Mohammed, Pshtiwan OthmanGoodrich, Christopher S.Srivastava, H.M.Al-Sarairah, EmanHamed, Y. S.2023-02-212023-02-2120232023Mohammed, 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/axioms12020114https://doi.org/10.3390/axioms12020114http://hdl.handle.net/1828/14784In 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.endelta and nabla discrete fractional operatorsLiouville-Caputo fractional difference operatorspositivity analysismonotonicity analysisArticleDepartment of Mathematics and Statistics