{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T18:23:25Z","timestamp":1740162205561,"version":"3.37.3"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2017,8,20]],"date-time":"2017-08-20T00:00:00Z","timestamp":1503187200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Afr. Mat."],"published-print":{"date-parts":[[2018,3]]},"DOI":"10.1007\/s13370-017-0524-6","type":"journal-article","created":{"date-parts":[[2017,8,20]],"date-time":"2017-08-20T10:55:30Z","timestamp":1503226530000},"page":"33-46","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A formulation of Noether\u2019s theorem for fuzzy problems of the calculus of variations"],"prefix":"10.1007","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1105-9676","authenticated-orcid":false,"given":"O. S.","family":"Fard","sequence":"first","affiliation":[]},{"given":"J.","family":"Soolaki","sequence":"additional","affiliation":[]},{"given":"R.","family":"Almeida","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,8,20]]},"reference":[{"key":"524_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/b97436","volume-title":"The Calculus of Variations","author":"BV Brunt","year":"2004","unstructured":"Brunt, B.V.: The Calculus of Variations. Springer, Heidelberg (2004)"},{"key":"524_CR2","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/S0165-0114(98)00323-6","volume":"105","author":"JJ Buckley","year":"1999","unstructured":"Buckley, J.J., Feuring, T.: Introduction to fuzzy partial differential equations. Fuzzy Sets Syst. 105, 241\u2013248 (1999)","journal-title":"Fuzzy Sets Syst."},{"unstructured":"Kosmann-Schwarzbach, Y.: Les th\u00e9or\u00e8mes de Noether, 2nd edn. With a translation of the original article Invariante Variations probleme, Editions de l Ecole Polytechnique, Palaiseau (2006)","key":"524_CR3"},{"issue":"1","key":"524_CR4","first-page":"97","volume":"61","author":"DFM Torres","year":"2004","unstructured":"Torres, D.F.M.: Quasi-invariant optimal control problems. Port. Math. (N.S.) 61(1), 97\u2013114 (2004)","journal-title":"Port. Math. (N.S.)"},{"issue":"3","key":"524_CR5","doi-asserted-by":"crossref","first-page":"491","DOI":"10.3934\/cpaa.2004.3.491","volume":"3","author":"DFM Torres","year":"2004","unstructured":"Torres, D.F.M.: Proper extensions of Noethers symmetry theorem for nonsmooth extremals of the calculus of variations. Commun. Pure Appl. Anal. 3(3), 491\u2013500 (2004)","journal-title":"Commun. Pure Appl. Anal."},{"key":"524_CR6","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1016\/j.jmaa.2007.01.013","volume":"334","author":"GSF Frederico","year":"2007","unstructured":"Frederico, G.S.F., Torres, D.F.M.: A formulation of Noethers theorem for fractional problems of the calculus of variations. J. Math. Anal. Appl. 334, 834\u2013846 (2007)","journal-title":"J. Math. Anal. Appl."},{"key":"524_CR7","doi-asserted-by":"crossref","first-page":"1134","DOI":"10.1016\/j.cnsns.2014.08.006","volume":"22","author":"NV Hoa","year":"2015","unstructured":"Hoa, N.V.: Fuzzy fractional functional differential equations under Caputo gH-differentiability. Commun. Nonlinear Sci. Numer. Simul. 22, 1134\u20131157 (2015)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"524_CR8","doi-asserted-by":"crossref","first-page":"1348","DOI":"10.1016\/j.ins.2010.11.027","volume":"181","author":"B Farhadinia","year":"2011","unstructured":"Farhadinia, B.: Necessary optimality conditions for fuzzy variational problems. Inf. Sci. 181, 1348\u20131357 (2011)","journal-title":"Inf. Sci."},{"issue":"3","key":"524_CR9","first-page":"1","volume":"4","author":"OS Fard","year":"2012","unstructured":"Fard, O.S., Zadeh, M.S.: Note on \u201cNecessary optimality conditions for fuzzy variational problems\u201d. J. Adv. Res. Dyn. Control Syst. 4(3), 1\u20139 (2012)","journal-title":"J. Adv. Res. Dyn. Control Syst."},{"issue":"3","key":"524_CR10","first-page":"447","volume":"7","author":"OS Fard","year":"2014","unstructured":"Fard, O.S., Borzabadi, A.H., Heidari, M.: On fuzzy Euler-Lagrange equations. Ann. Fuzzy Math. Inform. 7(3), 447\u2013461 (2014)","journal-title":"Ann. Fuzzy Math. Inform."},{"issue":"1","key":"524_CR11","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/0165-0114(86)90026-6","volume":"18","author":"R Goetschel Jr","year":"1986","unstructured":"Goetschel Jr., R., Voxman, W.: Elementary fuzzy calculus. Fuzzy Sets Syst. 18(1), 31\u201343 (1986)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"524_CR12","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.jmaa.2009.12.053","volume":"368","author":"J Xu","year":"2010","unstructured":"Xu, J., Liao, Z., Nieto, J.J.: A class of linear differential dynamical systems with fuzzy matrices. J. Math. Anal. Appl. 368(1), 54\u201368 (2010)","journal-title":"J. Math. Anal. Appl."}],"container-title":["Afrika Matematika"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13370-017-0524-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13370-017-0524-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13370-017-0524-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,2,9]],"date-time":"2018-02-09T05:12:50Z","timestamp":1518153170000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13370-017-0524-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,20]]},"references-count":12,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2018,3]]}},"alternative-id":["524"],"URL":"https:\/\/doi.org\/10.1007\/s13370-017-0524-6","relation":{},"ISSN":["1012-9405","2190-7668"],"issn-type":[{"type":"print","value":"1012-9405"},{"type":"electronic","value":"2190-7668"}],"subject":[],"published":{"date-parts":[[2017,8,20]]}}}