Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes

Teodor M. Atanackovic · Stevan Pilipovic · Bogoljub Stankovic · Dusan Zorica

feb. 2014 · John Wiley & Sons

Rafbók

336

Síður

Einkunnir og umsagnir eru ekki staðfestar Nánar

Um þessa rafbók

This 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.

Um höfundinn

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.

Gefa þessari rafbók einkunn.

Segðu okkur hvað þér finnst.

Upplýsingar um lestur

Snjallsímar og spjaldtölvur

Settu upp forritið Google Play Books fyrir Android og iPad/iPhone. Það samstillist sjálfkrafa við reikninginn þinn og gerir þér kleift að lesa með eða án nettengingar hvar sem þú ert.

Fartölvur og tölvur

Hægt er að hlusta á hljóðbækur sem keyptar eru í Google Play í vafranum í tölvunni.

Lesbretti og önnur tæki

Til að lesa af lesbrettum eins og Kobo-lesbrettum þarftu að hlaða niður skrá og flytja hana yfir í tækið þitt. Fylgdu nákvæmum leiðbeiningum hjálparmiðstöðvar til að flytja skrár yfir í studd lesbretti.

Tilkynna ólöglegt efni