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ISOPERIMETRIC PROBLEMS OF THE CALCULUS OF VARIATIONS WITH FRACTIONAL DERIVATIVES |
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| Authors: | Ricardo Almeida Rui A C Ferreira Delfim F M Torres |
| Institution: | 1. Center for Research and Development in Mathematics and Applications, Department of Mathematics,University of Aveiro, 3810-193 Aveiro, Portugal 2. Center for Research and Development in Mathematics and Applications, Department of Mathematics,University of Aveiro, 3810-193 Aveiro, Portugal ;Department of Mathematics, Faculty of Engineering and Natural Sciences, Lusophone University of Humanities and Technologies, 1749-024 Lisbon, Portugal |
| Abstract: | In this article, we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives. Both situations when the lower bound of the variational integrals coincide and do not coincide with the lower bound of the fractional derivatives are considered. |
| Keywords: | Calculus of variations fractional derivatives isoperimetric problems |
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