On Conformable Fractional Milne-Type Inequalities

Ying, Rui; Lakhdari, Abdelghani; Xu, Hongyan; Saleh, Wedad; Meftah, Badreddine

doi:10.3390/sym16020196

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2024

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Cited by 4 publications

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“…For additional studies on fractional integral inequalities involving Riemann-Liouville operators, readers may refer to [11][12][13][14][15] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Further Hermite–Hadamard-Type Inequalities for Fractional Integrals with Exponential Kernels

Li,

Meftah,

Saleh

et al. 2024

Fractal Fract

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This paper introduces new versions of Hermite–Hadamard, midpoint- and trapezoid-type inequalities involving fractional integral operators with exponential kernels. We explore these inequalities for differentiable convex functions and demonstrate their connections with classical integrals. This paper validates the derived inequalities through a numerical example with graphical representations and provides some practical applications, highlighting their relevance to special means. This study presents novel results, offering new insights into classical integrals as the fractional order β approaches 1, in addition to the fractional integrals we examined.

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“…For additional studies on fractional integral inequalities involving Riemann-Liouville operators, readers may refer to [11][12][13][14][15] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%