Faculty of Computer Science and Information Technology, University Malaya, 50603, Malaysia
The complex-step derivative approximation is applied to compute numerical derivatives. In this study, we propose a new formula of fractional complex-step method utilizing Jumarie definition. Based on this method, we illustrated an approximate analytic solution for the fractional Cauchy-Euler equations. Application in image denoising is imposed by introducing a new fractional mask depending on such a solution.