1st ed. 2022 Edition
by Wen Chen (Author), HongGuang Sun (Author), Xicheng Li (Author)
This textbook highlights the theory of
fractional calculus and its wide applications in mechanics and
engineering. It describes in details the research findings in using
fractional calculus methods for modeling and numerical simulation of
complex mechanical behavior. It covers the mathematical basis of
fractional calculus, the relationship between fractal and fractional
calculus, unconventional statistics and anomalous diffusion, typical
applications of fractional calculus, and the numerical solution of the
fractional differential equation. It also includes latest findings, such
as variable order derivative, distributed order derivative and its
applications. Different from other textbooks in this subject, the book
avoids lengthy mathematical demonstrations, and presents the theories in
close connection to the applications in an easily readable manner. This
textbook is intended for students, researchers and professionals in
applied physics, engineering mechanics, and applied mathematics. It is
also of high reference value for those in environmental mechanics,
geotechnical mechanics, biomechanics, and rheology.
