Advances in Differential Equations and Control Processes
Volume 17, Issue 4, Pages 285 - 300
(November 2016) http://dx.doi.org/10.17654/DE017040285 |
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ON SUMUDU TRANSFORMS AND THEIR APPLICATION TO SOME INITIAL VALUE PROBLEMS
Ammar Issa, Shrideh Al-Omari, Mohammad Naser and Shadi Al-Shawaqfeh
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Abstract: 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. |
Keywords and phrases: Sumudu transform, initial value problem, generalized function, Boehmian. |
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