A study of monotonicity analysis for the delta and nabla discrete fractional operators of the Liouville-Caputo family
Date
2023
Authors
Mohammed, Pshtiwan Othman
Goodrich, Christopher S.
Srivastava, H.M.
Al-Sarairah, Eman
Hamed, Y. S.
Journal Title
Journal ISSN
Volume Title
Publisher
Axioms
Abstract
In the present article, we explore the correlation between the sign of a Liouville–Caputotype
difference operator and the monotone behavior of the function upon which the difference
operator acts. Finally, an example is also provided to demonstrate the application and the validation
of the results which we have proved herein.
Description
Keywords
delta and nabla discrete fractional operators, Liouville-Caputo fractional difference operators, positivity analysis, monotonicity analysis
Citation
Mohammed, P. O., Goodrich, C. S., Srivastava, H. M., Al-Sarairah, E., & Hamed, Y. S. (2023). “A study of monotonicity analysis for the delta and nabla discrete fractional operators of the Liouville-Caputo family.” Axioms, 12(2), 114. https://doi.org/10.3390/axioms12020114