Fractional Derivative Modeling in Mechanics and Engineering

This textbook covers the theory of fractional calculus and its applications in mechanics and engineering,including modeling and numerical simulation of complex behavior,unconventional statistics,and anomalous diffusion. It is intended for students,researchers,and professionals in applied physics,engineering mechanics,and applied mathematics.

Format: Paperback / softback
Length: 370 pages
Publication date: 28 February 2023
Publisher: Springer Verlag, Singapore

This comprehensive textbook delves into the realm of fractional calculus, showcasing its vast applications in mechanics and engineering. It provides a detailed account of recent research findings in utilizing fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. The book covers the mathematical foundations of fractional calculus, explores the relationship between fractal and fractional calculus, discusses unconventional statistics and anomalous diffusion, showcases typical applications of fractional calculus, and presents numerical solutions of fractional differential equations. Additionally, it includes recent advancements, such as variable order derivative, distributed order derivative, and their practical applications. Unlike other textbooks in this field, this book presents the theories in a clear and concise manner, closely linking them to practical applications, making it accessible to students, researchers, and professionals in applied physics, engineering mechanics, and applied mathematics. Furthermore, it holds great reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.

Weight: 588g
Dimension: 233 x 155 x 27 (mm)
ISBN-13: 9789811688041
Edition number: 1st ed. 2022