AIMS Mathematics (Feb 2021)

Estimation of generalized fractional integral operators with nonsingular function as a kernel

  • Iqra Nayab,
  • Shahid Mubeen,
  • Rana Safdar Ali,
  • Gauhar Rahman,
  • Abdel-Haleem Abdel-Aty,
  • Emad E. Mahmoud,
  • Kottakkaran Sooppy Nisar

DOI
https://doi.org/10.3934/math.2021266
Journal volume & issue
Vol. 6, no. 5
pp. 4492 – 4506

Abstract

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Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and develop some important special cases which are connected with fractional operators in fractional calculus. Here, we construct important links to familiar findings from some individual occurrence with our key outcomes.

Keywords