title: Key to Fractions: Reproducible Tests, Books 1 - 4
author:  Steven Rassmussen 
description: Key to Fractions Books 1-4 reproducible tests. Format: PaperbackPublisher: Key Curriculum PressISBN: 0-913684-96-1
zlib_text: mathematics
  Article
  Certain Hadamard Proportional Fractional
  Integral Inequalities
  Gauhar Rahman 1
  , Kottakkaran Sooppy Nisar 2,*
  and Thabet Abdeljawad 3,4,5,*
  1
  Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan;
  gauhar55uom@gmail.com
  2
  Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University,
  Wadi Aldawaser 11991, Saudi Arabia
  3
  Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
  4
  Department of Medical Research, China Medical University, Taichung 40402, Taiwan
  5
  Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan
  *
  Correspondence: n.sooppy@psau.edu.sa or ksnisar1@gmail.com (K.S.N.); tabdeljawad@psu.edu.sa (T.A.)
  Received: 4 March 2020; Accepted: 29 March 2020; Published: 2 April 2020
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  Abstract: In this present paper we study the non-local Hadmard proportional integrals recently
  propos