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pro vyhledávání: '"Henry, Bruce"'
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Huang, Boris Z., Xu, Zhuang
In this work, exact solutions are derived for an integer- and fractional-order time-delayed diffusion equation with arbitrary initial conditions. The solutions are obtained using Fourier transform methods in conjunction with the known properties of d
Externí odkaz:
http://arxiv.org/abs/2406.08777
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Huang, Boris Z., Xu, Zhuang
Exact solutions are derived for a time-delay advection equation and a fractional-order time-delay advection equation with a time-delay in the spatial derivative. Solutions are obtained, for arbitrary separable initial conditions, by incorporating rec
Externí odkaz:
http://arxiv.org/abs/2406.00897
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Henry, Bruce I., Han, Daniel S., Jacobs, Byron A., Xu, Zhuang
Our study focuses on fractional order compartment models derived from underlying physical stochastic processes, providing a more physically grounded approach compared to models that use the dynamical system approach by simply replacing integer-order
Externí odkaz:
http://arxiv.org/abs/2312.05268
Publikováno v:
Scientific Reports 8, 559 (2018)
Ooids are typically spherical sediment grains characterised by concentric layers encapsulating a core. There is no universally accepted explanation for ooid genesis, though factors such as agitation, abiotic and/or microbial mineralisation and size l
Externí odkaz:
http://arxiv.org/abs/1708.04404
Explicit numerical finite difference schemes for partial differential equations are well known to be easy to implement but they are particularly problematic for solving equations whose solutions admit shocks, blowups and discontinuities. Here we pres
Externí odkaz:
http://arxiv.org/abs/1610.05417
Generalisations of the classical Euler formula to the setting of fractional calculus are discussed. Compound interest and fractional compound interest serve as motivation. Connections to fractional master equations are highlighted. An application to
Externí odkaz:
http://arxiv.org/abs/1609.04772
There has recently been considerable interest in using a nonstandard piecewise approximation to formulate fractional order differential equations as difference equations that describe the same dynamical behaviour and are more amenable to a dynamical
Externí odkaz:
http://arxiv.org/abs/1605.01815
Publikováno v:
Physica A: Statistical Mechanics and its Applications, Volume 452, 15 June 2016, Pages 86-93
Fractional-order SIR models have become increasingly popular in the literature in recent years, however unlike the standard SIR model, they often lack a derivation from an underlying stochastic process. Here we derive a fractional-order infectivity S
Externí odkaz:
http://arxiv.org/abs/1511.02545
Autor:
Toe, Wen Jun, Piwonka, Ignacio O., Angstmann, Christopher, Gao, Qiang, Tan, Hark Hoe, Jagadish, Chennupati, Henry, Bruce, Reece, Peter J.
We investigate the dynamics of high aspect ratio nanowires trapped axially in a single gradient force optical tweezers. A power spectrum analysis of the Brownian dynamics reveals a broad spectral resonance of the order of a kHz with peak properties t
Externí odkaz:
http://arxiv.org/abs/1508.03072
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