New Riemann-Liouville fractional-order inclusions for convex functions via interval-valued settings associated with pseudo-order relations
Date
2022
Authors
Srivastava, H.M.
Sahoo, Soubhagya Kumar
Mohammed, Pshtiwan Othman
Kodamasingh, Bibhakar
Hamed, Yasser S.
Journal Title
Journal ISSN
Volume Title
Publisher
Fractal and Fractional
Abstract
In this study, we focus on the newly introduced concept of LR-convex interval-valued
functions to establish new variants of the Hermite–Hadamard (H-H) type and Pachpatte type
inequalities for Riemann–Liouville fractional integrals. By presenting some numerical examples,
we also verify the correctness of the results that we have derived in this paper. Because the results,
which are related to the differintegral of the (e1+e2)/2 type, are novel in the context of the LR-convex
interval-valued functions, we believe that this will be a useful contribution for motivating future
research in this area.
Description
Keywords
convex interval-valued functions, pseudo-order relations, Hermite-Hadamard inequality, Riemann-Liouville fractional integral operators, real vector space, fuzzy interval-valued analysis
Citation
Srivastava, H., Sahoo, S., Mohammed, P., Kodamasingh, B., & Hamed, Y. (2022). “New Riemann-Liouville fractional-order inclusions for convex functions via intervalvalued settings associated with pseudo-order relations.” Fractal and Fractional, 6(4), 212. https://doi.org/10.3390/fractalfract6040212