M. A. Abdou, A. A. El-Bary, "Fredholm-Volterra integral equation with potential kernel", International Journal of Mathematics and Mathematical Sciences, vol. 26, Article ID 838126, 10 pages, 2001. https://doi.org/10.1155/S0161171201005981
Fredholm-Volterra integral equation with potential kernel
A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space , , , and . The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class , while the kernel of Volterra integral term is a positive and continuous function that belongs to the class . Also in this work the solution of Fredholm integral equation of the second and first kind with a potential kernel is discussed. Many interesting cases are derived and established in the paper.
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