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What is a fractional derivative?
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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Fractional derivative Riesz potential Fractional calculus
Contexto Educativo
Citação
Editora
Elsevier