An application of double Laplace transform and double Sumudu transform

DOI10.1134/S1995080209030044zbMath1223.44002OpenAlexW2012130786MaRDI QIDQ639430

Adem Kilicman, Hassan Eltayeb Gadain

Publication date: 21 September 2011

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080209030044

zbMATH Keywords

polynomial coefficientsdouble Laplace transformdouble convolutiondouble Sumudu transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Wave equation (35L05) Laplace transform (44A10)

Related Items (17)

Convolution Product and Differential and Integro: Differential Equations ⋮ On higher-order boundary value problems by using differential transformation method with convolution terms ⋮ A new calculation technique for the Laplace and Sumudu transforms by means of the variational iteration method ⋮ Conformable double Laplace transform method for solving conformable fractional partial differential equations ⋮ A study of double general transform for solving fractional partial differential equations ⋮ Towards new general double integral transform and its applications to differential equations ⋮ Adapting a new formula to generalize multidimensional transforms ⋮ Two-dimensional transport equation as Fredholm integral equation ⋮ Some remarks on the Sumudu and Laplace transforms and applications to differential equations ⋮ On a new integral transform and differential equations ⋮ Note on the wave equation and tensor products ⋮ On integral transforms and matrix functions ⋮ On double Natural transform and its applications ⋮ Note on transport equation and fractional Sumudu transform ⋮ A new integral transform and associated distributions ⋮ On Sumudu transform and system of differential equations ⋮ Unnamed Item

Cites Work

• A note on solutions of wave, Laplace's and heat equations with convolution terms by using a double Laplace transform
• A note on defining singular integral as distribution and partial differential equations with convolution term
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