[{"_id":"55607","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2403.18362","open_access":"1"}],"user_id":"98857","ddc":["510"],"author":[{"first_name":"Khaled","last_name":"Hariz Belgacem","full_name":"Hariz Belgacem, Khaled","id":"98857"},{"full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"last_name":"Jiménez","first_name":"Fernando ","full_name":"Jiménez, Fernando "}],"status":"public","year":"2024","title":"Fractional variational integrators based on convolution quadrature","has_accepted_license":"1","date_updated":"2024-08-14T09:14:49Z","date_created":"2024-08-14T09:02:04Z","file":[{"creator":"hariz","date_created":"2024-08-14T09:00:32Z","date_updated":"2024-08-14T09:00:32Z","relation":"main_file","file_size":895203,"access_level":"closed","file_name":"2403.18362v1.pdf","content_type":"application/pdf","success":1,"file_id":"55608"}],"oa":"1","type":"preprint","citation":{"mla":"Hariz Belgacem, Khaled, et al. <i>Fractional Variational Integrators Based on Convolution Quadrature</i>. 2024.","ama":"Hariz Belgacem K, Ober-Blöbaum S, Jiménez F. Fractional variational integrators based on convolution quadrature. Published online 2024.","bibtex":"@article{Hariz Belgacem_Ober-Blöbaum_Jiménez_2024, title={Fractional variational integrators based on convolution quadrature}, author={Hariz Belgacem, Khaled and Ober-Blöbaum, Sina and Jiménez, Fernando }, year={2024} }","apa":"Hariz Belgacem, K., Ober-Blöbaum, S., &#38; Jiménez, F. (2024). <i>Fractional variational integrators based on convolution quadrature</i>.","ieee":"K. Hariz Belgacem, S. Ober-Blöbaum, and F. Jiménez, “Fractional variational integrators based on convolution quadrature.” 2024.","chicago":"Hariz Belgacem, Khaled, Sina Ober-Blöbaum, and Fernando  Jiménez. “Fractional Variational Integrators Based on Convolution Quadrature,” 2024.","short":"K. Hariz Belgacem, S. Ober-Blöbaum, F. Jiménez, (2024)."},"file_date_updated":"2024-08-14T09:00:32Z","related_material":{"link":[{"relation":"confirmation","url":"https://doi.org/10.48550/arXiv.2403.18362"}]}},{"type":"dissertation","oa":"1","file":[{"creator":"hariz","date_created":"2024-08-14T08:53:31Z","date_updated":"2024-08-14T08:53:31Z","relation":"main_file","file_size":4492215,"access_level":"open_access","file_name":"PhDThesis.pdf","content_type":"application/pdf","file_id":"55606"}],"date_created":"2024-08-14T08:53:38Z","related_material":{"link":[{"url":"https://univ-pau.hal.science/tel-03776279v1","relation":"confirmation"}]},"extern":"1","file_date_updated":"2024-08-14T08:53:31Z","citation":{"bibtex":"@book{Hariz Belgacem_2022, title={High-order embedding formalism, Noether’s theorem on time scales and Eringen’s nonlocal elastica}, author={Hariz Belgacem, Khaled}, year={2022} }","ama":"Hariz Belgacem K. <i>High-Order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica</i>.; 2022.","mla":"Hariz Belgacem, Khaled. <i>High-Order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica</i>. 2022.","chicago":"Hariz Belgacem, Khaled. <i>High-Order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica</i>, 2022.","short":"K. Hariz Belgacem, High-Order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica, 2022.","ieee":"K. Hariz Belgacem, <i>High-order embedding formalism, Noether’s theorem on time scales and Eringen’s nonlocal elastica</i>. 2022.","apa":"Hariz Belgacem, K. (2022). <i>High-order embedding formalism, Noether’s theorem on time scales and Eringen’s nonlocal elastica</i>."},"ddc":["510"],"user_id":"98857","main_file_link":[{"url":"https://univ-pau.hal.science/tel-03776279v1"}],"_id":"55605","language":[{"iso":"eng"}],"date_updated":"2024-08-14T09:10:42Z","has_accepted_license":"1","title":"High-order embedding formalism, Noether's theorem on time scales and Eringen's nonlocal elastica","year":"2022","status":"public","author":[{"id":"98857","full_name":"Hariz Belgacem, Khaled","last_name":"Hariz Belgacem","first_name":"Khaled"}]},{"date_updated":"2023-08-01T11:52:17Z","publication_status":"published","author":[{"last_name":"Cresson","first_name":"Jacky","full_name":"Cresson, Jacky"},{"id":"98857","first_name":"Khaled","last_name":"Hariz Belgacem","full_name":"Hariz Belgacem, Khaled"}],"publication_identifier":{"issn":["1081-2865","1741-3028"]},"status":"public","year":"2022","title":"About the structure of the discrete and continuous Eringen’s nonlocal elastica","doi":"10.1177/10812865221108094","user_id":"98857","publisher":"SAGE Publications","_id":"39400","language":[{"iso":"eng"}],"article_number":"108128652211080","abstract":[{"text":"<jats:p> The Eringen’s nonlocal elastica equation does not possess a Lagrangian formulation. In this article, we find a variational integrating factor which enables us to provide a Lagrangian and Hamiltonian structure associated to this equation. Explicit expressions of the solutions in terms of elliptic integrals of the first kind are then deduced. We then derive discrete version of the Eringen’s nonlocal elastica preserving the Lagrangian and Hamiltonian structure and compare it with Challamel’s and co-worker definition of a discrete Eringen’s nonlocal elastica. </jats:p>","lang":"eng"}],"citation":{"ama":"Cresson J, Hariz Belgacem K. About the structure of the discrete and continuous Eringen’s nonlocal elastica. <i>Mathematics and Mechanics of Solids</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1177/10812865221108094\">10.1177/10812865221108094</a>","bibtex":"@article{Cresson_Hariz Belgacem_2022, title={About the structure of the discrete and continuous Eringen’s nonlocal elastica}, DOI={<a href=\"https://doi.org/10.1177/10812865221108094\">10.1177/10812865221108094</a>}, number={108128652211080}, journal={Mathematics and Mechanics of Solids}, publisher={SAGE Publications}, author={Cresson, Jacky and Hariz Belgacem, Khaled}, year={2022} }","mla":"Cresson, Jacky, and Khaled Hariz Belgacem. “About the Structure of the Discrete and Continuous Eringen’s Nonlocal Elastica.” <i>Mathematics and Mechanics of Solids</i>, 108128652211080, SAGE Publications, 2022, doi:<a href=\"https://doi.org/10.1177/10812865221108094\">10.1177/10812865221108094</a>.","chicago":"Cresson, Jacky, and Khaled Hariz Belgacem. “About the Structure of the Discrete and Continuous Eringen’s Nonlocal Elastica.” <i>Mathematics and Mechanics of Solids</i>, 2022. <a href=\"https://doi.org/10.1177/10812865221108094\">https://doi.org/10.1177/10812865221108094</a>.","short":"J. Cresson, K. Hariz Belgacem, Mathematics and Mechanics of Solids (2022).","apa":"Cresson, J., &#38; Hariz Belgacem, K. (2022). About the structure of the discrete and continuous Eringen’s nonlocal elastica. <i>Mathematics and Mechanics of Solids</i>, Article 108128652211080. <a href=\"https://doi.org/10.1177/10812865221108094\">https://doi.org/10.1177/10812865221108094</a>","ieee":"J. Cresson and K. Hariz Belgacem, “About the structure of the discrete and continuous Eringen’s nonlocal elastica,” <i>Mathematics and Mechanics of Solids</i>, Art. no. 108128652211080, 2022, doi: <a href=\"https://doi.org/10.1177/10812865221108094\">10.1177/10812865221108094</a>."},"publication":"Mathematics and Mechanics of Solids","keyword":["Mechanics of Materials","General Materials Science","General Mathematics"],"type":"journal_article","date_created":"2023-01-24T10:18:34Z"},{"user_id":"98857","volume":61,"_id":"39399","publisher":"AIP Publishing","status":"public","citation":{"mla":"Anerot, Baptiste, et al. “Noether’s-Type Theorems on Time Scales.” <i>Journal of Mathematical Physics</i>, vol. 61, no. 11, 113502, AIP Publishing, 2020, doi:<a href=\"https://doi.org/10.1063/1.5140201\">10.1063/1.5140201</a>.","ama":"Anerot B, Cresson J, Hariz Belgacem K, Pierret F. Noether’s-type theorems on time scales. <i>Journal of Mathematical Physics</i>. 2020;61(11). doi:<a href=\"https://doi.org/10.1063/1.5140201\">10.1063/1.5140201</a>","bibtex":"@article{Anerot_Cresson_Hariz Belgacem_Pierret_2020, title={Noether’s-type theorems on time scales}, volume={61}, DOI={<a href=\"https://doi.org/10.1063/1.5140201\">10.1063/1.5140201</a>}, number={11113502}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Anerot, Baptiste and Cresson, Jacky and Hariz Belgacem, Khaled and Pierret, Frederic}, year={2020} }","apa":"Anerot, B., Cresson, J., Hariz Belgacem, K., &#38; Pierret, F. (2020). Noether’s-type theorems on time scales. <i>Journal of Mathematical Physics</i>, <i>61</i>(11), Article 113502. <a href=\"https://doi.org/10.1063/1.5140201\">https://doi.org/10.1063/1.5140201</a>","ieee":"B. Anerot, J. Cresson, K. Hariz Belgacem, and F. Pierret, “Noether’s-type theorems on time scales,” <i>Journal of Mathematical Physics</i>, vol. 61, no. 11, Art. no. 113502, 2020, doi: <a href=\"https://doi.org/10.1063/1.5140201\">10.1063/1.5140201</a>.","chicago":"Anerot, Baptiste, Jacky Cresson, Khaled Hariz Belgacem, and Frederic Pierret. “Noether’s-Type Theorems on Time Scales.” <i>Journal of Mathematical Physics</i> 61, no. 11 (2020). <a href=\"https://doi.org/10.1063/1.5140201\">https://doi.org/10.1063/1.5140201</a>.","short":"B. Anerot, J. Cresson, K. Hariz Belgacem, F. Pierret, Journal of Mathematical Physics 61 (2020)."},"doi":"10.1063/1.5140201","article_number":"113502","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-08-01T11:51:51Z","intvolume":"        61","title":"Noether’s-type theorems on time scales","year":"2020","author":[{"first_name":"Baptiste","last_name":"Anerot","full_name":"Anerot, Baptiste"},{"last_name":"Cresson","first_name":"Jacky","full_name":"Cresson, Jacky"},{"first_name":"Khaled","last_name":"Hariz Belgacem","full_name":"Hariz Belgacem, Khaled","id":"98857"},{"full_name":"Pierret, Frederic","last_name":"Pierret","first_name":"Frederic"}],"publication_identifier":{"issn":["0022-2488","1089-7658"]},"type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"date_created":"2023-01-24T10:17:50Z","extern":"1","issue":"11","publication":"Journal of Mathematical Physics"}]