New fractional inequalities for Convexities and pre-invexities in aspects of Atangana-Baleanu fractional operators

Authors

  • Rana Safdar Ali Department of Mathematics and Statistics, The University of Lahore, Sargodha 40100, Pakistan
  • Sabila Ali Government Women College Joharabad, Punjab, Pakistan
  • Wajid Iqbal Department of Mathematics and Statistics, The University of Lahore, Sargodha 40100, Pakistan
  • Naila Talib Department of Mathematics and Statistics, The University of Lahore, Sargodha 40100, Pakistan
  • Humira saif Government Women College Joharabad, Punjab, Pakistan
  • Saima Batool University of Agriculture Faisalabad, Faisalabad, Pakistan

Abstract

This paper presents the innovative idea to obtain the improve version of well known inequalities for different type of convexities and pre-invexities by Atangana-Baleanu (AB) fractionaloperators. We establish the fractional inequalities for h-Godunova Levin function, defined by Ohud Almutairi and Adem Kili¸cman with the AB-operators. Moreover, we discuss the significant behavior of Hermite-Hadamard type fractional integral inequalities to the ABfractional operator and discuss its applications.

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Published

2022-06-30

How to Cite

Ali, R. S., Ali, S., Iqbal, W., Talib, N., saif, H., & Batool, S. (2022). New fractional inequalities for Convexities and pre-invexities in aspects of Atangana-Baleanu fractional operators. International Journal of Advancements in Mathematics, 2(1), 19–32. Retrieved from https://www.scienceimpactpub.com/journals/index.php/IJAM/article/view/544