Abstract
Using Atangana-Baleanu (AB) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-related applications are also shown.
Original language | English |
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Pages (from-to) | 10001-10020 |
Number of pages | 20 |
Journal | AIMS Mathematics |
Volume | 8 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2023 |
Externally published | Yes |
Keywords
- Atangana-Baleanu fractional integral operator
- Mercer’s Hermite-Hadamard inequality
- convex function
- interval-valued function