{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:43:24Z","timestamp":1772293404671,"version":"3.50.1"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,2,8]],"date-time":"2016-02-08T00:00:00Z","timestamp":1454889600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"FCT","award":["UID\/MAT\/04106\/2013"],"award-info":[{"award-number":["UID\/MAT\/04106\/2013"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2017,7]]},"DOI":"10.1007\/s10957-016-0883-4","type":"journal-article","created":{"date-parts":[[2016,2,8]],"date-time":"2016-02-08T17:18:34Z","timestamp":1454951914000},"page":"276-294","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":38,"title":["Variational Problems Involving a Caputo-Type Fractional Derivative"],"prefix":"10.1007","volume":"174","author":[{"given":"Ricardo","family":"Almeida","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,2,8]]},"reference":[{"key":"883_CR1","doi-asserted-by":"crossref","first-page":"1890","DOI":"10.1103\/PhysRevE.53.1890","volume":"53","author":"F Riewe","year":"1996","unstructured":"Riewe, F.: Nonconservative Lagrangian and Hamiltonian mechanics. Phys. Rev. E 53, 1890\u20131899 (1996)","journal-title":"Phys. Rev. E"},{"key":"883_CR2","doi-asserted-by":"crossref","DOI":"10.1142\/p991","volume-title":"Computational Methods in the Fractional Calculus of Variations","author":"R Almeida","year":"2015","unstructured":"Almeida, R., Pooseh, S., Torres, D.F.M.: Computational Methods in the Fractional Calculus of Variations. Imperial College Press, London (2015)"},{"key":"883_CR3","doi-asserted-by":"crossref","DOI":"10.1142\/p871","volume-title":"Introduction to the Fractional Calculus of Variations","author":"AB Malinowska","year":"2012","unstructured":"Malinowska, A.B., Torres, D.F.M.: Introduction to the Fractional Calculus of Variations. Imperial College Press, London (2012)"},{"key":"883_CR4","unstructured":"Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies, vol. 204. Elsevier Science B.V., Amsterdam (2006)"},{"key":"883_CR5","doi-asserted-by":"publisher","unstructured":"Gambo, Y.Y., Jarad, F., Baleanu, D., Abdeljawad, T.: On Caputo modification of the Hadamard fractional derivatives. Adv. Differ. Equ. 2014, Article 10 (2014). doi: 10.1186\/1687-1847-2014-10","DOI":"10.1186\/1687-1847-2014-10"},{"key":"883_CR6","doi-asserted-by":"publisher","unstructured":"Jarad, F., Abdeljawad, T., Baleanu, D.: Caputo-type modification of the Hadamard fractional derivatives. Adv. Differ. Equ. 2012, Article 142 (2012). doi: 10.1186\/1687-1847-2012-142","DOI":"10.1186\/1687-1847-2012-142"},{"key":"883_CR7","doi-asserted-by":"crossref","first-page":"860","DOI":"10.1016\/j.amc.2011.03.062","volume":"218","author":"UN Katugampola","year":"2011","unstructured":"Katugampola, U.N.: New approach to a generalized fractional integral. Appl. Math. Comput. 218, 860\u2013865 (2011)","journal-title":"Appl. Math. Comput."},{"issue":"4","key":"883_CR8","first-page":"1","volume":"6","author":"UN Katugampola","year":"2014","unstructured":"Katugampola, U.N.: New approach to generalized fractional derivatives. Bull. Math. Anal. Appl. 6(4), 1\u201315 (2014)","journal-title":"Bull. Math. Anal. Appl."},{"key":"883_CR9","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1016\/S0022-247X(02)00180-4","volume":"272","author":"OP Agrawal","year":"2002","unstructured":"Agrawal, O.P.: Formulation of Euler\u2013Lagrange equations for fractional variational problems. J. Math. Anal. Appl. 272, 368\u2013379 (2002)","journal-title":"J. Math. Anal. Appl."},{"key":"883_CR10","first-page":"095201","volume":"A 41","author":"TM Atanackovi\u0107","year":"2008","unstructured":"Atanackovi\u0107, T.M., Konjik, S., Pilipovi\u0107, S.: Variational problems with fractional derivatives: Euler\u2013Lagrange equations. J. Phys. A 41, 095201 (2008)","journal-title":"J. Phys."},{"key":"883_CR11","first-page":"315403","volume":"A 41","author":"D Baleanu","year":"2008","unstructured":"Baleanu, D., Maaraba, T., Jarad, F.: Fractional variational principles with delay. J. Phys. A 41, 315403 (2008)","journal-title":"J. Phys."},{"key":"883_CR12","doi-asserted-by":"crossref","first-page":"3110","DOI":"10.1016\/j.camwa.2010.02.032","volume":"59","author":"AB Malinowska","year":"2010","unstructured":"Malinowska, A.B., Torres, D.F.M.: Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative. Comput. Math. Appl. 59, 3110\u20133116 (2010)","journal-title":"Comput. Math. Appl."},{"key":"883_CR13","doi-asserted-by":"crossref","first-page":"5099","DOI":"10.1016\/j.amc.2011.10.075","volume":"218","author":"AB Malinowska","year":"2012","unstructured":"Malinowska, A.B., Torres, D.F.M.: Multiobjective fractional variational calculus in terms of a combined Caputo derivative. Appl. Math. Comput. 218, 5099\u20135111 (2012)","journal-title":"Appl. Math. Comput."},{"key":"883_CR14","doi-asserted-by":"crossref","first-page":"1507","DOI":"10.1016\/j.na.2011.01.010","volume":"75","author":"T Odzijewicz","year":"2012","unstructured":"Odzijewicz, T., Malinowska, A.B., Torres, D.F.M.: Fractional variational calculus with classical and combined Caputo derivatives. Nonlinear Anal. 75, 1507\u20131515 (2012)","journal-title":"Nonlinear Anal."},{"key":"883_CR15","doi-asserted-by":"crossref","first-page":"1816","DOI":"10.1016\/j.aml.2009.07.002","volume":"22","author":"R Almeida","year":"2009","unstructured":"Almeida, R., Torres, D.F.M.: Calculus of variations with fractional derivatives and fractional integrals. Appl. Math. Lett. 22, 1816\u20131820 (2009)","journal-title":"Appl. Math. Lett."},{"key":"883_CR16","doi-asserted-by":"crossref","first-page":"129140","DOI":"10.1016\/j.cnsns.2014.10.032","volume":"23","author":"OP Agrawal","year":"2015","unstructured":"Agrawal, O.P., Xu, Y.: Generalized vector calculus on convex domain. Commun. Nonlinear Sci. Numer. Simulat. 23, 129140 (2015)","journal-title":"Commun. Nonlinear Sci. Numer. Simulat."},{"key":"883_CR17","first-page":"050903-1","volume":"136","author":"Y Xu","year":"2014","unstructured":"Xu, Y., Agrawal, O.P.: Models and numerical solutions of generalized oscillator equations. J. Vib. Acoust. 136, 050903-1 (2014)","journal-title":"J. Vib. Acoust."},{"key":"883_CR18","doi-asserted-by":"crossref","first-page":"1157","DOI":"10.1080\/02331934.2013.877908","volume":"63","author":"MJ Lazo","year":"2014","unstructured":"Lazo, M.J., Torres, D.F.M.: The Legendre condition of the fractional calculus of variations. Optimization 63, 1157\u20131165 (2014)","journal-title":"Optimization"},{"key":"883_CR19","doi-asserted-by":"crossref","unstructured":"Anosov, D.V., Aranson, S.K., Arnold, V.I., Bronshtein, I.U., Grines, V.Z., Ilyashenko, Y.S.: Ordinary Differential Equations and Smooth Dynamical Systems, vol. 1. Encyclopaedia of Mathematical Sciences. Springer-Verlag, Berlin, Heidelberg (1988)","DOI":"10.1007\/978-3-642-61551-1_3"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-016-0883-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0883-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0883-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-016-0883-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T07:14:01Z","timestamp":1718349241000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-016-0883-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,8]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,7]]}},"alternative-id":["883"],"URL":"https:\/\/doi.org\/10.1007\/s10957-016-0883-4","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2,8]]}}}