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.
Dagnachew Jenber
Adamu Gizachew