Some positive results for exponential-kernel difference operators of Riemann-Liouville type

Autor: Pshtiwan Othman Mohammed
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematical Modelling and Control, Vol 4, Iss 1, Pp 133-140 (2024)
Druh dokumentu: article
ISSN: 2767-8946
DOI: 10.3934/mmc.2024012?viewType=HTML
Popis: We established positivity of $ \nabla{f} $ obtained from a systematic computation of a composition of sequential fractional differences of the function $ {f} $ that satisfy certain conditions in a negative lower bound setup. First, we considered the different order sequential fractional differences in which we need a complicated condition. Next, we equalled the order of fractional differences and we saw that a simpler condition will be needed. We illustrated our positivity results for an increasing function of the rising type.
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