ON SOME APPLICATIONS OF A NEW INTEGRAL TRANSFORM

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A NOTE ON THE SUMUDU TRANSFORMS AND DIFFERENTIAL EQUATIONS (2010, methodology): “Further in [5], the Sumudu transform was extended to the distributions and some of their properties were studied.”
The Intrinsic Structure and Properties of Laplace-Typed Integral Transforms (2017, methodology): “As an application, Agwa et al. [9] deal with Sumudu transform on time scales and its applications, Eltayeb and Kilicman [10] have checked some applications of Sumudu one, and Eltayeb et al. are highlighting the importance of fractional operators of integral transform and their applications in [11].”
Application of New Transform "Elzaki Transform" to Partial Differential Equations (2011, unknown): “Application of New Transform 69 Example IV: Consider the homogeneous heat equation in one dimension in a normalized form: ( ) 4 , ,0 sin , , 0 2 t xx u u u x x x t π = = > (10) By using the ELzaki transform for Eq ( ) 10 We can obtain ( ) ( ) 2 , 4 , 4 sin 2 vT x v T x v v x π ′′ − = −”