Fractional calculus of variations for double integrals
We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fract...
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| Formato: | article |
| Idioma: | eng |
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2011
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| Texto completo: | http://hdl.handle.net/10773/4065 |
| País: | Portugal |
| Oai: | oai:ria.ua.pt:10773/4065 |
| Resumo: | We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions. © Balkan Society of Geometers, Geometry Balkan Press 2011. |
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