Further studies on ordinary differential equations involving the M-fractional derivative
DC Field | Value | Language |
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dc.contributor.author | Khoshkenar, Amin. | - |
dc.contributor.author | Ilie, Mousa | - |
dc.contributor.author | Hosseini, Kaave | - |
dc.contributor.author | Baleanu, Dumitru | - |
dc.contributor.author | Salahshour, Soheil | - |
dc.contributor.author | Park, Choon kil | - |
dc.contributor.author | Lee, Jung-Rye | - |
dc.date.accessioned | 2022-07-06T06:23:55Z | - |
dc.date.available | 2022-07-06T06:23:55Z | - |
dc.date.created | 2022-05-04 | - |
dc.date.issued | 2022-04 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/138963 | - |
dc.description.abstract | In the current paper, the power series based on the M-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in accordance with the M-fractional derivative. Some new definitions, theorems, and corollaries regarding the power series in the M sense are presented and formally proved. Several ordinary differential equations (ODEs) involving the M-fractional derivative are solved to examine the validity of the results presented in the current study. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | Further studies on ordinary differential equations involving the M-fractional derivative | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choon kil | - |
dc.identifier.doi | 10.3934/math.2022613 | - |
dc.identifier.scopusid | 2-s2.0-85128144975 | - |
dc.identifier.wosid | 000785524900002 | - |
dc.identifier.bibliographicCitation | AIMS MATHEMATICS, v.7, no.6, pp.10977 - 10993 | - |
dc.relation.isPartOf | AIMS MATHEMATICS | - |
dc.citation.title | AIMS MATHEMATICS | - |
dc.citation.volume | 7 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 10977 | - |
dc.citation.endPage | 10993 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | NUMERICAL APPROXIMATION | - |
dc.subject.keywordAuthor | M-fractional derivative | - |
dc.subject.keywordAuthor | power series | - |
dc.subject.keywordAuthor | new definitions | - |
dc.subject.keywordAuthor | theorems and corollaries | - |
dc.subject.keywordAuthor | ordinary differential equations | - |
dc.identifier.url | http://www.aimspress.com/article/doi/10.3934/math.2022613 | - |
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