%0 Journal Article %T Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method %J Iranian Journal of Science %I Springer %Z 2731-8095 %A Ibrahim, R. W. %A Jalab, H. A. %D 2015 %\ 09/06/2015 %V 39 %N 3 %P 243-251 %! Image denoising based on approximate solution of fractional Cauchy-Euler equation by using complex-step method %K Fractional calculus %K fractional differential equations %K fractional differential operator %K analytic function %R 10.22099/ijsts.2015.3147 %X   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. %U https://ijsts.shirazu.ac.ir/article_3147_1d97c3173b0d886bd12035f96bba7e45.pdf