On analysing discrete sequential operators of fractional order and their monotonicity results-Reference-Cited by-同舟云学术

On analysing discrete sequential operators of fractional order and their monotonicity results

Published:2023 Issue:6 Volume:8 Page:12872-12888
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mohammed Pshtiwan Othman¹,Almusawa Musawa Yahya²

Affiliation:

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

2. Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

Abstract

<abstract><p>In this study, we consider the analysis of monotonicity for the Riemann-Liouville fractional differences of sequential type. The results are defined on the subsets of $ (0, 1)\times(0, 1) $ with a certain restriction. By analysing the difference operator in the point-wise form into a delta form, we use the standard sequential formulas as stated in Theorems 2.1 and 2.2 to establish the positivity of the delta difference operator of the proposed the discrete sequential operators. Finally, some numerical experiments are conducted which confirm our theoretical monotonicity results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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