Fractional Calculus With Applications In Mechanics: Vibrations And Diffusion Processes

The book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces which are presented. The central part of a book contains various applications in classical mechanics including such field as: viscoelasticity, heat conduction, wave propagation and variational principles of Hamilton’s type. In application the mathematical rigor will be observed.

There is no single book on fractional calculus that presents application of fractional derivatives of real order on problems of mechanics. Recently, there are a large number of publications on the application of fractional calculus. The authors' intention is to formulate the problems arising in mechanics in both classical and distributional setting.

Teodor 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.