What is a fractional derivative?
This paper discusses the concepts underlying the formulation of operators capable of being interpreted as fractional derivatives or fractional integrals. Two criteria for required by a fractional operator are formulated. The Grünwald–Letnikov, Riemann–Liouville and Caputo fractional derivatives and...
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| Format: | article |
| Language: | eng |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/10400.22/6952 |
| Country: | Portugal |
| Oai: | oai:recipp.ipp.pt:10400.22/6952 |
| Summary: | This paper discusses the concepts underlying the formulation of operators capable of being interpreted as fractional derivatives or fractional integrals. Two criteria for required by a fractional operator are formulated. The Grünwald–Letnikov, Riemann–Liouville and Caputo fractional derivatives and the Riesz potential are accessed in the light of the proposed criteria. A Leibniz rule is also obtained for the Riesz potential. |
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