Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators

In this paper we present variety of Hardy-type inequalities and their refinements for an extension of Riemann-Liouville fractional derivative operators. Moreover, we use an extension of extended Riemann-Liouville fractional derivative and modified extension of Riemann-Liouville fractional derivative using convex and monotone convex functions. Furthermore, mean value theorems and n-exponential convexity of the related functionals is discussed. © 2021, Kragujevac Journal of Mathematics. All rights reserved.

Authors
Iqbal S.1 , Farid G.2 , Pecaric J. 3 , Kashuri A.4
Journal
Kragujevac Journal of Mathematics
Publisher
University of Kragujevac, Faculty of Science
Number of issue
5
Language
English
Pages
797-813
Status
Published
Link
External link
DOI
10.46793/KgJMat2105.797I
Volume
45
Year
2021
Organizations
  • 1 Department of Mathematics, University of Sargodha (Sub-Campus Bhakkar), Bhakkar, Pakistan
  • 2 Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan
  • 3 RUDN University, Moscow, Russian Federation
  • 4 Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania
Keywords
convex functions; Inequalities; Riemann-Liouville fractional derivative
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76967/
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