FRACTIONAL CALCULUS AND WAVES IN LINEAR VISCOELASTICITY

FRACTIONAL CALCULUS AND WAVES IN LINEAR VISCOELASTICITY

London 2010 | Francesco Mainardi
The book "Fractional Calculus and Waves in Linear Viscoelasticity" by Francesco Mainardi, published by Imperial College Press in 2010, is a comprehensive treatise on the application of fractional calculus in the study of linear viscoelasticity. The book is structured into chapters that explore the mathematical foundations of fractional calculus, its connection to viscoelastic materials, and its use in modeling wave propagation. It provides a detailed discussion of fractional derivatives, their properties, and their application in the analysis of viscoelastic systems. The text also includes a variety of examples and applications, illustrating how fractional calculus can be used to describe complex material behaviors that are not easily captured by classical integer-order models. The book contains a number of errata and corrections, which have been noted in the text. These include typographical errors, misprints, and omissions that have been identified by readers and corrected for the next edition. The corrections involve changes to equations, references, and the text itself, ensuring the accuracy and clarity of the content. The book also includes a detailed bibliography and an index, which are essential for researchers and students in the field of fractional calculus and viscoelasticity. The book is an important resource for researchers and students interested in the application of fractional calculus in the study of viscoelastic materials and wave propagation. It provides a thorough understanding of the subject, making it a valuable addition to the literature in this area.The book "Fractional Calculus and Waves in Linear Viscoelasticity" by Francesco Mainardi, published by Imperial College Press in 2010, is a comprehensive treatise on the application of fractional calculus in the study of linear viscoelasticity. The book is structured into chapters that explore the mathematical foundations of fractional calculus, its connection to viscoelastic materials, and its use in modeling wave propagation. It provides a detailed discussion of fractional derivatives, their properties, and their application in the analysis of viscoelastic systems. The text also includes a variety of examples and applications, illustrating how fractional calculus can be used to describe complex material behaviors that are not easily captured by classical integer-order models. The book contains a number of errata and corrections, which have been noted in the text. These include typographical errors, misprints, and omissions that have been identified by readers and corrected for the next edition. The corrections involve changes to equations, references, and the text itself, ensuring the accuracy and clarity of the content. The book also includes a detailed bibliography and an index, which are essential for researchers and students in the field of fractional calculus and viscoelasticity. The book is an important resource for researchers and students interested in the application of fractional calculus in the study of viscoelastic materials and wave propagation. It provides a thorough understanding of the subject, making it a valuable addition to the literature in this area.
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