Mathematical Problems in Engineering
Volume 2003 (2003), Issue 3, Pages 103-118

Analytical investigations of the Sumudu transform and applications to integral production equations

Fethi Bin Muhammed Belgacem,1 Ahmed Abdullatif Karaballi,2 and Shyam L. Kalla2

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 production-depreciation problem.