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Ibrahim, R. W., Jalab, H. A.. (1394). Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method. , 39(3), 243-251. doi: 10.22099/ijsts.2015.3147
R. W. Ibrahim; H. A. Jalab. "Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method". , 39, 3, 1394, 243-251. doi: 10.22099/ijsts.2015.3147
Ibrahim, R. W., Jalab, H. A.. (1394). 'Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method', , 39(3), pp. 243-251. doi: 10.22099/ijsts.2015.3147
Ibrahim, R. W., Jalab, H. A.. Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method. , 1394; 39(3): 243-251. doi: 10.22099/ijsts.2015.3147

Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method

Iranian Journal of Science
مقاله 1، دوره 39، شماره 3، آذر 2015، صفحه 243-251    اصل مقاله (1.04 M)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3147
نویسندگان
R. W. Ibrahim* ؛ H. A. Jalab
Faculty of Computer Science and Information Technology, University Malaya, 50603, Malaysia
چکیده
 
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.
کلیدواژه‌ها
Fractional calculus؛ fractional differential equations؛ fractional differential operator؛ analytic function
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