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- W2923505959 endingPage "59" @default.
- W2923505959 startingPage "27" @default.
- W2923505959 abstract "Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other variables dependent order have been successfully applied to investigate time and/or space dependent dynamics. This study aims to provide a survey of the recent relevant literature and findings in primary definitions, models, numerical methods and their applications. This review first offers an overview over the existing definitions proposed from different physical and application backgrounds, and then reviews several widely used numerical schemes in simulation. Moreover, as a powerful mathematical tool, the VO-FDE models have been remarkably acknowledged as an alternative and precise approach in effectively describing real-world phenomena. Hereby, we also make a brief summary on different physical models and typical applications. This review is expected to help the readers for the selection of appropriate definition, model and numerical method to solve specific physical and engineering problems." @default.
- W2923505959 created "2019-04-01" @default.
- W2923505959 creator A5060741316 @default.
- W2923505959 creator A5064222660 @default.
- W2923505959 creator A5065090290 @default.
- W2923505959 creator A5065697263 @default.
- W2923505959 date "2019-02-01" @default.
- W2923505959 modified "2023-10-13" @default.
- W2923505959 title "A Review on Variable-Order Fractional Differential Equations: Mathematical Foundations, Physical Models, Numerical Methods and Applications" @default.
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