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Ditkin, V.A. and Prudnikov, A.P. (1962) Operational Calculus in Two Variables and Its Applications. Pergaman Press, New York. (English Translation from Russian)

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• TITLE: A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations

  AUTHORS: Hamood Ur Rehman, Muzammal Iftikhar, Shoaib Saleem, Muhammad Younis, Abdul Mueed

  KEYWORDS: Quadruple Laplace Transform, Exact Solution, Convolution, Partial Differential Equation, Homogeneous and Non-Homogeneous Problems

  JOURNAL NAME: Applied Mathematics, Vol.5 No.21, December 5, 2014

  ABSTRACT: In this paper, we proposed new results in quadruple Laplace transform and proved some properties concerned with quadruple Laplace transform. We also developed some applications based on these results and solved homogeneous as well as non-homogeneous partial differential equations involving four variables. The performance of quadruple Laplace transform is shown to be very encouraging by concrete examples. An elementary table of quadruple Laplace transform is also provided.