{"product_id":"fractional-calculus-with-applications-in-mechanics-vibrations-and-diffusion-processes-hardback-9781848214170","title":"Fractional Calculus with Applications in Mechanics; Vibrations and Diffusion Processes (Hardback) 9781848214170","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFractional Calculus with Applications in Mechanics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eVibrations and Diffusion Processes\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eTeodor M. Atanackovic (Author), Stevan Pilipovic (Author), Bogoljub Stankovic (Author), Dusan Zorica (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781848214170, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 January 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e336 pages\u003cbr\u003e24.1 x 16.3 x 2.5 cm, 0.64 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e“The book will be useful to researchers and students looking for applications of fractional calculus in applied mechanics and engineering.”  (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 1 November 2014)\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface ix\u003cbr\u003e\u003cbr\u003e\u003cb\u003ePart 1. Mathematical Preliminaries, Definitions and Properties of Fractional Integrals and Derivatives 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 1. Mathematical Preliminaries 3\u003cbr\u003e\u003cbr\u003eChapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives 17\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2. Mechanical Systems 49\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 3. Restrictions Following from the Thermodynamics for Fractional Derivative Models of a Viscoelastic Body 51\u003c\/p\u003e \u003cp\u003eChapter 4. Vibrations with Fractional Dissipation 83\u003c\/p\u003e \u003cp\u003eChapter 5. Lateral Vibrations and Stability of Viscoelastic Rods 123\u003c\/p\u003e \u003cp\u003eChapter 6. Fractional Diffusion-Wave Equations 185\u003c\/p\u003e \u003cp\u003eChapter 7. Fractional Heat Conduction Equations 257\u003cbr\u003e\u003cbr\u003eBibliography 289\u003cbr\u003e\u003cbr\u003eIndex 311\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52449378959640,"sku":"9781848214170","price":128.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848214170.jpg?v=1785197357","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fractional-calculus-with-applications-in-mechanics-vibrations-and-diffusion-processes-hardback-9781848214170","provider":"Freshly Printed Books","version":"1.0","type":"link"}