Positivity analysis for mixed order sequential fractional difference operators
dc.contributor.author | Mohammed, Pshtiwan Othman | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Abdeljawad, Thabet | |
dc.contributor.author | Sahoo, Soubhagya Kumar | |
dc.contributor.author | Abualnaja, Khadijah M. | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2024-01-23T13:32:56Z | |
dc.date.available | 2024-01-23T13:32:56Z | |
dc.date.issued | 2023 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | We consider the positivity of the discrete sequential fractional operators( RL a0 +1∇ν1 defined on the set D1 (see (1.1) and Figure 1) and( RL a0 +2∇ν1 RL a0 ∇ν2 f) (τ) RL a0 ∇ν2 f) (τ) of mixed order defined on the set D2 (see (1.2) and Figure 2) for τ ∈ Na0 . By analysing the first sequential operator, we reach that (∇f )(τ)≧ 0, for each τ∈ Na0 +1. Besides, we obtain(∇ f)(3) ≧ 0 by analysing the second sequential operator. Furthermore, some conditions to obtain the proposed monotonicity results are summarized. Finally, two practical applications are provided to illustrate the efficiency of the main theorems. | en_US |
dc.identifier.citation | Mohammed, Pshtiwan Othman;...ET.AL. (2023). "Positivity analysis for mixed order sequential fractional difference operators", AIMS Mathematics, Vol.8, No.2, pp.2673-2685. | en_US |
dc.identifier.doi | 10.3934/math.2023140 | |
dc.identifier.endpage | 2685 | en_US |
dc.identifier.issn | 24736988 | |
dc.identifier.issue | 2 | en_US |
dc.identifier.startpage | 2673 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/6943 | |
dc.identifier.volume | 8 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | AIMS Mathematics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Analytical And Numerical Results | en_US |
dc.subject | Convexity Analysis | en_US |
dc.subject | Discrete Delta Riemann-Liouville Fractional Difference | en_US |
dc.subject | Negative Lower Bound | en_US |
dc.title | Positivity analysis for mixed order sequential fractional difference operators | tr_TR |
dc.title | Positivity Analysis for Mixed Order Sequential Fractional Difference Operators | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |