On the Solution of Distributional Abel Integral Equation by Distributional Sumudu Transform

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On the Solution of Distributional Abel Integral Equation by Distributional Sumudu Transform

This section deals with the definition, terminologies, and properties of the Sumudu transform and the Abel integral equation. In Section 2, solution of Abel integral equation is obtained by the application of the Sumudu transform, and in Section 3, the Sumudu transform is proved for distribution spaces, and the solution of Abel integral equation in the sense of distribution is obtained. The Sum...

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2011

ISSN: 0161-1712,1687-0425

DOI: 10.1155/2011/480528