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Title: Fractional Derivatives in Spaces of Generalized Functions
Authors: Stojanović, Mirjana
Keywords: Fractional Derivatives
Spaces of Generalized Functions
Fractional Derivatives of Discontinuous Function
Analytical Continuation
Issue Date: 2011
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 14, No 1, (2011), 125p-137p
Abstract: We generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of distributions.
Description: MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo
ISSN: 1311-0454
Appears in Collections:2011

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