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Sumudu transform and the solution of integral equations of convolution type. (English) Zbl 1008.45003
Summary: The convolution theorem for the Sumudu transform of a function which can be expressed as a polynomial or a convergent infinite series is proved and its applicability demonstrated in solving convolution type integral equations.

##### MSC:
 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 44A35 Convolution as an integral transform 44A10 Laplace transform
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##### References:
 [1] MILES J. W., Integral Transforms in Applied Mathematics (1971) · Zbl 0226.44001 [2] SNEDDON I. N., The Use of Integral Transform (1972) · Zbl 0237.44001 [3] SPIEGEL M. R., Schaum’s Outline of Theory and Problems of Advanced Calculus (1974) [4] STEPHENSON G., Mathematical Methods far Science Students (1973) [5] WATSON E. J., Laplace Transforms and Applications (1981) · Zbl 0453.44007 [6] DOI: 10.1080/0020739930240105 · Zbl 0768.44003 · doi:10.1080/0020739930240105 [7] DOI: 10.1080/0020739940250214 · Zbl 0812.35004 · doi:10.1080/0020739940250214
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