Abstract:

In this paper, we study multi-dimensional wave-like equations with variable coefficients within the frame of the fractional calculus using fractional natural decomposition method (FNDM). The considered algorithm is an elegant combination of natural transform and decomposition scheme. Five different cases are considered to illustrate and validate the competence of the projected technique in the present framework. The behaviours of the obtained results have been captured for diverse fractional order. To present the reliability and exactness of the FNDM, the numerical study has been presented. The achieved consequences illuminate that, the projected technique is very effective to analyse and easy to employ to investigate the nature of fractional nonlinear coupled system exemplifying the real-world problems.

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