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Physics of Fractal Operators - West, Bruce, and Bologna, Mauro, and Grigolini, Paolo
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This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

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Physics of Fractal Operators 2011, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441930545

Paperback

Physics of Fractal Operators 2003, Springer, New York, NY

ISBN-13: 9780387955544

2003 edition

Hardcover