Monotonicity results for nabla Riemann-Liouville fractional differences
Date
2022
Authors
Mohammed, Pshtiwan Othman
Srivastava, H.M.
Baleanu, Dumitru
Jan, Rashid
Abualnaja, Khadijah M.
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
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 (RL b0 ∇^θ g) (z) combined with a condition on g(b0 + 2), g(b0 + 3) and g(b0 + 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 (RL b0 ∇^θ g)(z).
Description
Keywords
discrete fractional calculus, discrete nable Riemann-Liouville fractional differences, monotonicity analysis
Citation
Mohammed, P., Srivastava, H., Baleanu, D., Jan, R., & Abualnaja, K. (2022). “Monotonicity results for nabla Riemann-Liouville fractional differences.” Mathematics, 10(14), 2433. https://doi.org/10.3390/math10142433