k $-Fractional inequalities associated with a generalized convexity

The aim of this paper is to present the bounds of $ k $-fractional integrals containing the Mittag-Leffler function. For establishing these bounds, a generalized convexity namely strongly exponentially $ (\alpha, h-m)-p $-convexity is utilized. The results of this article provide many new fractional...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 12; pp. 28540 - 28557
Main Authors Saddiqa, Maryam, Ullah, Saleem, Tawfiq, Ferdous M. O., Ro, Jong-Suk, Farid, Ghulam, Zainab, Saira
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
convex function
generalized fractional integrals
h-m)-p $-convex function
mittag-leffler function
strongly exponentially $ (\alpha
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ISSN2473-6988
2473-6988
DOI10.3934/math.20231460

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Summary:The aim of this paper is to present the bounds of $ k $-fractional integrals containing the Mittag-Leffler function. For establishing these bounds, a generalized convexity namely strongly exponentially $ (\alpha, h-m)-p $-convexity is utilized. The results of this article provide many new fractional inequalities for several types of fractional integrals and various kinds of convexities. Moreover, an identity is established which helps in proving a Hadamard type inequality.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231460