• Title of article

    The extended Mittag-Leffler function via fractional calculus

  • Author/Authors

    Rahman ، Gauhar - International Islamic University , Baleanu ، Dumitru - Cankaya University , Al Qurashi ، Maysaa - King Saud University , Purohit ، Sunil Dutt - Rajasthan Technical University , Mubeen ، Shahid - University of Sargodha , Arshad ، Muhammad - International Islamic University

  • Pages
    10
  • From page
    4244
  • To page
    4253
  • Abstract
    In this study, our main attempt is to introduce fractional calculus (fractional integral and differential) operators which contain the following new family of extended Mittag-Leffler function: [Mathematical formula]. as its kernel. We also investigate a certain number of their consequences containing the said function in their kernels.
  • Keywords
    Fractional integration , differential operator , Mittag , Leffler function , Lebesgue measurable function , extended Mittag , Leffler function
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2017
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2476795