Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative
We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method.
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/11653 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/11653 |
| Summary: | We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method. |
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