An extension of Schweitzer's inequality to Riemann-Liouville fractional integral-Reference-Cited by-同舟云学术

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Published:2024-01-01 Issue:1 Volume:22 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Abdeljawad Thabet¹²³⁴,Meftah Badreddine⁵,Lakhdari Abdelghani⁶,Alqudah Manar A.⁷

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University , P.O. Box 66833 , Riyadh 11586 , Saudi Arabia

2. Department of Medical Research, China Medical University , Taichung 40402 , Taiwan

3. Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology , Hawally, 32093 , Kuwait

4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University , Garankuwa , Medusa 0204 , South Africa

5. Department of Mathematics, 8 may 1945 University , Guelma , Algeria

6. Laboratory of Energy Systems Technology, Department CPST, National Higher School of Technology and Engineering , Annaba 23005 , Algeria

7. Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah bint Abdulrahman University , P.O. Box 84428 , Riyadh 11671 , Saudi Arabia

Abstract

Abstract This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing our understanding and applications of fractional calculus.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/math-2024-0043/pdf

Reference10 articles.

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3. J. E. Wilkins, The average of the reciprocal of a function, Proc. Amer. Math. Soc. 6 (1955), 806–815.

4. J. L. Brenner and H. Alzer, Integral inequalities for concave functions with applications to special functions, Proc. Roy. Soc. Edinburgh Sect. A 118 (1991), no. 1–2, 173–192.

5. M. I. Ullah, Q. T. Ain, A. Khan, T. Abdeljawad, and M. A. Alqudah, A fractional approach to solar heating model using extended ODE system, Alex. Eng. J. 81 (2023), 405–418.