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Numerical Methods for Fractal-Fractional Differential Equations and Engineering

Simulations and Modeling

Medium: Buch
ISBN: 978-1-032-41522-2
Verlag: CRC Press
Erscheinungstermin: 16.05.2023
Lieferfrist: bis zu 10 Tage

This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions.

Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling provides details for stability, convergence, and analysis along with numerical methods and their solution procedures for fractal-fractional operators. The book offers applications to chaotic problems and simulations using multiple fractal-fractional operators and concentrates on models that display chaos. The book details how these systems can be predictable for a while and then can appear to become random.

Practitioners, engineers, researchers, and senior undergraduate and graduate students from mathematics and engineering disciplines will find this book of interest._


Produkteigenschaften


  • Artikelnummer: 9781032415222
  • Medium: Buch
  • ISBN: 978-1-032-41522-2
  • Verlag: CRC Press
  • Erscheinungstermin: 16.05.2023
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2023
  • Serie: Mathematics and its Applications
  • Produktform: Gebunden
  • Gewicht: 810 g
  • Seiten: 432
  • Format (B x H x T): 161 x 240 x 28 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

1. Basic principle of nonlocalities. 2. Basic of fractional operators. 3. Definitions of fractal-fractional operators with numerical approximations. 4. Error analysis. 5. Existence and uniqueness of fractal fractional differential equations. 6. A numerical solution of fractal-fractional ODE with linear interpolation. 7. Numerical scheme of fractal-fractional ODE with middle point interpolation. 8. Fractal-Fractional Euler method. 9. Application of fractal-fractional operators to a chaotic model. 10. Fractal-fractional Modified Chua chaotic attractor. 11. Application of fractal-fractional operators to study a new chaotic model. 12. Fractal-fractional operators and their application to a chaotic system with sinusoidal component. 13. Application of fractal-fractional operators to four-scroll chaotic system. 14. Application of fractal-fractional operators to a novel chaotic model. 15. A 4D chaotic system under fractal-fractional operators. 16. Self-excited and hidden attractors through fractal-fractional operators. 17. Dynamical analysis of a chaotic model in fractal-fractional operators. 18. A chaotic cancer model in fractal-fractional operators. 19. A multiple chaotic attractor model under fractal-fractional operators. 20. The dynamics of multiple chaotic attractor with fractal-fractional operators. 21. Dynamics of 3D chaotic systems with fractal-fractional operators. 22. The hidden attractors model with fractal-fractional operators. 23. An SIR epidemic model with Fractal-fractional derivative. 24. Application of fractal-fractional operators to COVID-19 infection.