Mathematical Problems in Engineering
Volume 2003 (2003), Issue 3, Pages 103-118
Analytical investigations of the Sumudu transform
and applications to integral production equations
1Faculty of Information Technology, Arab Open University, Block 3, Street 7, No. 37, P.O. Box 3322, Safat 13033, Kuwait
2Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Received 16 July 2002; Revised 8 October 2002
Copyright © 2003 Fethi Bin Muhammed Belgacem et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The Sumudu transform, whose fundamental properties are
presented in this paper, is little known and not widely used.
However, being the theoretical dual to the Laplace
transform, the Sumudu transform rivals it in problem solving.
Having scale and unit-preserving properties, the Sumudu transform
may be used to solve problems without resorting to a new
frequency domain. Here, we use it to solve an integral