Description
Springer Physics Of Fractal Operators 2003 Edition by Bruce West Mauro Bologna Paolo Grigolini
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. Table of contents : 1. Non-differentiable Processes 2. Failure of Traditional Models. 3. Fractional Dynamics. 4. Fractional Fourier Transforms. 5. Fractional Laplace Transforms. 6. Fractional Randomness. 7. Fractional Rheology. 8. Fractional Stochastics. 9. The Ant in the Gurge Metaphor. 10. Appendices