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Physics of Fractal Operators (Institute for Nonlinear Science) by Bruce West, Mauro Bologna, Paolo Grigolini is a nonfiction available to read on EtoBox.

What is Physics of Fractal Operators (Institute for Nonlinear Science) about?

This text describes how fractal phenomena, both deterministic and random, change over time, using the fractional calculus. The intent is to identify those characteristics of complex physical phenomena that require fractional derivatives or fractional integrals to describe how the process changes over time. The discussion emphasizes the properties of physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. In many cases, classic analytic function theory cannot serve for modeling complex phenomena; "Physics of Fractal Operators" shows how classes of less familiar functions, such as fractals, can serve as useful models in such cases. Because fractal functions, such as the Weierstrass function (long known not to have a derivative), do in fact have fractional derivatives, they can be cast as solutions to fractional differential equations. The traditional techniques for solving differential equations, including Fourier and Laplace transforms as well as Green's functions, can be generalized to fractional derivatives. Physics of Fractal Operators addresses a general strategy for und

Who reads Physics of Fractal Operators (Institute for Nonlinear Science)?

Author

Bruce West, Mauro Bologna, Paolo Grigolini

Publisher

Springer New York

Published

2003

Language

EN

ISBN

9780387955544

Category

nonfiction

Subjects

Science, Mathematics, Physics