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.
Ibrahim, R. W., & Jalab, H. A. (2015). Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method. Iranian Journal of Science, 39(3), 243-251. doi: 10.22099/ijsts.2015.3147
MLA
R. W. Ibrahim; H. A. Jalab. "Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method", Iranian Journal of Science, 39, 3, 2015, 243-251. doi: 10.22099/ijsts.2015.3147
HARVARD
Ibrahim, R. W., Jalab, H. A. (2015). 'Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method', Iranian Journal of Science, 39(3), pp. 243-251. doi: 10.22099/ijsts.2015.3147
VANCOUVER
Ibrahim, R. W., Jalab, H. A. Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method. Iranian Journal of Science, 2015; 39(3): 243-251. doi: 10.22099/ijsts.2015.3147
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