• Title of article

    Foundations of nabla fractional calculus on time scales and inequalities

  • Author/Authors

    George A. Anastassiou، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2010
  • Pages
    13
  • From page
    3750
  • To page
    3762
  • Abstract
    Here we develop the nabla fractional calculus on time scales. Then we produce related integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert Pachpatte. Finally we give inequality applications on the time scales R, Z.
  • Keywords
    Fractional calculus on time scales , Nabla Poincaré inequality , Nabla Opial inequalities , Nabla Ostrowski inequality , Fractional inequalities , Nabla Hilbert–Pachpatte inequality , Nabla Sobolev inequality
  • Journal title
    Computers and Mathematics with Applications
  • Serial Year
    2010
  • Journal title
    Computers and Mathematics with Applications
  • Record number

    921505