Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1272

 Title: A Fractional Analog of the Duhamel Principle Authors: Umarov, SabirSaydamatov, Erkin Keywords: Duhamel's PrinciplePseudo-Differential EquationsCauchy ProblemInhomogeneous EquationTime-Fractional Equation35CXX26A3335S10 Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 1, (2006), 57p-70p Abstract: The well known Duhamel principle allows to reduce the Cauchy problem for linear inhomogeneous partial differential equations to the Cauchy problem for corresponding homogeneous equations. In the paper one of the possible generalizations of the classical Duhamel principle to the time-fractional pseudo-differential equations is established. Description: Mathematics Subject Classification: 35CXX, 26A33, 35S10 URI: http://hdl.handle.net/10525/1272 ISSN: 1311-0454 Appears in Collections: 2006

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