[{"type":"preprint","status":"public","file":[{"date_updated":"2024-08-14T09:00:32Z","creator":"hariz","date_created":"2024-08-14T09:00:32Z","file_size":895203,"file_id":"55608","access_level":"closed","file_name":"2403.18362v1.pdf","content_type":"application/pdf","success":1,"relation":"main_file"}],"_id":"55607","user_id":"98857","ddc":["510"],"language":[{"iso":"eng"}],"file_date_updated":"2024-08-14T09:00:32Z","has_accepted_license":"1","related_material":{"link":[{"relation":"confirmation","url":"https://doi.org/10.48550/arXiv.2403.18362"}]},"year":"2024","citation":{"ama":"Hariz Belgacem K, Ober-Blöbaum S, Jiménez F. Fractional variational integrators based on convolution quadrature. Published online 2024.","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.","apa":"Hariz Belgacem, K., Ober-Blöbaum, S., &#38; Jiménez, F. (2024). <i>Fractional variational integrators based on convolution quadrature</i>.","short":"K. Hariz Belgacem, S. Ober-Blöbaum, F. Jiménez, (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} }","mla":"Hariz Belgacem, Khaled, et al. <i>Fractional Variational Integrators Based on Convolution Quadrature</i>. 2024."},"oa":"1","date_updated":"2024-08-14T09:14:49Z","date_created":"2024-08-14T09:02:04Z","author":[{"first_name":"Khaled","last_name":"Hariz Belgacem","full_name":"Hariz Belgacem, Khaled","id":"98857"},{"last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"},{"last_name":"Jiménez","full_name":"Jiménez, Fernando ","first_name":"Fernando "}],"title":"Fractional variational integrators based on convolution quadrature","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2403.18362","open_access":"1"}]},{"type":"dissertation","status":"public","file":[{"creator":"hariz","date_created":"2024-08-14T08:53:31Z","date_updated":"2024-08-14T08:53:31Z","file_name":"PhDThesis.pdf","file_id":"55606","access_level":"open_access","file_size":4492215,"content_type":"application/pdf","relation":"main_file"}],"_id":"55605","user_id":"98857","ddc":["510"],"file_date_updated":"2024-08-14T08:53:31Z","language":[{"iso":"eng"}],"extern":"1","has_accepted_license":"1","related_material":{"link":[{"relation":"confirmation","url":"https://univ-pau.hal.science/tel-03776279v1"}]},"year":"2022","citation":{"chicago":"Hariz Belgacem, Khaled. <i>High-Order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica</i>, 2022.","ieee":"K. Hariz Belgacem, <i>High-order embedding formalism, Noether’s theorem on time scales and Eringen’s nonlocal elastica</i>. 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.","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} }","short":"K. Hariz Belgacem, High-Order Embedding Formalism, Noether’s Theorem on Time Scales and Eringen’s Nonlocal Elastica, 2022.","apa":"Hariz Belgacem, K. (2022). <i>High-order embedding formalism, Noether’s theorem on time scales and Eringen’s nonlocal elastica</i>."},"oa":"1","date_updated":"2024-08-14T09:10:42Z","author":[{"id":"98857","full_name":"Hariz Belgacem, Khaled","last_name":"Hariz Belgacem","first_name":"Khaled"}],"date_created":"2024-08-14T08:53:38Z","title":"High-order embedding formalism, Noether's theorem on time scales and Eringen's nonlocal elastica","main_file_link":[{"url":"https://univ-pau.hal.science/tel-03776279v1"}]},{"_id":"39400","user_id":"98857","article_number":"108128652211080","keyword":["Mechanics of Materials","General Materials Science","General Mathematics"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Mathematics and Mechanics of Solids","abstract":[{"lang":"eng","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>"}],"status":"public","date_updated":"2023-08-01T11:52:17Z","publisher":"SAGE Publications","author":[{"first_name":"Jacky","full_name":"Cresson, Jacky","last_name":"Cresson"},{"last_name":"Hariz Belgacem","full_name":"Hariz Belgacem, Khaled","id":"98857","first_name":"Khaled"}],"date_created":"2023-01-24T10:18:34Z","title":"About the structure of the discrete and continuous Eringen’s nonlocal elastica","doi":"10.1177/10812865221108094","publication_status":"published","publication_identifier":{"issn":["1081-2865","1741-3028"]},"year":"2022","citation":{"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>","short":"J. Cresson, K. Hariz Belgacem, Mathematics and Mechanics of Solids (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>.","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} }","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>","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>.","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>."}},{"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"article_number":"113502","language":[{"iso":"eng"}],"extern":"1","_id":"39399","user_id":"98857","status":"public","publication":"Journal of Mathematical Physics","type":"journal_article","title":"Noether’s-type theorems on time scales","doi":"10.1063/1.5140201","publisher":"AIP Publishing","date_updated":"2023-08-01T11:51:51Z","volume":61,"date_created":"2023-01-24T10:17:50Z","author":[{"first_name":"Baptiste","full_name":"Anerot, Baptiste","last_name":"Anerot"},{"first_name":"Jacky","full_name":"Cresson, Jacky","last_name":"Cresson"},{"first_name":"Khaled","full_name":"Hariz Belgacem, Khaled","id":"98857","last_name":"Hariz Belgacem"},{"full_name":"Pierret, Frederic","last_name":"Pierret","first_name":"Frederic"}],"year":"2020","intvolume":"        61","citation":{"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>","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>.","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>","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>.","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} }","short":"B. Anerot, J. Cresson, K. Hariz Belgacem, F. Pierret, Journal of Mathematical Physics 61 (2020)."},"publication_identifier":{"issn":["0022-2488","1089-7658"]},"publication_status":"published","issue":"11"}]