|   |   | Preface |   |   | 
| Ch. I |   | An Introduction to Fractional Calculus by P. L. Butzer and U. Westphal |   | 1 | 
| Ch. II |   | Fractional Time Evolution by R. Hilfer |   | 87 | 
| Ch. III |   | Fractional Powers of Infinitesimal Generators of Semigroups by U. Westphal |   | 131 | 
| Ch. IV |   | Fractional Differences, Derivatives and Fractal Time Series by B. J. West and P. Grigolini |   | 171 | 
| Ch. V |   | Fractional Kinetics of Hamiltonian Chaotic Systems by G. M. Zaslavsky |   | 203 | 
| Ch. VI |   | Polymer Science Applications of Path-Integration, Integral Equations, and Fractional Calculus by J. F. Douglas |   | 241 | 
| Ch. VII |   | Applications to Problems in Polymer Physics and Rheology by H. Schiessel and Chr. Friedrich and A. Blumen |   | 331 | 
| Ch. VIII |   | Applications of Fractional Calculus Techniques to Problems in Biophysics by T. F. Nonnenmacher and R. Metzler |   | 377 | 
| Ch. IX |   | Fractional Calculus and Regular Variation in Thermodynamics by R. Hilfer |   | 429 |