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Monotonicity Results for Nabla Riemann–Liouville Fractional Differences.
- Source :
- Mathematics (2227-7390); Jul2022, Vol. 10 Issue 14, pN.PAG-N.PAG, 14p
- Publication Year :
- 2022
-
Abstract
- Positivity analysis is used with some basic conditions to analyse monotonicity across all discrete fractional disciplines. This article addresses the monotonicity of the discrete nabla fractional differences of the Riemann–Liouville type by considering the positivity of ∇ b 0 R L θ g (z) combined with a condition on g (b 0 + 2) , g (b 0 + 3) and g (b 0 + 4) , successively. The article ends with a relationship between the discrete nabla fractional and integer differences of the Riemann–Liouville type, which serves to show the monotonicity of the discrete fractional difference ∇ b 0 R L θ g (z) . [ABSTRACT FROM AUTHOR]
- Subjects :
- FRACTIONAL calculus
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 14
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 158300432
- Full Text :
- https://doi.org/10.3390/math10142433