What is a fractional derivative? (English) Zbl 1349.26016
J. Comput. Phys. 293, 4-13 (2015); correction ibid. 321, 1255–1257 (2016).
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.
MSC:
| 26A33 | Fractional derivatives and integrals |
References:
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