Abstract

The object of this paper is to present an extension of the classical Hadamard fractional integral. We will establish some new results of generalized fractional inequalities.

Highlights

  • The object of this paper is to present an extension of the classical Hadamard fractional integral

  • It is important to note that the integral inequalities play a basic role in statistics, mathematics, sciences, and technology (SMST)

  • The formation of fractional calculus has straight impact on the theory utilizing the solution of various spaces in SMST and to prove its efficacy, various statements and applications of fractional derivatives have been constructed

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Summary

Introduction

It is important to note that the integral inequalities play a basic role in statistics, mathematics, sciences, and technology (SMST). We will establish some new results of generalized fractional inequalities. As in [27–32], for a function gðvÞ ∈ L1ð1⁄2α, βŠÞ, the Hadamard fractional integral of order κ ≥ 0 is given as follows: HI κα1⁄2gðvފ =

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