一类非线性分数阶积分微分方程解的存在性与模拟仿真

Existence and Simulation of Solutions for a Class of Nonlinear Fractional Integro-Differential Equations

首先,用Banach压缩映射原理和Krasnoselskii不动点定理研究一类非线性分数阶积分微分方程解的存在性,得到了其至少存在一个解和存在唯一解的结果;其次,通过迭代法对两个实例进行模拟仿真验证所得结果.

Firstly,by using the Banach contraction principle and Krasnoselskii fixed point theorem,we studied the existence of solutions for a class of nonlinear fractional integro-differential equations,and obtained the result that there was at least one solution and there was a unique solution.Secondly,two examples were simulated by using the iterative method to verify the results.