New Riemann-Liouville fractional-order inclusions for convex functions via interval-valued settings associated with pseudo-order relations

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorSahoo, Soubhagya Kumar
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorKodamasingh, Bibhakar
dc.contributor.authorHamed, Yasser S.
dc.date.accessioned2022-10-27T16:35:58Z
dc.date.available2022-10-27T16:35:58Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractIn 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, 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/fractalfract6040212en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract6040212
dc.identifier.urihttp://hdl.handle.net/1828/14331
dc.language.isoenen_US
dc.publisherFractal and Fractionalen_US
dc.subjectconvex interval-valued functionsen_US
dc.subjectpseudo-order relationsen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectRiemann-Liouville fractional integral operatorsen_US
dc.subjectreal vector spaceen_US
dc.subjectfuzzy interval-valued analysisen_US
dc.titleNew Riemann-Liouville fractional-order inclusions for convex functions via interval-valued settings associated with pseudo-order relationsen_US
dc.typeArticleen_US

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