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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.

45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
44A35 Convolution as an integral transform
44A10 Laplace transform
Full Text: DOI
[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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