Variable-order particle dynamics: formulation and application to the simulation of edge dislocations
- Patnaik, Sansit; Semperlotti, Fabio
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0290
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May 2020 |
Fractional-order heat conduction models from generalized Boltzmann transport equation
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May 2020 |
Application of fractional calculus methods to viscoelastic behaviours of solid propellants
- Fang, Changqing; Shen, Xiaoyin; He, Kuai
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0291
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May 2020 |
Advanced materials modelling via fractional calculus: challenges and perspectives
- Failla, Giuseppe; Zingales, Massimiliano
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2020.0050
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May 2020 |
Thermo-poromechanics of fractal media
- Li, Jun; Ostoja-Starzewski, Martin
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0288
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May 2020 |
A novel approach to nonlinear variable-order fractional viscoelasticity
- Di Paola, M.; Alotta, G.; Burlon, A.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0296
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May 2020 |
Fractional-order nonlinear hereditariness of tendons and ligaments of the human knee
- Bologna, E.; Di Paola, M.; Dayal, K.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0294
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May 2020 |
Effect of adsorption, radioactive decay and fractal structure of matrix on solute transport in fracture
- Chugunov, Vladimir; Fomin, Sergei
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0283
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May 2020 |
Impact force and moment problems on random mass density fields with fractal and Hurst effects
- Zhang, Xian; Ostoja-Starzewski, Martin
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0591
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May 2020 |
Mathematical modelling with experimental validation of viscoelastic properties in non-Newtonian fluids
- Ionescu, C. M.; Birs, I. R.; Copot, D.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0284
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May 2020 |
Energy dissipation for hereditary and energy conservation for non-local fractional wave equations
- Zorica, Dušan; Oparnica, Ljubica
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0295
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May 2020 |
Fractional-order modelling of epoxy resin
- Tenreiro Machado, J. A.; Lopes, António M.; de Camposinhos, Rui
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0292
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May 2020 |
Generalized viscoelastic models: their fractional equations with solutions
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December 1995 |
A new collection of real world applications of fractional calculus in science and engineering
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November 2018 |
Multi-term time fractional diffusion equations and novel parameter estimation techniques for chloride ions sub-diffusion in reinforced concrete
- Chen, Ruige; Wei, Xiaoli; Liu, Fawang
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0538
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May 2020 |
Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model
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February 2006 |
Starting solutions for a viscoelastic fluid with fractional Burgers’ model in an annular pipe
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February 2010 |
Applications of variable-order fractional operators: a review
- Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 476, Issue 2234
https://doi.org/10.1098/rspa.2019.0498
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February 2020 |
On the thermodynamical restrictions in isothermal deformations of fractional Burgers model
- Atanacković, Teodor M.; Janev, Marko; Pilipović, Stevan
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2172
https://doi.org/10.1098/rsta.2019.0278
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May 2020 |
Fractional thermoelasticity problem for an infinite solid with a penny-shaped crack under prescribed heat flux across its surfaces
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May 2020 |
A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
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June 1983 |