We present a compilation of work dedicated to the progress of a physical interpretation of fractional derivative operators and especially to a fractional extension of group theory and its application to physical problems. Within the framework of fractional calculus new concepts and strategies emerge, which make it possible, to obtain new challenging insights and surprising correlations between different branches of physics.

Just have a look in the Books section for introductory literature on fractional calculus. In the Publications sections we have listed references to articles in inverse chronological order.

FREE ACCESS: Most results of our research are accessible via arXiv.org.

NEWS:

new preprint:

A Fractional Extension of the Hilbert Matrix and Its Spectral Properties
The spectral radius ρ(α, n) of a fractional extension of the n × n
Hilbert matrix, defined through the Riemann–Liouville fractional integral, is investigated….
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new Book:

Fractional Calculus – An Introduction for Physicists  
4th revised and extended Edition
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