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Application of Laplace-Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional
Rasool Shah1, Hassan Khan1, Muhammad Arif1
1Department of Mathematics, Abdul Wali khan University, Mardan 23200, Pakistan.
Abstract:
In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace-Adomian decomposition method. The Caputo operator is used to define the derivative of fractional-order. Laplace-Adomian decomposition method solutions for both fractional and integer orders are obtained in series form, showing higher convergence of the proposed method. Illustrative examples are considered to confirm the validity of the present method. The fractional order solutions that are convergent to integer order solutions are also investigated.
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