Generalized solutions for fractional Schrödinger equation
| dc.contributor.author | Benmerrous, Abdelmjid | en_US |
| dc.contributor.author | Chadli, Lalla Saadia | en_US |
| dc.contributor.author | Moujahid, Abdelaziz | en_US |
| dc.contributor.author | Elomari, M’hamed | en_US |
| dc.contributor.author | Melliani, Said | en_US |
| dc.date.accessioned | 2024-10-04T07:18:32Z | |
| dc.date.available | 2024-10-04T07:18:32Z | |
| dc.date.issued | 2024-10 | |
| dc.identifier.citation | Benmerrous, A., Chadli, L. S., Moujahid, A., Elomari, M. & Melliani, S. (2024). Generalized solutions for fractional Schrödinger equation. TWMS Journal of Applied and Engineering Mathematics, 14(4), 1361-1373. | en_US |
| dc.identifier.issn | 2146-1147 | |
| dc.identifier.issn | 2587-1013 | |
| dc.identifier.uri | https://jaem.isikun.edu.tr/web/index.php/archive/126-vol14no4/1264 | |
| dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6116 | |
| dc.description.abstract | This paper focuses on the fractional Schr¨odinger problem with the use of a new fractional derivative. Using Banach’s fixed point theorem and Laplace transforms, we give and prove the integral solution of the problem. In Colombeau’s algebra, The existence and uniqueness of the solution are demonstrated using the Gronwall lemma. | 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 problem | en_US |
| dc.subject | Distributions | en_US |
| dc.subject | Colombeau algebra | en_US |
| dc.subject | ψ−Caputo derivative | en_US |
| dc.subject | Laplace transforms | en_US |
| dc.title | Generalized solutions for fractional Schrödinger equation | en_US |
| dc.type | article | en_US |
| dc.description.version | Publisher's Version | en_US |
| dc.identifier.volume | 14 | |
| dc.identifier.issue | 4 | |
| dc.identifier.startpage | 1361 | |
| dc.identifier.endpage | 1373 | |
| dc.peerreviewed | Yes | en_US |
| dc.publicationstatus | Published | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |
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