A meshless method for solving two-dimensional distributed-order time-fractional cable equation

In this paper, a meshless method is proposed for solving two-dimensional distributed-order time-fractional cable equation. This method uses the basis functions that constructed by Gauss kernel as shape functions. Then we introduce the minimum residual approximate solution to get approximate solution and provide error estimation under the condition of well-posed equations. Finally, we provide two numerical examples to verify the accuracy of our method.