{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T12:28:34Z","timestamp":1763468914274,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2023,10,7]],"date-time":"2023-10-07T00:00:00Z","timestamp":1696636800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Interval numbers comprise potential fields of application and describe the imprecision brought on by the flexible nature of data between boundaries. The recently added type-2 interval number allows a more thorough understanding of interval numbers. Differential equations are commonly employed in mathematical models to handle dynamic problems. It is essential to provide theories of differential equations to describe these models in an ambiguous environment controlled by type-2 interval numbers. This study proposes the type-2 interval context solvability requirements for the initial-valued first differential equation. The conditions for the solution\u2019s existence and uniqueness must be met before a brief manifestation of the solution under generalized Hukuhara differentiation occurs. An economic order quantity model analysis in a type-2 interval scenario uses a generalized Hukuhara differentiation approach.<\/jats:p>","DOI":"10.3390\/sym15101883","type":"journal-article","created":{"date-parts":[[2023,10,7]],"date-time":"2023-10-07T14:17:26Z","timestamp":1696688246000},"page":"1883","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Solvability Criteria for Uncertain Differential Equations and Their Applicability in an Economic Lot-Size Model with a Type-2 Interval Phenomenon"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5513-4095","authenticated-orcid":false,"given":"Mostafijur","family":"Rahaman","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4160-0702","authenticated-orcid":false,"given":"Rakibul","family":"Haque","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, Nadia 741249, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8263-117X","authenticated-orcid":false,"given":"Shariful","family":"Alam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sebastian","family":"Zupok","sequence":"additional","affiliation":[{"name":"Faculty of Social Sciences and Computer Science, Wyzsza Szko\u0142a Biznesu National Louis University, 33-300 Nowy Sacz, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Soheil","family":"Salahshour","sequence":"additional","affiliation":[{"name":"Faculty of Engineering and Natural Sciences, Bahcesehir University, 34353 Istanbul, Turkey"},{"name":"Department of Computer Science and Mathematics, Lebanese American University, Beirut P.O. Box 13-5053, Lebanon"},{"name":"Faculty of Engineering and Natural Sciences, Istanbul Okan University, 34959 Istanbul, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fariba","family":"Azizzadeh","sequence":"additional","affiliation":[{"name":"Department of Management, Islamic Azad University, Urmia 57169-6389, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sankar Prasad","family":"Mondal","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, Nadia 741249, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Moore, R.E., Kearfott, R.B., and Cloud, M.J. (2009). 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