Mohsen Esmaeilbeigi

Department of Mathematics, Faculty of Mathematics Science and Statistics, Malayer University, Malayer 65719-95863, Iran

[ 1 ] - Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method

In this paper, we propose the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo's H-differentiability sense with order ($1< nu < 2$). We define the fuzzy Caputo's H-differentiability sense with order $nu$ ($1< nu < 2$), and employ the collocation RBF method for upper and lower approximate solutions. ...

[ 2 ] - A new trust-region algorithm based on radial basis function interpolation

Optimization using radial basis functions as an interpolation tool in trust-region (ORBIT), is a derivative-free framework based on fully linear models to solve unconstrained local optimization, especially when the function evaluations are computationally expensive. This algorithm stores the interpolation points and function values to using at subsequent iterations. Despite the comparatively ad...