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Fractional derivative modeling in mechanics and engineering

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractional derivative modeling in mechanics and engineeringby Wen Chen, HongGuang Sun, Xicheng Li.
作者:	Chen, Wen.
其他作者:	Sun, HongGuang.
出版者:	Singapore :Springer Singapore :2022.
面頁冊數:	xv, 370 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Fractional calculus.
電子資源:	https://doi.org/10.1007/978-981-16-8802-7
ISBN:	9789811688027$q(electronic bk.)

Fractional derivative modeling in mechanics and engineering
Chen, Wen.

Fractional derivative modeling in mechanics and engineering[electronic resource] /by Wen Chen, HongGuang Sun, Xicheng Li. - Singapore :Springer Singapore :2022. - xv, 370 p. :ill., digital ;24 cm.

Introduction -- Mathematical foundation of fractional calculus -- Fractal and fractional calculus -- Fractional diffusion model -- Typical applications of fractional differential equations.

This book highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes 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 summaries the latest findings, such as variable order derivative, distributed order derivative, and its applications. The book avoids lengthy mathematical demonstrations and presents the theories related to the applications in an easily readable manner. This textbook intends 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.

ISBN: 9789811688027$q(electronic bk.)

Standard No.: 10.1007/978-981-16-8802-7doiSubjects--Topical Terms:

208302
Fractional calculus.

LC Class. No.: QA314 / .C44 2022

Dewey Class. No.: 515.83

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505 0 $a Introduction -- Mathematical foundation of fractional calculus -- Fractal and fractional calculus -- Fractional diffusion model -- Typical applications of fractional differential equations.
520 $a This book highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes 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 summaries the latest findings, such as variable order derivative, distributed order derivative, and its applications. The book avoids lengthy mathematical demonstrations and presents the theories related to the applications in an easily readable manner. This textbook intends 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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