Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness-Reference-Cited by-同舟云学术

Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness

Published:2022 Issue:6 Volume:7 Page:10387-10399
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mahmood Sarkhel Akbar¹,Mohammed Pshtiwan Othman¹,Baleanu Dumitru²³⁴,Aydi Hassen⁵⁶⁷,Hamed Yasser S.⁸

Affiliation:

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

2. Department of Mathematics, Cankaya University, Balgat 06530, Ankara, Turkey

3. Institute of Space Sciences, R76900 Magurele-Bucharest, Romania

4. Department of Mathematics, King Abdul Aziz University, Jeddah 21577, Saudi Arabia

5. Dniversité de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

6. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

7. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

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

Abstract

<abstract><p>In this paper we study the positivity analysis problems for discrete fractional operators with exponential kernel, namely the discrete Caputo-Fabrizio operators. The results are applied to a discrete Caputo-Fabrizio-Caputo fractional operator of order $ \omega $ of another discrete Caputo-Fabrizio-Riemann fractional operator of order $ \beta $. Furthermore, the results are obtained for these operators with having the same orders. The conditions for the discrete fractional operators with respect to negative lower bound conditions are expressed in terms of a positive epsilon.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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