Please note that the content of this book primarily consists of articles
available from Wikipedia or other free sources online. In mathematics,
the Sumudu transform, is an integral transform similar to the Laplace
transform, introduced in the early 1990s by Gamage K. Watugala to solve
differential equations and control engineering problems. It is
equivalent to the Laplace-Carson transform with the substitution p =
1/u. Sumudu is a Sinhala word, meaning "smooth".The Sumudu transform of
a function f(t), defined for all real numbers t ¿ 0, is the function
Fs(u), defined by: S\{f(t)\} = F_s(u) = \int_0^\infty
(1/u)e^{-t/u}f(t)\,dt.\qquad(1). Watugala first advocated the transform
as an alternative to the standard Laplace transform, and gave it the
name Sumudu transform.
