{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T23:27:38Z","timestamp":1771975658567,"version":"3.50.1"},"reference-count":43,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,7,31]],"date-time":"2022-07-31T00:00:00Z","timestamp":1659225600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"FCT","doi-asserted-by":"publisher","award":["UIDB\/04106\/2020"],"award-info":[{"award-number":["UIDB\/04106\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an optimal control problem of minimum energy. The results are proved with the help of fixed-point and semigroup theories.<\/jats:p>","DOI":"10.3390\/axioms11080379","type":"journal-article","created":{"date-parts":[[2022,7,31]],"date-time":"2022-07-31T21:49:02Z","timestamp":1659304142000},"page":"379","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5587-3026","authenticated-orcid":false,"given":"Zoubida","family":"Ech-chaffani","sequence":"first","affiliation":[{"name":"LAMA Laboratory, Faculty of Sciences Dhar El Mahraz, Sidi Mohamed Ben Abdellah University, Avenue My Abdallah Km 5 Route d\u2019Imouzzer, Fes BP 1796, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3599-9099","authenticated-orcid":false,"given":"Ahmed","family":"Aberqi","sequence":"additional","affiliation":[{"name":"LAMA Laboratory, Department of Electrical Engineering & Computer Science, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Avenue My Abdallah Km 5 Route d\u2019Imouzzer, Fes BP 1796, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7074-764X","authenticated-orcid":false,"given":"Touria","family":"Karite","sequence":"additional","affiliation":[{"name":"Laboratory of Engineering, Systems and Applications, Department of Electrical Engineering & Computer Science, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Avenue My Abdallah Km 5 Route d\u2019Imouzzer, Fes BP 1796, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8641-2505","authenticated-orcid":false,"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, 3810-193 Aveiro, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,31]]},"reference":[{"key":"ref_1","first-page":"279","article-title":"On the exact controllability and observability of neutral type systems","volume":"17","author":"Rabah","year":"2014","journal-title":"Commun. Math. Anal."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"45","DOI":"10.14317\/jami.2015.045","article-title":"Existence results for neutral functional integrodifferential equations with infinite delay in Banach spaces","volume":"33","author":"Chandrasekaran","year":"2015","journal-title":"J. Appl. Math. 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