Laplace decomposition for solving nonlinear system of fractional order partial differential equations

By Hassan Khan, Rasool Shah, Poom Kumam, Dumitru Băleanu, M. Arif. 2020

61 citations recorded by the source corpus.

In the present article a modified decomposition method is implemented to solve systems of partial differential equations of fractional-order derivatives. The derivatives of fractional-order are expressed in terms of Caputo operator. The validity of the proposed method is analyzed through illustrative examples. The solution graphs have shown a close contact between the exact and LADM solutions. It is observed that the solutions of fractional-order problems converge towards the solution of an integer-order problem, which confirmed the reliability of the suggested technique. Due to better accuracy and straightforward implementation, the extension of the present method can be made to solve other fractional-order problems.

Subfields: Control and Systems Engineering, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e9b54b76478ecde5c3049057056fc1545e4a7eec