A numerical method to solve higher-order fractional differential equations
In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of...
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| Format: | article |
| Language: | eng |
| Published: |
2018
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| Online Access: | http://hdl.handle.net/10773/15918 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/15918 |
| Summary: | In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method. |
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