General Fractional Derivatives with Applications in Viscoelasticity
  • Author : Xiao-Jun Yang
  • Release Date : 03 April 2020
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 454
  • ISBN 13 : 9780128172094

General Fractional Derivatives with Applications in Viscoelasticity Book Summary

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
Genre : Mathematics
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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 ...

General Fractional Derivatives

General Fractional Derivatives

Author : Xiao-Jun Yang
Publisher : CRC Press
Genre : Mathematics
Total View : 6961 Views
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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 Derivatives

General Fractional Derivatives

Author : Xiao-Jun Yang
Publisher : CRC Press
Genre : Mathematics
Total View : 7446 Views
File Size : 41,9 Mb
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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 ...

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Author : Pouria Hajikarimi,Fereidoon Moghadas Nejad
Publisher : Elsevier
Genre : Technology & Engineering
Total View : 5313 Views
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Applications of Viscoelasticity: Bituminous Materials Characterization and Modeling starts with an introduction to the theory of viscoelasticity, emphasizing its importance to various applications in material characterization and modeling. It next looks at constitutive viscoelastic functions, outlines basic equations for different loading conditions, and introduces the Boltzmann superposition principle, relaxation modulus, ...

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Publisher : Springer Nature
Genre : Technology & Engineering
Total View : 6300 Views
File Size : 48,9 Mb
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This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing ...

Fractional Calculus And Waves In Linear Viscoelasticity  An Introduction To Mathematical Models  Second Edition

Fractional Calculus And Waves In Linear Viscoelasticity An Introduction To Mathematical Models Second Edition

Author : Francesco Mainardi
Publisher : World Scientific
Genre : Mathematics
Total View : 1430 Views
File Size : 53,5 Mb
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Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in ...

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Publisher : Academic Press
Genre : Science
Total View : 8309 Views
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Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems addresses different uncertain processes inherent in the complex systems, attempting to provide global and robust optimized solutions distinctively through multifarious methods, technical analyses, modeling, optimization processes, numerical simulations, case studies as well as applications including theoretical aspects of complexity. Foregrounding ...

Fractional Calculus and Waves in Linear Viscoelasticity

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Author : Francesco Mainardi
Publisher : World Scientific
Genre : Science
Total View : 4255 Views
File Size : 40,6 Mb
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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 ...