Author(s):
Almeida, R. 
; Malinowska, A.B. ; Torres, D.F.M.
Date: 2011
Persistent ID: http://hdl.handle.net/10773/4119
Origin: RIA - Repositório Institucional da Universidade de Aveiro
Document details
A fractional calculus of variations for multiple integrals with application to ...
Description
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. CEOC FCT FEDER/POCI 2010 Polish Ministry of Science and Higher Education - Wsparcie miedzynarodowej mobilnosci naukowcow
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. CEOC FCT FEDER/POCI 2010 Polish Ministry of Science and Higher Education - Wsparcie miedzynarodowej mobilnosci naukowcow
Document Type
Article
Language English
Language English
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