New existence results of positive solution for a class of nonlinear fractional differential equations |
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| Authors: | Nan LI Changyou WANG |
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| Institution: | 1. Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China;2. College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| Abstract: | In this article, the existence and uniqueness of positive solution for a class of nonlinear fractional differential equations is proved by constructing the upper and lower control functions of the nonlinear term without any monotone requirement. Our main method to the problem is the method of upper and lower solutions and Schauder fixed point theorem. Finally, we give an example to illuminate our results. |
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| Keywords: | Fractional differential equations positive solution upper and lower solutions existence and uniqueness fixed point theorem |
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