New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel
dc.contributor.author | Mohammed, Pshtiwan Othman | |
dc.contributor.author | Goodrich, Christopher S. | |
dc.contributor.author | Brzo, Aram Bahroz | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Hamed, Yasser S. | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2024-04-25T07:39:38Z | |
dc.date.available | 2024-04-25T07:39:38Z | |
dc.date.issued | 2022 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | This paper deals with studying monotonicity analysis for discrete fractional operators with Mittag-Leffler in kernel. The ν-monotonicity definitions, namely ν-(strictly) increasing and ν-(strictly) decreasing, are presented as well. By examining the basic properties of the proposed discrete fractional operators together with ν-monotonicity definitions, we find that the investigated discrete fractional operators will be ν2-(strictly) increasing or ν2-(strictly) decreasing in certain domains of the time scale Na := {a, a + 1, . . . }. Finally, the correctness of developed theories is verified by deriving mean value theorem in discrete fractional calculus. | en_US |
dc.identifier.citation | Mohammed, Pshtiwan Othman;...et.al. "New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel", Mathematical Biosciences and Engineering, Vol.19, No.4, pp.4062-4074. | en_US |
dc.identifier.doi | 10.3934/mbe.2022186 | |
dc.identifier.endpage | 4074 | en_US |
dc.identifier.issn | 15471063 | |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 4062 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/7979 | |
dc.identifier.volume | 19 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Mathematical Biosciences and Engineering | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Discrete Fractional Calculus | en_US |
dc.subject | Monotonicity Investigations | en_US |
dc.subject | Nabla AB-Fractional Operator | en_US |
dc.title | New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel | tr_TR |
dc.title | New Classifications of Monotonicity Investigation for Discrete Operators With Mittag-Leffler Kernel | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |