Version 1
: Received: 15 January 2021 / Approved: 18 January 2021 / Online: 18 January 2021 (09:55:49 CET)
How to cite:
Jenber, D.; Haile, M.; Gizachew, A. Chebyshev Type Inequalities for the Riemann-Liouville Variable-Order Fractional Integral Operator. Preprints2021, 2021010310 (doi: 10.20944/preprints202101.0310.v1).
Jenber, D.; Haile, M.; Gizachew, A. Chebyshev Type Inequalities for the Riemann-Liouville Variable-Order Fractional Integral Operator. Preprints 2021, 2021010310 (doi: 10.20944/preprints202101.0310.v1).
Cite as:
Jenber, D.; Haile, M.; Gizachew, A. Chebyshev Type Inequalities for the Riemann-Liouville Variable-Order Fractional Integral Operator. Preprints2021, 2021010310 (doi: 10.20944/preprints202101.0310.v1).
Jenber, D.; Haile, M.; Gizachew, A. Chebyshev Type Inequalities for the Riemann-Liouville Variable-Order Fractional Integral Operator. Preprints 2021, 2021010310 (doi: 10.20944/preprints202101.0310.v1).
Abstract
This paper presents Chebyshev Type inequalities for the Riemann-Liouville variable-order fractional integral operator using two synchronous functions on the set of real numbers. It is the first result of its kind in the current literature using variable-order Riemann-Liouville fractional integral operator. Some special cases for the result obtained in the paper are discussed.
Subject Areas
Fractional integral inequalities; Riemann-Liouville variable-order fractional operator; Synchronous functions
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.