Yayın: On the generalized elzaki transform and its applications to fractional differential equations
| dc.contributor.author | Güneş, Aysun Yurttaş | |
| dc.contributor.author | Benali, Halim | |
| dc.contributor.author | Souid, Mohammed Said | |
| dc.contributor.buuauthor | YURTTAŞ GÜNEŞ, AYSUN | |
| dc.contributor.department | Fen ve Edebiyat Fakültesi | |
| dc.contributor.department | Matematik Bölümü | |
| dc.contributor.researcherid | AAG-8470-2021 | |
| dc.date.accessioned | 2025-10-21T09:33:50Z | |
| dc.date.issued | 2025-01-01 | |
| dc.description.abstract | In this paper, we introduce a modified Elzaki transform and its generalization, namely the Elzaki transform, and its own convolution theorem is given. These generalization are given by composition with a monotonic increasing function & rhov; having a continuous derivative. A revised version of the Elzaki transform that is broader in scope and applicable over a wider range is developed, and some of its fundamental properties are given. This modified transform is performed to find solutions Using comparision graphs, one can determine the effectiveness of the solutions. This research opens up new avenues for future research and has the potential to make a significant impact on the field of mathematics and its applications. | |
| dc.identifier.doi | 10.3934/math.2025593 | |
| dc.identifier.endpage | 13250 | |
| dc.identifier.issue | 6 | |
| dc.identifier.scopus | 2-s2.0-105008335932 | |
| dc.identifier.startpage | 13231 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2025593 | |
| dc.identifier.uri | https://hdl.handle.net/11452/56083 | |
| dc.identifier.volume | 10 | |
| dc.identifier.wos | 001506861300005 | |
| dc.indexed.wos | WOS.SCI | |
| dc.language.iso | en | |
| dc.publisher | Amer inst mathematical sciences-aims | |
| dc.relation.journal | Aims mathematics | |
| dc.subject | Derivatives | |
| dc.subject | Elzaki transform | |
| dc.subject | Convolution | |
| dc.subject | Generalized fractional operators | |
| dc.subject | Fractional integrals | |
| dc.subject | Graph modeling | |
| dc.subject | Science & technology | |
| dc.subject | Physical sciences | |
| dc.subject | Mathematics, applied | |
| dc.subject | Mathematics | |
| dc.title | On the generalized elzaki transform and its applications to fractional differential equations | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| local.contributor.department | Fen ve Edebiyat Fakültesi/Matematik Bölümü | |
| local.indexed.at | WOS | |
| local.indexed.at | Scopus | |
| relation.isAuthorOfPublication | e2d46f0d-e1af-46a1-8816-bd2c471b2a3d | |
| relation.isAuthorOfPublication.latestForDiscovery | e2d46f0d-e1af-46a1-8816-bd2c471b2a3d |
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