Several new integral inequalities via Caputo fractional integral operators

ÖZDEMİR M. E., Butt S. I., Ekinci A., Nadeem M.

FILOMAT, vol.37, no.6, pp.1843-1854, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 6
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2306843e
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.1843-1854
  • Keywords: Caputo-Fractional integral, Convex function, Hermite – Hadamard inequality, Hölder inequality, Quasi – convex, s−convex, s−Godunova –Levin type
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we establish several new integral inequalities including Caputo fractional derivatives for quasi-convex, s-Godunova-Levin convex. In order to obtain our results, we have used fairly elementary methodology by using the classical inequalities such that Holder inequality, Power mean inequality and Weighted Holder inequality. This work is motivated by Farid et al in [17]. Especially we aim to obtain inequalities involving only right-sided Caputo-fractional derivative of order alpha.