Computation and Modeling for Fractional Order Systems

Erscheinungsjahr 2024
ISBN: 978-0-443-15404-1
Verlag: Elsevier Science & Technology

Buch, Englisch, Format (B × H): 191 mm x 235 mm, Gewicht: 450 g

Computation and Modeling for Fractional Order Systems provides readers with problem-solving techniques for obtaining exact and/or approximate solutions of governing equations arising in fractional dynamical systems presented using various analytical, semi-analytical, and numerical methods. Various analytical/semi-analytical/numerical methods are applied for solving real-life fractional order problems. The comprehensive descriptions of different recently developed fractional singular, non-singular, fractal-fractional, and discrete fractional operators, along with computationally efficient methods, are included for the reader to understand how these may be applied to real-world systems, and a wide variety of dynamical systems such as deterministic, stochastic, continuous, and discrete are addressed. Fractional calculus has gained increasing popularity and relevance over the last few decades, due to its well-established applications in various fields of science and engineering. It deals with the differential and integral operators with non-integral powers. Fractional differential equations are the pillar of various systems occurring in a wide range of science and engineering disciplines, namely physics, chemical engineering, mathematical biology, financial mathematics, structural mechanics, control theory, circuit analysis, and biomechanics, among others.

Autoren/Hrsg.

Jena, Rajarama Mohan

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. Computational Efficient Analytical and Numerical Methods for Fractional Order Models 2. Local Fractional Derivatives and Their Applications 3. Variable Order Fractal-Fractional Models 4. Piecewise Concept in Fractional Models 5. Fractional Order Integrodifferential Models 6. Uncertainty Modelling and AI in Fractional Models 7. Fractional Calculus in Epidemiology, Biomathematics, and Financial Mathematics 8. Nonlinear Dynamics and Chaos in Science and Engineering 9. Discrete Fractional Operators with Applications 10. New Fractional Operators in Real-Life Dynamical Models 11. Application of Fractional Calculus in Electrical, Chemical, and Mechanical Engineering

Über Autor(innen)

Jena, Rajarama Mohan
Rajarama Mohan Jena is Senior Research Fellow in the Department of Mathematics (Applied Mathematics Group) at the National Institute of Technology Rourkela, Odisha, India. He has an M.Sc. in Applied Mathematics and Computing from the Indian Institute of Technology, Dhanbad, India. Rajarama's area of research interest includes Fractional Calculus, Partial Differential Equations, Numerical Analysis, Mathematical Modelling, and Uncertainty Modelling, and he has been assisting Dr. Chakraverty in various research projects relating to this book.