{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,12]],"date-time":"2026-04-12T01:34:45Z","timestamp":1775957685501,"version":"3.50.1"},"reference-count":19,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["DCDS-S"],"published-print":{"date-parts":[[2018]]},"DOI":"10.3934\/dcdss.2018009","type":"journal-article","created":{"date-parts":[[2017,10,10]],"date-time":"2017-10-10T16:18:02Z","timestamp":1507652282000},"page":"143-154","source":"Crossref","is-referenced-by-count":14,"title":["Fractional Herglotz variational problems of variable order"],"prefix":"10.3934","volume":"11","author":[{"given":"Dina","family":"Tavares","sequence":"first","affiliation":[]},{"given":"Ricardo","family":"Almeida","sequence":"additional","affiliation":[{"name":"Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810\u2013193 Aveiro, Portugal"}]},{"given":"Delfim F. M.","family":"Torres","sequence":"additional","affiliation":[{"name":"Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810\u2013193 Aveiro, Portugal"}]}],"member":"2321","reference":[{"key":"key-10.3934\/dcdss.2018009-1","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2014.19.2367"},{"key":"key-10.3934\/dcdss.2018009-2"},{"key":"key-10.3934\/dcdss.2018009-3","doi-asserted-by":"publisher","DOI":"10.12775\/TMNA.2002.036"},{"key":"key-10.3934\/dcdss.2018009-4","doi-asserted-by":"publisher","DOI":"10.1063\/1.1597419"},{"key":"key-10.3934\/dcdss.2018009-5","doi-asserted-by":"publisher","DOI":"10.1137\/1038042"},{"key":"key-10.3934\/dcdss.2018009-6","unstructured":"R. B. Guenther, C. M. Guenther and J. A. Gottsch,  <i>The Herglotz Lectures on Contact Transformations and Hamiltonian Systems<\/i>, Lecture Notes in Nonlinear Analysis, Vol. 1, Juliusz Schauder Center for Nonlinear Studies, Nicholas Copernicus University, Tor\u00fan, 1996."},{"key":"key-10.3934\/dcdss.2018009-7","unstructured":"G. Herglotz,  <i>Ber\u00fchrungstransformationen<\/i> Lectures at the University of G\u00f6ttingen, G\u00f6ttingen, 1930."},{"key":"key-10.3934\/dcdss.2018009-8","doi-asserted-by":"publisher","DOI":"10.2478\/s13540-011-0032-6"},{"key":"key-10.3934\/dcdss.2018009-9","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.01.010"},{"key":"key-10.3934\/dcdss.2018009-10","doi-asserted-by":"publisher","unstructured":"T. Odzijewicz, A. B. Malinowska and D. F. M. Torres, Fractional variational calculus ofvariable order, In: <i>Advances in Harmonic Analysis and Operator Theory<\/i>, 291\u2013301, Oper. Theory Adv. Appl. , 229, Birkh\u00e4user\/Springer Basel AG, Basel, 2013.","DOI":"10.1007\/978-3-0348-0516-2_16"},{"key":"key-10.3934\/dcdss.2018009-11","doi-asserted-by":"publisher","DOI":"10.2478\/s11534-013-0208-2"},{"key":"key-10.3934\/dcdss.2018009-12","doi-asserted-by":"publisher","DOI":"10.1080\/10652469308819027"},{"key":"key-10.3934\/dcdss.2018009-13","doi-asserted-by":"publisher","DOI":"10.1007\/s10013-013-0048-9"},{"key":"key-10.3934\/dcdss.2018009-14","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2015.35.4593"},{"key":"key-10.3934\/dcdss.2018009-15","doi-asserted-by":"publisher","unstructured":"S. P. S. Santos, N. Martins and D. F. M. Torres, An optimal control approach to Herglotz variational problems, in <i>Optimization in the Natural Sciences<\/i> (eds. A. Plakhov, T. Tchemisovaand A. Freitas), Communications in Computer and Information Science, Vol. 499, Springer, 2015,107\u2013117.","DOI":"10.1007\/978-3-319-20352-2_7"},{"key":"key-10.3934\/dcdss.2018009-16","doi-asserted-by":"publisher","DOI":"10.3934\/proc.2015.990"},{"key":"key-10.3934\/dcdss.2018009-17"},{"key":"key-10.3934\/dcdss.2018009-18","doi-asserted-by":"publisher","unstructured":"H. Sun, S. Hu, Y. Chen, W. Chen and Z. Yu, A dynamic-order fractional dynamic system <i>Chinese Phys. Lett. <\/i>, <b>30<\/b> (2013), 046601, 4 pp.","DOI":"10.1088\/0256-307X\/30\/4\/046601"},{"key":"key-10.3934\/dcdss.2018009-19","doi-asserted-by":"publisher","DOI":"10.1080\/02331934.2015.1010088"}],"container-title":["Discrete and Continuous Dynamical Systems - S"],"original-title":[],"link":[{"URL":"http:\/\/aimsciences.org\/\/article\/doi\/10.3934\/dcdss.2018009?viewType=html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T11:52:01Z","timestamp":1772797921000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/dcdss.2018009"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":19,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018]]}},"URL":"https:\/\/doi.org\/10.3934\/dcdss.2018009","relation":{},"ISSN":["1937-1632","1937-1179"],"issn-type":[{"value":"1937-1632","type":"print"},{"value":"1937-1179","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018]]}}}