AIMS Mathematics (Jul 2021)

Generalized proportional fractional integral inequalities for convex functions

  • Majid K. Neamah,
  • Alawiah Ibrahim

DOI
https://doi.org/10.3934/math.2021625
Journal volume & issue
Vol. 6, no. 10
pp. 10765 – 10777

Abstract

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In this paper, we establish some inequalities for convex functions by applying the generalized proportional fractional integral. Some new results by using the linkage between the proportional fractional integral and the Riemann-Liouville fractional integral are obtained. Moreover, we give special cases of our reported results. Obtained results provide generalizations for some of the current results in the literature by applying some special values to the parameters.

Keywords