The incremental ratio based causal Fractional Calculus

Manuel Duarte Ortigueira

doi:10.1142/S0218127412500782

The incremental ratio based causal Fractional Calculus

Manuel Duarte Ortigueira

DEE2010-B2 Sistemas

Research output: Contribution to journal › Article

14 Citations (Scopus)

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 language	Unknown
Pages (from-to)	9 pages
Journal	International Journal of Bifurcation and Chaos
Volume	22
Issue number	4
DOIs	https://doi.org/10.1142/S0218127412500782
Publication status	Published - 1 Apr 2012

Cite this

Ortigueira, M. D. (2012). The incremental ratio based causal Fractional Calculus. International Journal of Bifurcation and Chaos, 22(4), 9 pages. https://doi.org/10.1142/S0218127412500782

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Access to Document

10.1142/S0218127412500782