Solving a fractional nonlinear Schrödinger equation with singular conditions
| dc.contributor.author | Benmerrous, Abdelmjid | en_US |
| dc.contributor.author | Elomari, M’hamed | en_US |
| dc.date.accessioned | 2025-07-01T07:21:48Z | |
| dc.date.available | 2025-07-01T07:21:48Z | |
| dc.date.issued | 2025-07-01 | |
| dc.identifier.citation | Benmerrous, A. & Elomari, M. (2025). Solving a fractional nonlinear Schrödinger equation with singular conditions. TWMS Journal of Applied and Engineering Mathematics, 15(7), 1631-1645. | en_US |
| dc.identifier.issn | 2146-1147 | |
| dc.identifier.issn | 2587-1013 | |
| dc.identifier.uri | https://jaem.isikun.edu.tr/web/index.php/current/133-vol15no7/1437 | |
| dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6917 | |
| dc.description.abstract | In this paper the time-fractional Schr¨odinger equations with singular potentials are studied. Dirac function or even higher-order singularities are allowed. Using the Gronwall lemma and Laplace transforms, we give and prove the existence and uniqueness of the integral solution of the problem in Colombeau’s algebra. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Işık University Press | en_US |
| dc.relation.ispartof | TWMS Journal of Applied and Engineering Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Schrödinger equations | en_US |
| dc.subject | Caputo derivative | en_US |
| dc.subject | Generalised solution | en_US |
| dc.subject | Semigroup | en_US |
| dc.subject | Singular potential | en_US |
| dc.title | Solving a fractional nonlinear Schrödinger equation with singular conditions | en_US |
| dc.type | article | en_US |
| dc.description.version | Publisher's Version | en_US |
| dc.identifier.volume | 15 | |
| dc.identifier.issue | 7 | |
| dc.identifier.startpage | 1631 | |
| dc.identifier.endpage | 1645 | |
| dc.peerreviewed | Yes | en_US |
| dc.publicationstatus | Published | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |
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