Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1642

 Title: Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation Authors: Nikolova, YankaBoyadjiev, Lyubomir Keywords: Caputo Fractional DerivativeFractional Diffusion EquationLaplace TransformFractional Fourier Transform Issue Date: 2010 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 13, No 1, (2010), 57p-68p Abstract: The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for the time-space fractional diffusion equation expressed in terms of the Caputo time-fractional derivative and a generalized Riemann-Liouville space-fractional derivative. Description: Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12. URI: http://hdl.handle.net/10525/1642 ISSN: 1311-0454 Appears in Collections: 2010

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