Fractional calculus of variations of several independent variables

被引：0
作者：
T. Odzijewicz
A. B. Malinowska
D. F. M. Torres
机构：
[1] University of Aveiro,CIDMA – Center for Research and Development in Mathematics and Applications, Department of Mathematics
[2] Bialystok University of Technology,Faculty of Computer Science
来源：
The European Physical Journal Special Topics | 2013年 / 222卷
关键词：
European Physical Journal Special Topic; Fractional Derivative; Fractional Calculus; Fractional Integral; Part Formula;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidimensional fractional variational problems with Lagrangians depending on generalized partial integrals and derivatives. A generalized fractional Noether’s theorem, a formulation of Dirichlet’s principle and an uniqueness result are given.
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页码：1813 / 1826
页数：13
相关论文
共 38 条
  • [1] Agrawal O.P.(2010)undefined Comput. Math. Appl. 59 1852-undefined
  • [2] Almeida R.(2010)undefined J. Math. Phys. 51 033503-undefined
  • [3] Malinowska A.B.(2009)undefined Appl. Math. Lett. 22 1816-undefined
  • [4] Torres D.F.M.(2005)undefined Physica Scripta 72 119-undefined
  • [5] Almeida R.(2013)undefined Adv. Dyn. Syst. Appl. 8 3-undefined
  • [6] Torres D.F.M.(2007)undefined J. Math. Phys. 48 033504-undefined
  • [7] Baleanu D.(2007)undefined J. Math. Anal. Appl. 334 834-undefined
  • [8] Muslih S.(2010)undefined Appl. Math. Comput. 217 1023-undefined
  • [9] Bourdin L.(2013)undefined Fract. Calc. Appl. Anal. 16 243-undefined
  • [10] Odzijewicz T.(2013)undefined J. Optim. Theory Appl. 156 56-undefined
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