{"product_id":"fractional-calculus-with-applications-in-teodor-m-atanackovic-9781848216792","title":"Fractional Calculus with Applications in Mechanics","description":"\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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1848216793\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781848216792\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley-Iste\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/17\/2014\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 432\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.70lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.20h x 6.20w x 1.10d","brand":"Teodor M. Atanackovic","offers":[{"title":"Hardcover","offer_id":48153854935295,"sku":"9781848216792","price":209.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_e4c659ab-2ee5-4c37-94da-b37ff6fd433e.jpg?v=1770786284","url":"https:\/\/www.whiterainbookhouse.com\/products\/fractional-calculus-with-applications-in-teodor-m-atanackovic-9781848216792","provider":"WR Book House","version":"1.0","type":"link"}