ON SUMUDU TRANSFORMS AND THEIR APPLICATION TO SOME INITIAL VALUE PROBLEMS
In this paper, we derive some values of the Sumudu transform of some special functions and discuss solvability of some initial value problems by a Sumudu transform technique. We give the generalization of the defined integral in a class of generalized functions. The new well defined integral is linear in the generalized spaces. More results are also established.
Sumudu transform, initial value problem, generalized function, Boehmian.