Opial-type Inequalities for Generalized Integral Operators With Special Kernels in Fractional Calculus

Authors

  • Muhammad Samraiz Department of Mathematics, University of Sargodha, Sargodha
  • Muhammad Arslan Afzal Department of Mathematics, University of Sargodha, Sargodha
  • Sajid Iqbal Department of Mathematics, University of Sargodha (sub-campus Bhakkar), Bhakkar
  • Artion Kashuri Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora

DOI:

https://doi.org/10.26713/cma.v9i3.831

Keywords:

Opial-type inequalities, Generalized Riemann-Liouville fractional integral operator, Riemann-Liouville \(k\)-fractional integral, \((k, r)\) fractional integral of the Riemann-type

Abstract

In this article, we originate some new Opial-type inequalities on fractional calculus involving generalized Riemann-Liouville fractional integral, the Riemann-Liouville \(k\)-fractional integral, the \((k,r)\) fractional integral of the Riemann-type and the generalized fractional integral operator involving Hypergeometric function in its kernel. As special case of our general results we obtain the results of Farid et al. [7].

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References

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Published

25-09-2018
CITATION

How to Cite

Samraiz, M., Afzal, M. A., Iqbal, S., & Kashuri, A. (2018). Opial-type Inequalities for Generalized Integral Operators With Special Kernels in Fractional Calculus. Communications in Mathematics and Applications, 9(3), 421–431. https://doi.org/10.26713/cma.v9i3.831

Issue

Vol. 9 No. 3 (2018)

Section

Research Article

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