Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1686

 Title: Fractional Derivatives in Spaces of Generalized Functions Authors: Stojanović, Mirjana Keywords: Fractional DerivativesSpaces of Generalized FunctionsFractional Derivatives of Discontinuous FunctionAnalytical 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 URI: http://hdl.handle.net/10525/1686 ISSN: 1311-0454 Appears in Collections: 2011

Files in This Item:

File Description SizeFormat