Abstract
In this paper, the solution of special type Voltra integral equations with single nuclei is studied. We will also consider Abelian nuclei. We will show the efficiency and simplicity of the proposed method by providing a few examples. Keywords: Integral equations, Voltra of the first type, Single cores.
Highlights
Each continuous answer of g x from 1, holds for 0 x a in Voltra equations of the first type are one of the most common 2
Integral equations have many applications in science and engineering which can be used to solve differential equations sometimes these equation apply to practical problems such as earthquakes, medicine, engineering, like the Abel mechanical problem are considered as mathematical models of the problem
In the method mentioned in this article, in addition to the efficiency of the method for these equations, tis simplicity was shown by several examples
Summary
Fields of research It has continued and challenged many researchers. Obtain computational answers for them It has many difficulties and suffering that are due to the nature of the problem, but sometimes there are windows of hope can be found to solve them. Let k x, t not be zero at any point in the interval 0, a , In this article, we intend to solve one of the specific situations under certain conditions despite its simplicity, it has many applications. X 0 , Derivation of (2) is sometimes useful. Derived from x , we have from 1 :. We consider a special, important but useful and widely used case of this. We assume that the kernel vi is single
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