The incremental ratio based causal Fractional Calculus

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Abstract

The generalized incremental ratio fractional derivative is revised and its main properties deduced. It is shown that in the case of analytic functions, it enjoys some interesting properties like: linearity and causality and has a semi-group structure. Some simple examples are presented. The enlargement of the set of functions for which the group properties of the fractional derivative are valid is done. With this, it is shown that some well-known results are valid in a more general set-up. Some examples are presented.
Original languageUnknown
Pages (from-to)9 pages
JournalInternational Journal of Bifurcation and Chaos
Volume22
Issue number4
DOIs
Publication statusPublished - 1 Apr 2012

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