A Study of Monotonicity Analysis for the Delta and Nabla Discrete Fractional Operators of the Liouville

A Study of Monotonicity Analysis for the Delta and Nabla Discrete Fractional Operators of the Liouville–Caputo Family

Published:2023-01-22 Issue:2 Volume:12 Page:114
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Mohammed Pshtiwan Othman¹^ORCID,Goodrich Christopher S.²^ORCID,Srivastava Hari Mohan³⁴⁵⁶^ORCID,Al-Sarairah Eman⁷⁸^ORCID,Hamed Y. S.⁹^ORCID

Affiliation:

1. Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq

2. School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia

3. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

4. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan

5. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

7. Department of Mathematics, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates

8. Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 33011, Ma’an 71111, Jordan

9. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Abstract

In the present article, we explore the correlation between the sign of a Liouville–Caputo-type 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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/114/pdf

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