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Monotone iterative technique for nonlinear differential equation of fractional order
  • Zhengzhi Lu,
  • Li Yongjun,
  • Xiaoyan Shi
Zhengzhi Lu
Lanzhou City University

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Li Yongjun
Lanzhou City University
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Xiaoyan Shi
Southwestern University of Finance and Economics
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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.