In this paper, double Laplace transform method is applied to find solutions of linear systems of integer and fractional order partial differential equations subject to the initial and boundary conditions. Beside this, double Laplace transform coupled with new iterative method is used to obtain solutions of nonlinear systems of partial differential equations of integer and fractional order. To demonstrate the effectiveness, several illustrative examples are considered.

double Laplace transform, inverse double Laplace transform, new iterative method, linear/nonlinear systems of partial differential equations.

Received: May 16, 2022; Accepted: July 11, 2022; Published: July 26, 2022

How to cite this article: Ranjit R. Dhunde and G. L. Waghmare, Solutions of the system of partial differential equations by double Laplace transform method, Far East Journal of Applied Mathematics 114 (2022), 1-23. http://dx.doi.org/10.17654/0972096022012

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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