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

Authors

Henok Desalegn Desta, Addis Ababa University
Deepak B. Pachpatte, Dr. Babasaheb Ambedkar Marathwada University
Jebessa B. Mijena, Georgia College & State University
Tadesse Abdi, Addis Ababa University

Document Type

Article

Publication Date

9-1-2022

Publication Title

Axioms

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.

Department

Mathematics

Volume Number

11

Issue Number

9

DOI

10.3390/axioms11090482

Recommended Citation

Desta, Henok Desalegn; Pachpatte, Deepak B.; Mijena, Jebessa B.; and Abdi, Tadesse, "Univariate and Multivariate Ostrowski-Type Inequalities Using Atangana–Baleanu Caputo Fractional Derivative" (2022). Faculty and Staff Works. 488.
https://kb.gcsu.edu/fac-staff/488