Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON A CERTAIN EXTENSION OF THE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE OPERATOR

  • Nisar, Kottakkaran Sooppy (Department of Mathematics College of Arts and Science-Wadi Aldawaser 11991, Prince Sattam bin Abdulaziz University) ;
  • Rahman, Gauhar (Department of Mathematics International Islamic University) ;
  • Tomovski, Zivorad (University "St. Cyril and Methodius" Faculty of Natural Sciences and Mathematics Institute of Mathematics)
  • Received : 2018.04.06
  • Accepted : 2018.06.01
  • Published : 2019.04.30
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Abstract

The main aim of this present paper is to present a new extension of the fractional derivative operator by using the extension of beta function recently defined by Shadab et al. [19]. Moreover, we establish some results related to the newly defined modified fractional derivative operator such as Mellin transform and relations to extended hypergeometric and Appell's function via generating functions.

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References

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