Fractional Calculus and Waves in Linear Viscoelasticity

Fractional Calculus and Waves in Linear Viscoelasticity

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This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types. It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography. This book is likely to be of interest to applied scientists and engineers.Hibbeler, R.C. (1997). Mechanics of Materials, Third Edition, Princeton- Hall, Upper Saddle River, NJ. Hilfer, R. (1995a). Exact solutions for a class of fractal time random walks, Fractals 3, 211a€“216. ... Fractional derivatives in static and dynamic scaling, in B. Dubrulle, F. Graner and D. Sornette (Editors), Scale Invariance andanbsp;...

Title:Fractional Calculus and Waves in Linear Viscoelasticity
Author: Francesco Mainardi
Publisher:World Scientific - 2010

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