Concepedia

Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: Analytical solution in bounded-domain and model comparison

Xiangnan Yu, Yong Zhang, HongGuang Sun, Chunmiao Zheng

Chaos Solitons & Fractals · 2018 · 35 citations · 33 references

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33

The random walk's guide to anomalous diffusion: a fractional dynamics approach

Ralf Metzler, J. Klafter · Physics Reports · 2000 · 8.9K citations

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New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

Dumitru Bǎleanu · DOAJ (DOAJ: Directory of Open Access Journals) · 2016 · 3.9K citations · Full text

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A new Definition of Fractional Derivative without Singular Kernel

Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations

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Finite difference/spectral approximations for the time-fractional diffusion equation

Yumin Lin, Chuanju Xu · Journal of Computational Physics · 2007 · 1.8K citations

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A new collection of real world applications of fractional calculus in science and engineering

HongGuang Sun, Yong Zhang, Dumitru Bǎleanu et al. · Communications in Nonlinear Science and Numerical Simulation · 2018 · 1.7K citations

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