Applications of fractional calculus to modeling in dynamics and chaos. (2022)

• Record Type: Book
• Further Information: Note: Edited by J.F. Gomez-Aguilar, Abdon Atangana.
• Editors: Gomez-Aguilar, J. F; Atangana, Abdon
• Contents: Chapter 1: Chaos and Multiple Attractors in Fractional Financial Model; Rahat Zarin, Ebenezer Bonyah, Md. Nur Alam ; ; Chapter 2: Time-Fractional Optimal Control for Constrained Systems Involving Mittag-Leffler Non-Singular Kernel ; G.M. Bahaa, A. Hamiaz, W. Abuelela ; ; Chapter 3: Signal Reconstruction by using State Observers for Fractional-Order Chaotic Systems with Application to Secure Communications; Juan J. Montesinos-García, Rafael Martínez-Guerra; ; Chapter 4: On Fractal Structure and co-existing Hidden Attractors in Models with Mittag-Leffler Kernel ; Emile Franc Doungmo Goufo ; ; Chapter 5: Compound Structure with a Fractal Type Representation for Fractional Models ; Emile Franc Doungmo Goufoa, Abdon Atangana ; ; Chapter 6: A Behavior of Shallow Water Wave under Mittag-Leffler Law ; Emile Franc Doungmo Goufoa, PM Tchepmo Djomegni, M Mbehou, SB Mugisha ; ; Chapter 7: On Solutions of Fractional Klein–Gordon Equations; Ali Akgül; ; Chapter 8: Reproducing Kernel Method for Solutions of Fractal Fractional Differential Equations ; Ali Akgül ; ; Chapter 9: Stability of Fractional Nonlinear Systems with Mittag-Leffler Kernel and Design of State Observers ; Oscar Martínez-Fuentes, Sergio M. Delfín-Prieto ; ; Chapter 10: Coexistence of Chaotic Attractors in a Four-Dimensional Memristor-based Chaotic Non-Local System: Analysis and FPGA Implementation ; E. Zambrano-Serrano, C. Posadas-Castillo, M.A. Platas-Garza Chapter 11: New Chaotic Attractor Captured with Fractal-Fractional Differential and Integral Operators ; Abdon Atangana, Sonal Jain ; ; Chapter 12: New Results in Modeling Herd Behavior in Ecological Interaction ; Salih Djilali, Soufiane Bentout, Behzad Ghanbari ; ; Chapter 13: Double Integration for the Fractional Advection-Dispersion Equation with Non-Singular Derivative ; Ndolane Sene ; ; Chapter 14: Numerical Methods for Solving Systems of Atangana-Baleanu Fractional Differential Equations; Dumitru Baleanu, Babak Shiri ; ; Chapter 15: Use of Real Data Application for Analysis of the Measles Disease under Caputo-Fabrizio-Caputo Operator ; Sania Qureshi, Zaib-un-Nisa Memon; ; Chapter 16: Crank-Nicolson Quasi Wavelet Method for the Numerical Solution of Variable Order Time Space RIESZ Fractional Reaction-Diffusion Equation ; Sachin Kumar ; ; Chapter 17: Fractional Optimal Control Model for Nutrient-Phytoplankton-Zooplankton ; Ebenezer Bonyah ; ; Chapter 18: Comparative Numerical Results Considering Fractional Derivative and Memory Dependent Derivative in Modeling RL and RC Electrical Circuits ; Norodin A. Rangaig, Alvanh Alem G. Pido, Dumitru Baleanu; ; Chapter 19: Solution of Fractional Langevin Equation with Exponential Kernel and its Anomalous Relaxation Function; Norodin A. Rangaig, Alvanh Alem G. Pido, Caironesa P. Dulpina ; ; Chapter 20: A Mathematical Model on Prostitution And Drug (Alcohol) Misuse: The Menacing Combination with Exponential Law Optimal Control ; E. Bonyaha, Amma Achiaa ; ; Chapter 21: Another Aspect of Fractional Langevin Motion Driven by Fractional Gaussian Noise involving Caputo-Fabrizio derivative ; Norodin A. Rangaig, Alvanh Alem G. Pido, Caironesa P. Dulpina; ;
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2022
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 515.83; Fractional calculus; Mathematical models
• Languages: English
• ISBNs: 9781000597615; 9781000597592; 9781003006244
• Related ISBNs: 9780367438876
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.