{"product_id":"fractional-calculus-with-applications-in-mechanics-wave-propagation-impact-and-variational-principles-hardback-9781848216792","title":"Fractional Calculus with Applications in Mechanics; Wave Propagation, Impact and Variational Principles (Hardback) 9781848216792","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\"\u003eWave Propagation, Impact and Variational Principles\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\"\u003e9781848216792, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 31 January 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e432 pages\u003cbr\u003e24.1 x 16.3 x 2.9 cm, 0.785 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThe books \u003ci\u003eFractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes\u003c\/i\u003e and \u003ci\u003eFractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles\u003c\/i\u003e contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and variational principles of a Hamiltonian type. The books will be useful for graduate students in mechanics and applied mathematics, as well as for researchers in these fields.\u003c\/p\u003e \u003cp\u003ePart 1 of this book presents an introduction to fractional calculus. Chapter 1 briefly gives definitions and notions that are needed later in the book and Chapter 2 presents definitions and some of the properties of fractional integrals and derivatives.\u003c\/p\u003e \u003cp\u003ePart 2 is the central part of the book. Chapter 3 presents the analysis of waves in fractional viscoelastic materials in infinite and finite spatial domains. In Chapter 4, the problem of oscillations of a translatory moving rigid body, attached to a heavy, or light viscoelastic rod of fractional order type, is studied in detail. In Chapter 5, the authors analyze a specific engineering problem of the impact of a viscoelastic rod against a rigid wall. Finally, in Chapter 6, some results for the optimization of a functional containing fractional derivatives of constant and variable order are presented.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xi\u003cbr\u003e\u003cbr\u003ePart 1. Mathematical Preliminaries, Definitions and Properties of Fractional Integrals and Derivatives 1\u003c\/p\u003e \u003cp\u003eChapter 1. Mathematical Preliminaries 3\u003c\/p\u003e \u003cp\u003eChapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives 17\u003c\/p\u003e \u003cp\u003ePart 2. Mechanical Systems 49\u003c\/p\u003e \u003cp\u003eChapter 3. Waves in Viscoelastic Materials of Fractional-Order Type 51\u003c\/p\u003e \u003cp\u003eChapter 4. Forced Oscillations of a System: Viscoelastic Rod and Body 149\u003c\/p\u003e \u003cp\u003eChapter 5. Impact of Viscoelastic Body Against the Rigid Wall 243\u003c\/p\u003e \u003cp\u003eChapter 6. Variational Problems with Fractional Derivatives 279\u003cbr\u003e\u003cbr\u003eBibliography 379\u003cbr\u003e\u003cbr\u003eIndex 403\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\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":52449387938072,"sku":"9781848216792","price":131.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848216792.jpg?v=1785197655","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fractional-calculus-with-applications-in-mechanics-wave-propagation-impact-and-variational-principles-hardback-9781848216792","provider":"Freshly Printed Books","version":"1.0","type":"link"}