Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 293, Issue -, Pages 4-13Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2014.07.019
Keywords
Fractional derivative; Riesz potential; Fractional calculus
Funding
- National Funds through the Foundation for Science and Technology of Portugal [PEst-OE/EEI/UI0066/2011]
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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 Grunwald-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. (C) 2014 Elsevier Inc. All rights reserved.
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