Mathematical Problems in Engineering 
Volume 2003 (2003), Issue 3, Pages 103-118
doi:10.1155/S1024123X03207018

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

Abstract

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.