Univariate and Multivariate Ostrowski-Type Inequalities Using Atangana–Baleanu Caputo Fractional Derivative

Desta, Henok Desalegn; Pachpatte, Deepak B.; Mijena, Jebessa B.; Abdi, Tadesse

doi:10.3390/axioms11090482

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Article

19 September 2022

11 Pages

Univariate and Multivariate Ostrowski-Type Inequalities Using Atangana–Baleanu Caputo Fractional Derivative

and

Department of Mathematics, Addis Ababa University, Addis Ababa P.O. Box 1176, Ethiopia

Department of Mathematics, Dr. Babasaheb Ambedekar Marathwada University, Aurangabad 431004, Maharashtra, India

Department of Mathematics, Georgia College and State University, Milledgeville, GA 31061, USA

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Axioms2022, 11(9), 482;https://doi.org/10.3390/axioms11090482

This article belongs to the Special Issue Current Research on Mathematical Inequalities

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Abstract

In this paper, we obtain some univariate and multivariate Ostrowski-type inequalities using the Atangana–Baleanu fractional derivative in the sense of Liouville–Caputo (ABC). The results obtained for both left and right ABC fractional derivatives can be applied to study further fractional inequalities and estimate various non-local function problems since the operator consists of a non-singular kernel. The obtained results are more generalized in nature.

Keywords:

Ostrowski inequalities; ABC fractional derivative; AB mean value theorem

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