Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

Author:   Yuriy Povstenko
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2015
ISBN:  

9783319179537


Pages:   460
Publication Date:   21 July 2015
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Linear Fractional Diffusion-Wave Equation for Scientists and Engineers


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Author:   Yuriy Povstenko
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2015
Dimensions:   Width: 15.50cm , Height: 2.70cm , Length: 23.50cm
Weight:   8.336kg
ISBN:  

9783319179537


ISBN 10:   3319179535
Pages:   460
Publication Date:   21 July 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1.Introduction.- 2.Mathematical Preliminaries.- 3.Physical Backgrounds.- 4.Equations with one Space Variable in Cartesian Coordinates.- 5.Equations with one Space Variable in Polar Coordinates.- 6.Equations with one Space Variable in Spherical Coordinates.- 7.Equations with two Space Variables in Cartesian Coordinates.- 8.Equations in Polar Coordinates.- 9.Axisymmetric equations in Cylindrical Coordinates.- 10.Equations with three Space Variables in Cartesian Coordinates.- 11.Equations with three space Variables in Cylindrical Coordinates.- 12.Equations with three space Variables in Spherical Coordinates.- Conclusions.- Appendix: Integrals.- References.

Reviews

This book can be seen as a handbook of the exact results for the time-fractional diffusion-wave equation, largely based on the author's investigations on this topic. ... This book can be useful as a reference handbook for people interested in applications of fractional diffusion-wave equations in different fields of science ... . I really appreciate the citations at the beginning of each section. (Roberto Garra, Mathematical Reviews, April, 2016) The book is written in the form close to hand-book type, i.e., the material is carefully collected, clearly presented and almost completely covers the aim of the subject. This makes the book basically self-contained and useful for a wide range of readers, including experts in mathematics and physics, as well as engineers with a sufficient level of mathematical education. (Sergei V. Rogosin, zbMATH 1331.35004, 2016)


This book can be seen as a handbook of the exact results for the time-fractional diffusion-wave equation, largely based on the author's investigations on this topic. ... This book can be useful as a reference handbook for people interested in applications of fractional diffusion-wave equations in different fields of science ... . I really appreciate the citations at the beginning of each section. (Roberto Garra, Mathematical Reviews, April, 2016) The book is written in the form close to hand-book type, i.e., the material is carefully collected, clearly presented and almost completely covers the aim of the subject. This makes the book basically self-contained and useful for a wide range of readers, including experts in mathematics and physics, as well as engineers with a sufficient level of mathematical education. (Sergei V. Rogosin, zbMATH 1331.35004, 2016)


Author Information

Yuriy Povstenko received an M.S. degree in Mechanics from Lviv State University, Ukraine, in 1971; a Candidate degree (Ph.D.) in Physics and Mathematics from the Institute of Mathematics, Ukrainian Academy of Sciences, Lviv, Ukraine, in 1977; and his Doctor degree in Physics and Mathematics from Saint Petersburg Technical University, Russia, in 1993. He is currently a Professor at Institute of Mathematics and Computer Science, Jan Dlugosz University in Czestochowa, Poland. His research interests include fractional calculus, generalized thermoelasticity, nonlocal elasticity, surface science and imperfections in solids. He is the author of 5 books and more than 200 scientific papers.

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