• Title of article

    Mittag-Lefflers Function and Stochastic Linear Volterra Equations of Convolution Type

  • Author/Authors

    Bonaccorsi، S. نويسنده , , Tubaro، L. نويسنده ,

  • Pages
    -60
  • From page
    61
  • To page
    0
  • Abstract
    We consider the class of stochastic linear Volterra equations of convolution type defined by fractional integration kernels g (t)={ 1 ( ) }t -1, (0,2). Using an explicit formula for the scalar resolvent function, we establish the basic properties of the tochastic convolution process WS. Our formulas are given in terms of the Mittag-Lefflerʹs function
  • Keywords
    Number of real zeros , Random algebraic polynomial , Expected density , Gaussian coefficients , Secondary 60G99 , Primary 60H42
  • Journal title
    Astroparticle Physics
  • Record number

    65557