ORCID Profile
0000-0003-4507-1278
Current Organisation
Shandong University
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Publisher: Springer Science and Business Media LLC
Date: 05-06-2019
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2017
DOI: 10.1137/16M1076083
Publisher: Elsevier BV
Date: 11-2017
Publisher: Wiley
Date: 24-04-2015
Publisher: Springer Science and Business Media LLC
Date: 30-06-2012
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2015
DOI: 10.1137/141001299
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2013
DOI: 10.1137/130910865
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2016
DOI: 10.1137/16M1070323
Publisher: Elsevier BV
Date: 03-2017
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2015
DOI: 10.1137/14096390X
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2015
DOI: 10.1137/140988218
Publisher: Informa UK Limited
Date: 13-08-2014
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2018
DOI: 10.1137/18M1168169
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2019
DOI: 10.1137/18M1230153
Publisher: Elsevier BV
Date: 10-2019
Publisher: Elsevier BV
Date: 11-2018
Publisher: No publisher found
Date: 2016
Publisher: Elsevier BV
Date: 02-2019
Publisher: Elsevier BV
Date: 08-2014
Publisher: World Scientific Pub Co Pte Ltd
Date: 04-2012
DOI: 10.1142/S0218127412300145
Abstract: In this review paper, the finite difference methods (FDMs) for the fractional differential equations are displayed. The considered equations mainly include the fractional kinetic equations of diffusion or dispersion with time, space and time-space derivatives. In some way, these numerical methods have similar form as the case for classical equations, some of which can be seen as the generalizations of the FDMs for the typical differential equations. And the classical tools, such as the von Neumann analysis method, the energy method and the Fourier method are extended to numerical methods for fractional differential equations accordingly. At the same time, the techniques for improving the accuracy and reducing the computation and storage are also introduced.
Publisher: Elsevier BV
Date: 12-2017
Publisher: Informa UK Limited
Date: 02-2013
Publisher: The Royal Society
Date: 13-05-2013
Abstract: The equivalent system for a multiple-rational-order (MRO) fractional differential system is studied, where the fractional derivative is in the sense of Caputo or Riemann–Liouville. With the relationship between the Caputo derivative and the generalized fractional derivative, we can change the MRO fractional differential system with a Caputo derivative into a higher-dimensional system with the same Caputo derivative order lying in (0,1). The stability of the zero solution to the original system is studied through the analysis of its equivalent system. For the Riemann–Liouville case, we transform the MRO fractional differential system into a new one with the same order lying in (0,1), where the properties of the Riemann–Liouville derivative operator and the fractional integral operator are used. The corresponding stability is also studied. Finally, several numerical ex les are provided to illustrate the derived results.
Publisher: Springer Science and Business Media LLC
Date: 12-12-2014
Publisher: Elsevier BV
Date: 05-2017
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2014
DOI: 10.1137/130934192
Publisher: Springer Science and Business Media LLC
Date: 26-04-2018
Publisher: Elsevier BV
Date: 03-2020
No related grants have been discovered for Fanhai Zeng.