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  1. 1 Li C.

  2. 1 Zeng F.

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Numerical approach to the Caputo derivative of the unknown function

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Zeng F., Li C.
Open Physics
|
2013
|
vol. 11
|
issue 10
1433-1439
EN
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.
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