New midpoint type inequalities for generalized fractional integral

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Budak H., Kara H., Kapucu R.

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, no.1, pp.93-108, 2022 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2022
• Doi Number: 10.22034/cmde.2020.40684.1772
• Journal Name: COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
• Page Numbers: pp.93-108
• Kocaeli University Affiliated: No

Abstract

In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results.