Generalized fractional isoperimetric problem of several variables

Tatiana Odzijewicz

doi:10.3934/dcdsb.2014.19.2617

Article Contents

2014, Volume 19, Issue 8: 2617-2629. Doi: 10.3934/dcdsb.2014.19.2617

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Generalized fractional isoperimetric problem of several variables

Tatiana Odzijewicz^1,

1.
Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro

Received: October 2013

Revised: March 2014

Published: October 2014

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Abstract

This work deals with the generalized fractional calculus of variations of several variables. Precisely, we prove a sufficient optimality condition for the fundamental problem and a necessary optimality condition for the isoperimetric problem. Our results cover important particular cases of problems with constant and variable order fractional operators.

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Mathematics Subject Classification: Primary: 26B99, 49K10, 47B34.

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