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

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

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We established positivity of $ abla{f} $ obtained from a systematic computation stirrup extender western 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 back roads clothing saw that a simpler condition will be needed.We illustrated our positivity results for an increasing function of the rising type.