Caputo型分数阶微积分求解及其误差估计

Algorithm and Error Estimate on the Fractional Differential Equation With Caputo Derivative

研究Caputo型分数阶微分函数的正解情况,考察其正解的唯一性问题,进而研究其数值求解的误差估计,所得结果拓展了Wyss的研究成果.

The development speed of the reactional differential equation is slow due to the application nonlocality and the calculative complexity. In this paper, we will discuss the positive solution to the fractional differential equation with Ca- puto derivative based on the current research. Then we also study the uniqueness of the solution and discern the deviation comparing with numerical solution. The paper expands Wyss＇ research and conclusion.