Gaussian-Radial Basis Functions for Solving Fractional Parabolic Partial Integro-Differential

In this paper, we solve the Caputo's fractional parabolic par- tial integro-dierential equations (FPPI-DEs) by Gaussian-radial basis functions (G-RBFs) method. The main idea for solving these equations is based on the radial basis functions (RBFs) which also provides ap- proaches to higher dimensional spaces. In the suggested method, FPPI- DEs are reduced to nonlinear algebraic systems. We propose to apply the collocation scheme using G-RBFs to approximate the solutions of FPPI-DEs. Numerical examples are provided to show the convenience of the numerical scheme based on the G-RBFs. The results reveal that the presented method is very ecient and convenient for solving such problems.