一类求解非线性分数阶Fredholm积分方程组的方法

Solving the systems of nonlinear fractional Fredholm integral equations

采用具有紧支集的线性半正交B样条小波配置方法求解第二类非线性分数阶Fredholm积分方程组.从理论上证明方程组的解存在并且唯一,进而说明该方法的可行性和实用性.

In this paper,the linear semi-orthogonal B-spline wavelet collocation method with compact support set is used to solve the second kind of the systems of nonlinear fractional Fredholm integral equations.The existence and uniqueness of the solutions of the systems of equations are proved theoretically,that shows the feasibility and practicability of the proposed method.