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- W2074051566 abstract "Abstract If a function can be explicitly expressed, then one can easily compute its Caputo derivative by the known methods. If a function cannot be explicitly expressed but it satisfies a differential equation, how to seek Caputo derivative of such a function has not yet been investigated. In this paper, we propose a numerical algorithm for computing the Caputo derivative of a function defined by a classical (integer-order) differential equation. By the properties of Caputo derivative derived in this paper, we can change the original typical differential system into an equivalent Caputo-type differential system. Numerical examples are given to support the derived numerical method." @default.
- W2074051566 created "2016-06-24" @default.
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- W2074051566 date "2013-01-01" @default.
- W2074051566 modified "2023-10-16" @default.
- W2074051566 title "Numerical approach to the Caputo derivative of the unknown function" @default.
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- W2074051566 doi "https://doi.org/10.2478/s11534-013-0214-4" @default.
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