Monotone iterative technique for nonlinear differential equation of
fractional order
- Zhengzhi Lu,
- Li Yongjun,
- Xiaoyan Shi
Xiaoyan Shi
Southwestern University of Finance and Economics
Author ProfileAbstract
In this paper, we mainly study the existence of solution of fractional
differential equations. Firstly, the existence of the maxmum solution
and minmum solution of the differential equation are proved by using the
fixed point theorem and the monotone iteration method. Secondly, the
existence of the solution of the original equation is proved by using
the newly constructed differential equation. Finally, the application of
the monotone iteration method is given through an example.