Affiliation:
1. Department of Mathematics, College of Education, University of Sulaimani , Sulaymaniyah 46001 , Iraq
Abstract
Abstract
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order
(
ν
,
μ
)
\left(\nu ,\mu )
in the sense of Liouville–Caputo type operators has been analysed in cases when
ν
≠
μ
\nu \ne \mu
and
ν
=
μ
\nu =\mu
. Due to the kernel of the fractional difference operator being convergent, there has been a restriction in the domain of the solution. Incidentally, a negative lower bounded condition has been carried out through analysing the positivity results. For a better understanding, an increasing function has been considered as a test for the main results.
Cited by
1 articles.
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