Anomalous Diffusion Models With General Fractional Derivatives Within the Kernels of the Extended Mittag-Leffler Type Functions
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Date
2017
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Editura Acad Romane
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Abstract
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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Keywords
General Fractional Derivative, Mittag-Leffler-Function, Anomalous Diffusion, Laplace Transform
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Citation
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).
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Q2
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Q2
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Volume
69
Issue
4
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