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OverviewThis book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provide some problems formulated in the classical setting and some in the distributional setting. The solutions to these problems are presented in analytical form and these solutions are then analyzed numerically. Theorems on the existence of solutions will be presented for all examples discussed. In using various constitutive equations the restrictions following from the second law of thermodynamics will be implemented. Finally, the physical implications of obtained solutions will be discussed in detail. Full Product DetailsAuthor: Teodor M. Atanackovic , Stevan Pilipovic , Bogoljub Stankovic , Dusan ZoricaPublisher: ISTE Ltd and John Wiley & Sons Inc Imprint: ISTE Ltd and John Wiley & Sons Inc Volume: 729 Dimensions: Width: 16.30cm , Height: 2.50cm , Length: 24.10cm Weight: 0.640kg ISBN: 9781848214170ISBN 10: 1848214170 Pages: 336 Publication Date: 28 January 2014 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviews<p> The book will be useful to researchers and studentslooking for applications of fractional calculus in appliedmechanics and engineering. (Zentralblatt MATH,1 November 2014) <p> <p> The book will be useful to researchers and students looking for applications of fractional calculus in applied mechanics and engineering. (Zentralblatt MATH, 1 November 2014) <p> ?The book will be useful to researchers and students looking for applications of fractional calculus in applied mechanics and engineering.? (Zentralblatt MATH, 1 November 2014) Author InformationTeodor M. Atanackovic is Full Professor at the University of Novi Sad, Serbia. He has authored or co-authored 8 books and more than 170 articles for journals and proceedings. Stevan Pilipovic is Full Professor at the University of Novi Sad, Serbia. He has written more than 180 scientific papers in refereed international journals, and more than 35 contributions to special volumes and international conference proceedings. Bogoljub Stankovic is a retired Professor at the University of Novi Sad, Serbia. His interests include classical theory of integral transforms and operational calculus, special functions, functional analysis, generalized functions and hyperfunctions. He has authored several books and more than 200 articles for journals and proceedings. Dusan Zorica is Assistant Research Professor at the Mathematical Institute, Serbian Academy of Arts and Sciences in Belgrade, Serbia. He has authored or co-authored over 30 journal and conference papers. His current research interest is in various aspects of fractional calculus and its application to physical problems. Tab Content 6Author Website:Countries AvailableAll regions |