Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Monotonicity and extremality analysis of difference operators in Riemann-Liouville family

Thumbnail Image

Date

2023

Authors

Mohammed, Pshtiwan Othman
Baleanu, Dumitru
Abdeljawad, Thabet
Al-Sarairah, Eman
Hamed, Y.S.

Journal Title

Journal ISSN

Volume Title

Publisher

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

In this paper, we will discuss the monotone decreasing and increasing of a discrete nonpositive and nonnegative function defined on Nr0 +1, respectively, which come from analysing the discrete Riemann-Liouville differences together with two necessary conditions (see Lemmas 2.1 and 2.3). Then, the relative minimum and relative maximum will be obtained in view of these results combined with another condition (see Theorems 2.1 and 2.2). We will modify and reform the main two lemmas by replacing the main condition with a new simpler and stronger condition. For these new lemmas, we will establish similar results related to the relative minimum and relative maximum again. Finally, some examples, figures and tables are reported to demonstrate the applicability of the main lemmas. Furthermore, we will clarify that the first condition in the main first two lemmas is solely not sufficient for the function to be monotone decreasing or increasing.

Description

Keywords

Extremality Analysis, Monotonicity Analysis, Riemann-Liouville Discrete Operators

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Mohammed, Pshtiwan Othman;...et.al. (2023). "Monotonicity and extremality analysis of difference operators in Riemann-Liouville family", AIMS Mathematics, Vol.8, No.3, pp.5303-5317.

WoS Q

Scopus Q

Source

AIMS Mathematics

Volume

8

Issue

3

Start Page

5303

End Page

5317