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We have developed a novel fractional-order W transform, which is a generalization of the standard W transform. The fractional-order W transform combines the merits of the fractional-order Fourier transform and the W transform. The introduction of parameters introduces rotation of the time-frequency plane. The optimal choice of the fractional parameter is based on the maximum of kurtosis and the choice of and are based on maximum concentration measure. In the manuscript, the inverse frational-order W transform is also derived in the manuscript. Numerical experiments on synthetic and field seismic data indicates the validity and effectiveness of the proposed algorithm.