Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Pathway Fractional Integral Formulas Involving Extended Mittag-Leffler Functions in the Kernel

  • Rahman, Gauhar (Department of Mathematics, International Islamic University) ;
  • Nisar, Kottakkaran Sooppy (Department of Mathematics, College of Arts and Science-Wadi Al dawser, 11991, Prince Sattam bin Abdulaziz University) ;
  • Choi, Junesang (Department of Mathematics, Dongguk University) ;
  • Mubeen, Shahid (Department of Mathematics, University of Sargodha) ;
  • Arshad, Muhammad (Department of Mathematics, International Islamic University)
  • Received : 2017.01.23
  • Accepted : 2017.09.29
  • Published : 2019.03.23
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Abstract

Since the Mittag-Leffler function was introduced in 1903, a variety of extensions and generalizations with diverse applications have been presented and investigated. In this paper, we aim to introduce some presumably new and remarkably different extensions of the Mittag-Leffler function, and use these to present the pathway fractional integral formulas. We point out relevant connections of some particular cases of our main results with known results.

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References

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