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 |
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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