대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권2호
  • /
  • Pages.507-522
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  • 2019
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2018.04.06
  • 심사 : 2018.06.01
  • 발행 : 2019.04.30
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초록

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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참고문헌

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