The Fractional Quantum Derivative and the Fractional Linear Scale Invariant Systems
- Citation:
- Ortigueira, MD. 2011. The Fractional Quantum Derivative and the Fractional Linear Scale Invariant Systems. Fractional Calculus for Scientists and Engineers. 84:123–144.: Springer-Verlag
Abstract:
The normal way of introducing the notion of derivative is by means of the limit of an incremental ratio that can assume three forms, depending the used translations as we saw in Chaps. 1 and 4. On the other hand, in those derivatives the limit operation is done over a set of points uniformly spaced: a linear scale was used. Here we present an alternative derivative, that is valid only for t {\ensuremath{>}} 0 or t {\ensuremath{<}} 0 and uses an exponential scale
Notes:
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