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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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Abstract

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.

Peer review status:UNDER REVIEW

18 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
19 Apr 2021Assigned to Editor
19 Apr 2021Submission Checks Completed
26 May 2021Reviewer(s) Assigned