| Description |
1 online resource (vii, 463 pages) : illustrations |
| Contents |
Chapter I. An Introduction to Fractional Calculus Chapter II. Fractional Time Evolution Chapter III. Fractional Powers of Infinitesimal Generators of Semigroups Chapter IV. Fractional Differences, Derivatives and Fractal Time Series Chapter V. Fractional Kinetics of Hamiltonian Chaotic Systems Chapter VI. Polymer Science Applications of Path-Integration, Integral Equations, and Fractional Calculus Chapter VII. Applications to Problems in Polymer Physics and Rheology Chapter VIII. Applications of Fractional Calculus Techniques to Problems in Biophysics Chapter IX. Fractional Calculus and Regular Variation in Thermodynamics |
| Summary |
Nine independent treatments that have been only lightly edited to retain the diverse styles and levels of formalization in the different areas of application. A unifying theme is that fractional derivatives arise as the infinitesimal generators of a class of translation- invariant convolution semigroups, which appear universally as attractors for coarse graining procedures or scale change, and are parametrized by a number in the unit interval corresponding to the order of the fractional derivative. After an introduction to fractional calculus, the topics include fractional time evolution, the fractional kinetics of Hamiltonian chaotic systems, and applications to problems in polymer physics and rheology |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Fractional calculus.
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Mathematical physics.
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SCIENCE -- Physics -- Mathematical & Computational.
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Fractional calculus
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Mathematical physics
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Ableitung gebrochener Ordnung
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Aufsatzsammlung
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Integral gebrochener Ordnung
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Mathematische Physik
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| Form |
Electronic book
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| Author |
Hilfer, Rudolf
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| ISBN |
9789812817747 |
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9812817743 |
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