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Please use this identifier to cite or link to this item: http://hdl.handle.net/10362/2588

Título: Riesz potential operators and inverses via fractional centred derivatives
Autor: Ortigueira, M.D.
Issue Date: May-2006
Editora: Hindawi Publishing Corporation
Resumo: Fractional centred differences and derivatives definitions are proposed, generalizing to real orders the existing ones valid for even and odd positive integer orders. For each one, suitable integral formulations are obtained. The computations of the involved integrals lead to new generalizations of the Cauchy integral derivative. To compute this integral, a special two-straight-line path was used. With this the referred integrals lead to the wellknown Riesz potential operators and their inverses that emerge as true fractional centred derivatives, but that can be computed through summations similar to the well-known Gr¨unwald-Letnikov derivatives.
Descrição: International Journal of Mathematics and Mathematical Sciences, Vol.2006
URI: http://hdl.handle.net/10362/2588
Appears in Collections:FCT: DEE - Artigos em revista internacional com arbitragem científica

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