Fractional Calculus And Waves In Linear Viscoelasticity An Introduction To Mathematical Models Second Edition
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Fractional Calculus And Waves In Linear Viscoelasticity
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Author : Francesco Mainardi
language : en
Publisher: World Scientific
Release Date : 2010
Fractional Calculus And Waves In Linear Viscoelasticity written by Francesco Mainardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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 needed to delve further into the subject and explore the research literature given in the huge general bibliography. This book is likely to be of interest to applied scientists and engineers.
Fractional Calculus And Waves In Linear Viscoelasticity An Introduction To Mathematical Models Second Edition
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Author : Francesco Mainardi
language : en
Publisher: World Scientific
Release Date : 2022-08-16
Fractional Calculus And Waves In Linear Viscoelasticity An Introduction To Mathematical Models Second Edition written by Francesco Mainardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-16 with Mathematics categories.
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 the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature. In particular the relevant role played by some special functions is pointed out along with their visualization through plots. Graphics are extensively used in the book and a large general bibliography is included at the end.This new edition keeps the structure of the first edition but each chapter has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions that are known to play a fundamental role in linear viscoelasticity.This book is suitable for engineers, graduate students and researchers interested in fractional calculus and continuum mechanics.
Fractional Calculus Models And Numerical Methods Second Edition
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Author : Juan J Trujillo
language : en
Publisher: World Scientific
Release Date : 2016-09-15
Fractional Calculus Models And Numerical Methods Second Edition written by Juan J Trujillo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-15 with Mathematics categories.
This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods. Moreover, we will introduce some applied topics, in particular fractional variational methods which are used in physics, engineering or economics. We will also discuss the relationship between semi-Markov continuous-time random walks and the space-time fractional diffusion equation, which generalizes the usual theory relating random walks to the diffusion equation. These methods can be applied in finance, to model tick-by-tick (log)-price fluctuations, in insurance theory, to study ruin, as well as in macroeconomics as prototypical growth models.All these topics are complementary to what is dealt with in existing books on fractional calculus and its applications. This book will keep in mind the trade-off between full mathematical rigor and the needs of readers coming from different applied areas of science and engineering. In particular, the numerical methods listed in the book are presented in a readily accessible way that immediately allows the readers to implement them on a computer in a programming language of their choice.The second edition of the book has been expanded and now includes a discussion of additional, newly developed numerical methods for fractional calculus and a chapter on the application of fractional calculus for modeling processes in the life sciences.
Basic Theory
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Author : Anatoly Kochubei
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-02-19
Basic Theory written by Anatoly Kochubei and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Mathematics categories.
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.
Fractional Calculus
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Author : Dumitru Baleanu
language : en
Publisher: World Scientific
Release Date : 2012
Fractional Calculus written by Dumitru Baleanu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This title will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods.
Fractional Calculus An Introduction For Physicists
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Author : Richard Herrmann
language : en
Publisher: World Scientific
Release Date : 2011-02-21
Fractional Calculus An Introduction For Physicists written by Richard Herrmann and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-21 with Science categories.
Fractional calculus is undergoing rapid and ongoing development. We can already recognize, that within its framework new concepts and strategies emerge, which lead to new challenging insights and surprising correlations between different branches of physics.This book is an invitation both to the interested student and the professional researcher. It presents a thorough introduction to the basics of fractional calculus and guides the reader directly to the current state-of-the-art physical interpretation. It is also devoted to the application of fractional calculus on physical problems, in the subjects of classical mechanics, friction, damping, oscillations, group theory, quantum mechanics, nuclear physics, and hadron spectroscopy up to quantum field theory.
Solved Exercises In Fractional Calculus
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Author : Edmundo Capelas de Oliveira
language : en
Publisher: Springer Nature
Release Date : 2025-04-28
Solved Exercises In Fractional Calculus written by Edmundo Capelas de Oliveira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-28 with Technology & Engineering categories.
This textbook provides a comprehensive exploration of special functions and fractional calculus, offering a structured approach through solved and proposed exercises. Covering key mathematical concepts such as Mittag-Leffler functions, Kilbas-Saigo functions, and the Erdélyi-Kober fractional integral, it balances theoretical insights with practical applications. Appendices introduce Barnes G-functions and demonstrate the use of Mathematica for fractional calculus, expanding the book’s accessibility. With an updated index and extensive references, this edition serves as a valuable resource for researchers, graduate students, and professionals in applied mathematics and related fields.
Discrete Mathematics And Mathematical Modelling In The Digital Era
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Author : P. Balasubramaniam
language : en
Publisher: Springer Nature
Release Date : 2024-08-31
Discrete Mathematics And Mathematical Modelling In The Digital Era written by P. Balasubramaniam and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-31 with Mathematics categories.
This book features carefully selected research papers presented during the 9th International Conference on Discrete Mathematics and Mathematical Modelling in the Digital Era (ICDMMMDE-2023). The conference, organised at the Department of Mathematics, The Gandhigram Rural Institute in Gandhigram, Tamil Nadu, India, took place from 23–25 March 2023. Serving as a dynamic platform, the event attracted emerging researchers, mathematicians, industrialists, scientists, and engineers from across the globe, fostering discussions on pertinent research topics. This volume showcases noteworthy contributions from esteemed researchers within the realm of discrete mathematics and mathematical modeling, meticulously subjected to a rigorous peer-review process for publication. The included papers delve into diverse subjects, including controllability, image processing, topology, graph theory, fuzzy delay differential equations, analysis, queuing theory, and applications in networks and biology. Theculmination of these contributions forms a comprehensive and authoritative resource for scholars and professionals alike.
Three Plays Of Maureen Hunter
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Author : Hunter, Maureen
language : en
Publisher: OIBooks-Libros
Release Date : 2003
Three Plays Of Maureen Hunter written by Hunter, Maureen and has been published by OIBooks-Libros this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Drama categories.
Book is clean and tight. No writing in text. Like New
Fractional Thermoelasticity
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Author : Yuriy Povstenko
language : en
Publisher: Springer Nature
Release Date : 2024-08-25
Fractional Thermoelasticity written by Yuriy Povstenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-25 with Science categories.
This new edition offers expanded coverage of fractional calculus, including Riemann–Liouville fractional integrals, Riemann–Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler and Wright functions. Additionally, it provides a comprehensive examination of fractional heat conduction and related theories of thermoelasticity. Readers will gain insights into the concepts of time and space nonlocality and their impact on the generalizations of Fourier's law in thermoelasticity. This edition presents a detailed formulation of the problem of heat conduction in different domains and the associated thermal stresses, covering topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem. New insights into time-harmonic heat impact on the boundary have also been added. Cracks in the framework of fractional thermoelasticity are also considered.