Baleanu, DumitruMohammed, Pshtiwan OthmanBaleanu, DumitruAbdeljawad, ThabetAbdeljawad, ThabetSahoo, Soubhagya KumarAbualnaja, Khadijah M.Matematik2024-01-232024-01-232022Mohammed, Pshtiwan Othman;...ET.AL. (2023). "Positivity analysis for mixed order sequential fractional difference operators", AIMS Mathematics, Vol.8, No.2, pp.2673-2685.2473-6988https://doi.org/10.3934/math.2023140Mohammed, Pshtiwan/0000-0001-6837-8075We consider the positivity of the discrete sequential fractional operators ((RL)(a0+1) del(v1) (RL)(a0) del(v2) f) (tau) defined on the set D-1 (see (1.1) and Figure 1) and (RL)(a0+2) del(v1) (RL)(a0) del(v2) f) (tau) of mixed order defined on the set D-2 (see (1.2) and Figure 2) for tau is an element of N-a0. By analysing the first sequential operator, we reach that (del f(tau) >= 0; for each tau is an element of Na0+1. Besides, we obtain (del f(tau) >= 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.eninfo:eu-repo/semantics/openAccessDiscrete Delta Riemann-Liouville Fractional DifferenceNegative Lower BoundConvexity AnalysisAnalytical And Numerical ResultsArticle822673268510.3934/math.20231402-s2.0-85141410071WOS:000884217700007Q1Q1