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Sumudu transform fundamental properties investigations and applications. (English) Zbl 1115.44001
The authors present the Sumudu transform, cf. {\it F. B. M. Belgacem} [Nonlinear Stud. 13, No. 1, 23--41 (2006; Zbl 1102.44001)].

MSC:
44A10Laplace transform
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Full Text: DOI EuDML
References:
[1] M. A. Asiru, “Sumudu transform and the solution of integral equations of convolution type,” International Journal of Mathematical Education in Science and Technology, vol. 32, no. 6, pp. 906-910, 2001. · Zbl 1008.45003 · doi:10.1080/002073901317147870
[2] M. A. Asiru, “Further properties of the Sumudu transform and its applications,” International Journal of Mathematical Education in Science and Technology, vol. 33, no. 3, pp. 441-449, 2002. · Zbl 1013.44001 · doi:10.1080/002073902760047940
[3] M. A. Asiru, “Classroom note: application of the Sumudu transform to discrete dynamic systems,” International Journal of Mathematical Education in Science and Technology, vol. 34, no. 6, pp. 944-949, 2003. · doi:10.1080/00207390310001615499
[4] F. B. M. Belgacem, “A generalized Stirling inversion formula,” Algebras, Groups and Geometries, vol. 18, no. 1, pp. 101-114, 2001. · Zbl 1005.05003
[5] F. B. M. Belgacem, A. A. Karaballi, and S. L. Kalla, “Analytical investigations of the Sumudu transform and applications to integral production equations,” Mathematical Problems in Engineering, vol. 2003, no. 3, pp. 103-118, 2003. · Zbl 1068.44001 · doi:10.1155/S1024123X03207018 · eudml:51518
[6] L. Debnath, Integral Transforms and Their Applications, CRC Press, Florida, 1995. · Zbl 0920.44001
[7] R. Merris, “The p-Stirling numbers,” Turkish Journal of Mathematics, vol. 24, no. 4, pp. 379-399, 2000. · Zbl 0970.05003
[8] A. D. Poularikas, Ed., The Transforms and Applications Handbook, A. D. Poularikas, Ed., The Electrical Engineering Handbook Series, CRC Press, Florida, 1996. · Zbl 0851.44001
[9] M. R. Spiegel, Theory and Problems of Laplace Transforms, Schaums Outline Series, McGraw-Hill, New York, 1965.
[10] G. K. Watugala, “Sumudu transform: a new integral transform to solve differential equations and control engineering problems,” International Journal of Mathematical Education in Science and Technology, vol. 24, no. 1, pp. 35-43, 1993. · Zbl 0768.44003 · doi:10.1080/0020739930240105
[11] G. K. Watugala, “Sumudu transform-a new integral transform to solve differential equations and control engineering problems,” Mathematical Engineering in Industry, vol. 6, no. 4, pp. 319-329, 1998. · Zbl 0916.44002
[12] G. K. Watugala, “The Sumudu transform for functions of two variables,” Mathematical Engineering in Industry, vol. 8, no. 4, pp. 293-302, 2002. · Zbl 1025.44003
[13] S. Weerakoon, “Application of Sumudu transform to partial differential equations,” International Journal of Mathematical Education in Science and Technology, vol. 25, no. 2, pp. 277-283, 1994. · Zbl 0812.35004 · doi:10.1080/0020739940250214
[14] S. Weerakoon, “Complex inversion formula for Sumudu transform,” International Journal of Mathematical Education in Science and Technology, vol. 29, no. 4, pp. 618-621, 1998. · Zbl 1018.44004