On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings

Tingsong Du and Taichun Zhou

Chaos, Solitons & Fractals, 2022, vol. 156, issue C

Abstract: In the present study, over a rectangle from the plane R2, we define and develop the conceptions of the interval-valued fractional double integrals having exponential kernels, from which we exploit Hermite–Hadamard, Fejér–Hermite–Hadamard, as well as Pachpatte type inclusion relations regarding the interval-valued co-ordinated convex mappings. These inclusion relations can be viewed as certain substantial generalizations of the previously reported findings. To identify the correctness of the inclusion relations constructed in this work, we also provide three examples regarding the interval-valued co-ordinated convex mappings.

Keywords: Fractional double integrals; Hermite–Hadamard type inclusions; Interval-valued co-ordinated convex mappings (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000571

DOI: 10.1016/j.chaos.2022.111846

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