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Browsing by Author "Altameemi, Ali"

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    Master Thesis
    Volterra type integral equations
    (2015) Altameemi, Ali
    It is truism that, Volterra integral equations have many applications in various disciplines of sciences. Therefor, these equations have been attracted the attention of a huge number of mathematicians and scientists who work in the areas in which these equations appear. Hence, it is worth of note to study these equations from theoretical and computational points of views. Because of the significance and broadly usage of these equations in numerous fields of mathematics. So, in this thesis, the first and the second kind of Volterra integral equations have been defined. The uniqueness theorems of these equations are discussed by using the fixed point theory. Many methods to solve linear as well as nonlinear Volterra integral equations are being considered. Then, methods of solving systems of such equations are also mentioned. In addition to the above mentioned, an attention is paid to the singular Abel Volterra integral equation.