In this paper, we investigate the Sumudu-Ezaki transform (S-ET) for solving partial differential equations and integral differential equations. The relationship between the (S-ET) is obtained. Most theorems that deal with elegant properties of the (S-ET) are investigated. The convolution of two functions and the convolution theorem were discussed. Also, we investigate the existence condition of the computational method. Finally, illustrative problems are included to demonstrate the validity and applicability of the proposed technique.

Topics
Computational methods, Fourier analysis, Integro-differential equation, Partial differential equations
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