Fredholm-Volterra integral equation of the first kind with potential kernel

  • M. H. Fahmy
  • M. A. Abdou
  • E. I. Deebs
Keywords: Fredholm-Volterra integral equation, Potential kernel, Krein's method, Pochhmmer symbol, Generalized hypergeometric series, Weber-Sonin integral formula

Abstract

A series method is used to separate the variables of position and time for the Fredholm-Volterra integral equation of the first kind and the solution of the system in L_2 [0,1] × C[0,T], 0 ≤ t ≤ T < ∞ is obtained, the Fredholm integral equation is discussed using Krein's method. The kernel is written in a Legendre polynomial form. Some important relations are also, established and discussed.
Published
2001-11-01
Section
Articoli