The solution of the first kind linear volterra integral equations with different transform methods

In this thesis, 4 methods are presented to solve linear Volterra integral transform of the same type and order. In the solution of the first kind linear Volterra Integral Equation, difference kernel Laplace Transform Method, -Transform Method, Elzaki Transform Method and Sumudu Transform Methods were used. Convolution theorem is used for Laplace transform, -Transform, Elzaki Transform and Sumudu Transform. In addition, transform tables were used. Then, the solutions of the first kind linear Volterra integral equations are provided through transforms. The first kind linear Volterra integral equations are discussed and their solutions are provided with 4 different transform. It has been observed that Laplace Transform method, Elzaki Transform method, -Transform method and Sumudu Transform methods are an effective method for solving the first kind Volterra integral equations. Keywords: Integral equations Volterra Integral equations, LaplaceTransform, Sumudu Transform, -Transform, Elzaki Transform, Convolution theorem