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Browsing by Author "He, Ji-Huan"

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    Article
    Cantor-Type Cylindrical-Coordinate Method For Differential Equations With Local Fractional Derivatives
    (Elsevier Science, 2013) Baleanu, Dumitru; Srivastava, H. M.; Baleanu, Dumitru; He, Ji-Huan; 56389
    In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems. (c) 2013 Published by Elsevier B.V.
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    Article
    Transport Equations In Fractal Porous Media Within Fractional Complex Transform Method
    (Editura Academiei Romane, 2013) Baleanu, Dumitru; Baleanu, Dumitru; He, Ji-Huan; 56389
    In this paper we investigate the transport equations in fractal porous media by using the fractional complex transform method. The local fractional linear and nonlinear transport equations with local fractional time and space fractional derivatives are obtained. The proposed models adequately describe the fractal transport processes.