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Fractional Derivative Modeling in Mechanics and Engineering (Hardcover, 1st ed. 2022)
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Fractional Derivative Modeling in Mechanics and Engineering (Hardcover, 1st ed. 2022)
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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.
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