Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Chebyshev Type Inequalities for the Riemann-Liouville Variable-Order Fractional Integral Operator

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. Preprints 2021, 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.

Keywords

Fractional integral inequalities; Riemann-Liouville variable-order fractional operator; Synchronous functions

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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