{"product_id":"fractional-calculus-with-applications-in-mechanics-wave-propagation-impact-and-variational-principles-9781848216792","title":"Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles","description":"\u003cp\u003e • Author(s): Teodor M. Atanackovic\u003cbr\u003e • Publisher: Wiley-Iste\u003cbr\u003e • Publisher Imprint: Wiley-Iste\u003cbr\u003e • BISAC: Numerical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\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","brand":"Wiley-Iste","offers":[{"title":"Hardcover","offer_id":45201848008855,"sku":"9781848216792","price":12856.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781848216792.webp?v=1769208081","url":"https:\/\/atlanticbooks.com\/products\/fractional-calculus-with-applications-in-mechanics-wave-propagation-impact-and-variational-principles-9781848216792","provider":"Atlantic Books","version":"1.0","type":"link"}