The Special Issue will explore fundamental and application issues with the new derivatives in established areas of scientific computation, chaos and statistics, and emerging fields.
Potential topics include, but are not limited to, the application of fractional differential operators to:
- fractional calculus;
- chaotic processes;
- computational biology;
- non-Markovian processes;
- power-law kernels;
- exponential kernels;
- Mittag-Leffler derivatives;
- fractal-fractional derivatives;
- fractional control;
- fractional estimation;
- signal processing;
- artificial neural networks; and
- image processing.
Prof. Gómez Aguilar José Francisco
Guest Editor
Manuscript Submission Information
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