Essentials of fractional calculus -- Essentials of linear viscoelasticity -- Fractional viscoelastic models -- Waves in linear viscoelastic media: dispersion and dissipation -- Waves in liner viscoelastic media: asymptotic representations -- Diffusion and wave-propagation via fractional calculus
Summary
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 resea
