Abstract. Integral transform methods have been modified to solve the several dynamic equations with initial or boundary conditions in many ways. Laplace, Sumudu and Elzaki transforms are such typical things. Among these, Elzaki transform is an efficient and novel tool. In this article, we have proposed the solution of differential equation with variable coefficients using Elzaki transform, and proved the time shifting theorem and the convolution one for Elzaki transform.

Received: March 6, 2013

AMS Subject Classification: 44A05, 44A35, 34A12

Key Words and Phrases: time shifting, variable coefficients, Laplace transform, Elzaki transform, Sumudu transform, convolution

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