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

Authors

  • 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.

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Published

2001-11-01

Issue

Vol. 55 No. 1 (2000)

Section

Articoli

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