Green's theorem for generalized fractional derivatives

被引：19

作者：

Odzijewicz, Tatiana ^{[1
]}

Malinowska, Agnieszka B. ^{[2
]}

Torres, Delfim F. M. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal

[2] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2013年 / 16卷 / 01期

关键词：

fractional calculus; generalized operators; Green's theorem; CALCULUS;

D O I：

10.2478/s13540-013-0005-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：64 / 75

页数：12

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