Applications of fractional calculus to modeling in dynamics and chaos
著者
書誌事項
Applications of fractional calculus to modeling in dynamics and chaos
Chapman & Hall/CRC Press, c2023
- : hbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Features
Discusses real-world problems, theory, and applications.
Covers new developments and advances in the various areas of nonlinear dynamics, signal processing and chaos.
Suitable to teach Master's and/or Ph.D. level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences.
目次
1. Chaos and Multiple Attractors in Fractional Financial Model. 2. Time-Fractional Optimal Control for Constrained Systems Involving Mittag-Leffler Non-Singular Kernel. 3. Signal Reconstruction by using State Observers for Fractional-Order Chaotic Systems with Application to Secure Communications. 4. On Fractal Structure and co-existing Hidden Attractors in Models with Mittag-Leffler Kernel. 5. Compound Structure with a Fractal Type Representation for Fractional Models. 6. A Behavior of Shallow Water Wave under Mittag-Leffler Law. 7. On Solutions of Fractional Klein-Gordon Equations. 8. Reproducing Kernel Method for Solutions of Fractal Fractional Differential Equations. 9. Stability of Fractional Nonlinear Systems with Mittag-Leffler Kernel and Design of State Observers. 10. Coexistence of Chaotic Attractors in a Four-Dimensional Memristor-based Chaotic Non-Local System. Analysis and FPGA Implementation. 11. New Chaotic Attractor Captured with Fractal-Fractional Differential and Integral Operators. 12. New Results in Modeling Herd Behavior in Ecological Interaction. 13. Double Integration for the Fractional Advection-Dispersion Equation with Non-Singular Derivative. 14. Numerical Methods for Solving Systems of Atangana-Baleanu Fractional Differential Equations. 15. Use of Real Data Application for Analysis of the Measles Disease under Caputo-Fabrizio-Caputo Operator. 16. Crank-Nicolson Quasi Wavelet Method for the Numerical Solution of Variable Order Time Space RIESZ Fractional Reaction-Diffusion Equation. 17. Fractional Optimal Control Model for Nutrient-Phytoplankton-Zooplankton. 18. Comparative Numerical Results Considering Fractional Derivative and Memory Dependent Derivative in Modeling RL and RC Electrical Circuits. 19. Solution of Fractional Langevin Equation with Exponential Kernel and its Anomalous Relaxation Function. 20. A Mathematical Model on Prostitution and Drug (Alcohol) Misuse. The Menacing Combination with Exponential Law Optimal Control. 21. Another Aspect of Fractional Langevin Motion Driven by Fractional Gaussian Noise involving Caputo-Fabrizio derivative
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