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Browsing by Author "Yang, Xiao Jun"

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    Article
    Citation Count: Yang, X.J., Tenreiro Machado, J.A., Baleanu, D. (2017). Anomalous diffusion models with general fractional derivatives within the kernels of the extended mittag-leffler type functions. Romanian Reports In Physics, 69(4).
    Anomalous diffusion models with general fractional derivatives within the kernels of the extended mittag-leffler type functions
    (Editura Academiei Romane, 2017) Yang, Xiao Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru
    This paper addresses the new general fractional derivatives (GFDs) involving the kernels of the extended Mittag-Leffler type functions (MLFs). With the aid of the GFDs in the MLF kernels, the mathematical models for the anomalous diffusion of fractional order are analyzed and discussed. The proposed formulations are also used to describe complex phenomena that occur in heat transfer.
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    Article
    Citation Count: Yang, Xiao Jun...et al. (2014). "Local fractional variational iteration method for diffusion and wave equations on Cantor sets", Romanian Journal of Physics, Vol. 59, No. 1-2, pp. 36-48.
    Local fractional variational iteration method for diffusion and wave equations on Cantor sets
    (2014) Yang, Xiao Jun; Baleanu, Dumitru; Khan, Yasir; Mohyud-Din, Syed Tauseef; 56389
    In this work, the local fractional variational iteration method is employed to handle the sub-diffusion and wave equations and the analytical solutions are obtained. The present method is efficient and implicit to investigate the differential equations with the local fractional derivatives.