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 A fractional calculus of variations for multiple integrals with application to vibrating string
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4119

title: A fractional calculus of variations for multiple integrals with application to vibrating string
authors: Almeida, R.
Malinowska, A.B.
Torres, D.F.M.
issue date: 2010
publisher: American Institute of Physics (AIP)
abstract: We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string. © 2010 American Institute of Physics.
URI: http://hdl.handle.net/10773/4119
ISSN: 0022-2488
source: Journal of Mathematical Physics
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