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Title: Green's theorem for generalized fractional derivatives
Author: Odzijewicz, T.
Malinowska, A.B.
Torres, D.F.M.
Keywords: fractional calculus
generalized operators
Green's theorem
Issue Date: 2013
Publisher: Springer Verlag
Abstract: We study three types of generalized partial fractional order operators. An extension of Green's theorem, by considering partial fractional derivatives with more general kernels, is proved. New results are obtained, even in the particular case when the generalized operators are reduced to the standard partial fractional derivatives and fractional integrals in the sense of Riemann-Liouville or Caputo.
Peer review: yes
DOI: 10.2478/s13540-013-0005-z
ISSN: 1311-0454
Appears in Collections:CIDMA - Artigos
DMat - Artigos

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