General Fractional Derivatives with Applications in Viscoelasticity

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  • Author : Xiao-Jun Yang
  • Publisher : Academic Press
  • Pages : 454 pages
  • ISBN : 0128172096
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>General Fractional Derivatives with Applications in Viscoelasticity

Download or Read online General Fractional Derivatives with Applications in Viscoelasticity full in PDF, ePub and kindle. this book written by Xiao-Jun Yang and published by Academic Press which was released on 03 April 2020 with total page 454 pages. We cannot guarantee that General Fractional Derivatives with Applications in Viscoelasticity book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials. General Fractional Derivatives with Applications in Viscoelasticity makes a concise presentation of general fractional calculus. Presents a comprehensive overview of the fractional derivatives and their applications in viscoelasticity Provides help in handling the power-law functions Introduces and explores the questions about general fractional derivatives and its applications

General Fractional Derivatives with Applications in Viscoelasticity

General Fractional Derivatives with Applications in Viscoelasticity
  • Author : Xiao-Jun Yang,Feng Gao,Yang Ju
  • Publisher : Academic Press
  • Release : 03 April 2020
GET THIS BOOK General Fractional Derivatives with Applications in Viscoelasticity

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as

General Fractional Derivatives

General Fractional Derivatives
  • Author : Xiao-Jun Yang
  • Publisher : CRC Press
  • Release : 10 May 2019
GET THIS BOOK General Fractional Derivatives

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex herbivores to figure out the

General Fractional Derivatives

General Fractional Derivatives
  • Author : Xiao-Jun Yang
  • Publisher : CRC Press
  • Release : 10 May 2019
GET THIS BOOK General Fractional Derivatives

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex herbivores to figure out the

Fractional Calculus and Waves in Linear Viscoelasticity

Fractional Calculus and Waves in Linear Viscoelasticity
  • Author : Francesco Mainardi
  • Publisher : World Scientific
  • Release : 13 June 2021
GET THIS BOOK Fractional Calculus and Waves in Linear Viscoelasticity

This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types. It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material

Distributed Order Dynamic Systems

Distributed Order Dynamic Systems
  • Author : Zhuang Jiao,YangQuan Chen,Igor Podlubny
  • Publisher : Springer Science & Business Media
  • Release : 24 February 2012
GET THIS BOOK Distributed Order Dynamic Systems

Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order

Boundary Element Methods in Applied Mechanics

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  • Author : Masataka Tanaka,Thomas A. Cruse
  • Publisher : Pergamon
  • Release : 13 June 1988
GET THIS BOOK Boundary Element Methods in Applied Mechanics

This Proceedings features a broad range of computational mechanics papers on both solid and fluid mechanics as well as electromagnetics, acoustics, heat transfer and other interdisciplinary problems. Topics covered include theoretical developments, numerical analysis, intelligent and adaptive solution strategies and practical applications.

Fractional and Multivariable Calculus

Fractional and Multivariable Calculus
  • Author : A.M. Mathai,H.J. Haubold
  • Publisher : Springer
  • Release : 25 July 2017
GET THIS BOOK Fractional and Multivariable Calculus

This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe