Fractional Calculus with Applications in Mechanics : Vibrations and Diffusion Processes
ISTE Ltd and John Wiley & Sons Inc
Fractional Calculus with Applications in MechanicsVibrations and Diffusion Processes\nAuthor(s): Teodor M. Atanackovic, Stevan Pilipovic, Bogoljub Stankovic, Dusan Zorica\nFormat: Hardback\nPublisher: ISTE Ltd and John Wiley & Sons Inc, United Kingdom\nImprint: ISTE Ltd and John Wiley & Sons Inc\nISBN-13: 9781848214170, 978-1848214170\nSynopsis\nThis 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 Hamiltontype 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 solut.
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