Stevan Pilipovic's Books

Fractional Calculus with Applications in Mechanics

Wave Propagation, Impact and Variational Principles

By: Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic,Dusan Zorica

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Fractional Calculus with Applications in Mechanics

Wave Propagation, Impact and Variational Principles

By: Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic,Dusan Zorica

The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and variational principles of a Hamiltonian type. The books will be useful for graduate students in mechanics and applied mathematics, as well as for researchers in these fields. Part 1 of this book presents an introduction to fractional calculus. Chapter 1 briefly gives definitions and notions that are needed later in the book and Chapter 2 presents definitions and some of the properties of fractional integrals and derivatives. Part 2 is the central part of the book. Chapter 3 presents the analysis of waves in fractional viscoelastic materials in infinite and finite spatial domains. In Chapter 4, the problem of oscillations of a translatory moving rigid body, attached to a heavy, or light viscoelastic rod of fractional order type, is studied in detail. In Chapter 5, the authors analyze a specific engineering problem of the impact of a viscoelastic rod against a rigid wall. Finally, in Chapter 6, some results for the optimization of a functional containing fractional derivatives of constant and variable order are presented.

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Page Count

437

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118909135

ISBN 13

9781118909133

Asymptotic Behavior of Generalized Functions

By: Stevan Pilipovic,Bogoljub Stankovic,Jasson Vindas

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Asymptotic Behavior of Generalized Functions

By: Stevan Pilipovic,Bogoljub Stankovic,Jasson Vindas

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach OCo of Estrada, Kanwal and Vindas OCo is related to moment asymptotic expansions of generalized functions and the Ces''aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting.

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Page Count

309

Publisher

World Scientific

Published Date

ISBN 10

9814366854

ISBN 13

9789814366854

Boundary Values And Convolution In Ultradistribution Spaces

By: Stevan Pilipovic,Richard D Carmichael,Andrzej Kaminski

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Boundary Values And Convolution In Ultradistribution Spaces

By: Stevan Pilipovic,Richard D Carmichael,Andrzej Kaminski

This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructed and analyzed. The general theory of the representation of ultradistributions as boundary values of analytic functions is obtained and the recovery of the analytic functions as Cauchy, Fourier-Laplace, and Poisson integrals associated with the boundary value is proved.Ultradistributions are useful in applications in quantum field theory, partial differential equations, convolution equations, harmonic analysis, pseudo-differential theory, time-frequency analysis, and other areas of analysis. Thus this book is of interest to users of ultradistributions in applications as well as to research mathematicians in areas of analysis.

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Page Count

230

Publisher

World Scientific

Published Date

ISBN 10

9814475203

ISBN 13

9789814475204

Fractional Calculus with Applications in Mechanics

Wave Propagation, Impact and Variational Principles

By: Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic,Dusan Zorica

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Fractional Calculus with Applications in Mechanics

Wave Propagation, Impact and Variational Principles

By: Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic,Dusan Zorica

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

437

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118909135

ISBN 13

9781118909133

Fractional Calculus with Applications in Mechanics

Wave Propagation, Impact and Variational Principles

By: Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic,Dusan Zorica

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Fractional Calculus with Applications in Mechanics

Wave Propagation, Impact and Variational Principles

By: Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic,Dusan Zorica

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N/A

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Solve jigsaw puzzle

Age

Page Count

437

Publisher

John Wiley & Sons

Published Date

ISBN 10

1848216793

ISBN 13

9781848216792

Boundary Values And Convolution In Ultradistribution Spaces

By: Stevan Pilipovic,Richard D Carmichael,Andrzej Kaminski

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Boundary Values And Convolution In Ultradistribution Spaces

By: Stevan Pilipovic,Richard D Carmichael,Andrzej Kaminski

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N/A

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Solve jigsaw puzzle

Age

Page Count

230

Publisher

World Scientific

Published Date

ISBN 10

9814475203

ISBN 13

9789814475204

Asymptotic Behavior of Generalized Functions

By: Stevan Pilipovi?,Bogoljub Stankovi?,Jasson Vindas

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Asymptotic Behavior of Generalized Functions

By: Stevan Pilipovi?,Bogoljub Stankovi?,Jasson Vindas

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach ? of Estrada, Kanwal and Vindas ? is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting.

Average ratings

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Write a review

Solve jigsaw puzzle

Age

Page Count

309

Publisher

World Scientific

Published Date

ISBN 10

9814366846

ISBN 13

9789814366847

Book's by Stevan Pilipovic

Fractional Calculus with Applications in Mechanics

Fractional Calculus with Applications in Mechanics

Asymptotic Behavior of Generalized Functions

Asymptotic Behavior of Generalized Functions

Boundary Values And Convolution In Ultradistribution Spaces

Boundary Values And Convolution In Ultradistribution Spaces

Fractional Calculus with Applications in Mechanics

Fractional Calculus with Applications in Mechanics

Fractional Calculus with Applications in Mechanics

Fractional Calculus with Applications in Mechanics

Boundary Values And Convolution In Ultradistribution Spaces

Boundary Values And Convolution In Ultradistribution Spaces

Asymptotic Behavior of Generalized Functions

Asymptotic Behavior of Generalized Functions

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