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.
|Number of pages||10|
|Journal||Journal of Computational Physics|
|Publication status||Published - Jul 2015|
- Fractional calculus
- Fractional derivative
- Riesz potential