Concepedia

Fractional derivative viscoelastic models based on L2-1σ formula: modelling and numerical application

Pan Ding, Riqing Xu, Lixing Wang, Zhiran Gao, X.R. Ge, Minjie Wen

Computers and Geotechnics · 2025 · 23 citations · 37 references

DOI

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References

37

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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A new difference scheme for the time fractional diffusion equation

Anatoly A. Alikhanov · Journal of Computational Physics · 2014 · 848 citations · Full text

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On Riemann and Caputo fractional differences

Thabet Abdeljawad · Computers & Mathematics with Applications · 2011 · 696 citations

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

Guang‐hua Gao, Zhi‐zhong Sun, Hongwei Zhang · Journal of Computational Physics · 2013 · 611 citations

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Characterization of Models for Time-Dependent Behavior of Soils

Morten Liingaard, Anders Hust Augustesen, Poul V. Lade · International Journal of Geomechanics · 2004 · 200 citations

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