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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.
List of contents
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
About the author
Dr. Snehashish Chakraverty is a Senior Professor in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, with over 30 years of teaching and research experience. A gold medalist from the University of Roorkee (now IIT Roorkee), he earned his Ph.D. from IIT Roorkee and completed post-doctoral work at the University of Southampton (UK) and Concordia University (Canada). He has also served as a visiting professor in Canada and South Africa. Dr. Chakraverty has authored/edited 38 books and published over 495 research papers. His research spans differential equations (ordinary, partial, fractional), numerical and computational methods, structural and fluid dynamics, uncertainty modeling, and soft computing techniques. He has guided 27 Ph.D. scholars, with 10 currently under his supervision.
He has led 16 funded research projects and hosted international researchers through prestigious fellowships. Recognized in the top 2% of scientists globally (Stanford-Elsevier list, 2020–2024), he has received numerous awards including the CSIR Young Scientist Award, BOYSCAST Fellowship, INSA Bilateral Exchange, and IOP Top Cited Paper Awards. He is Chief Editor of International Journal of Fuzzy Computation and Modelling and serves on several international editorial boards.
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.
