Existence of Monotone Positive Solution for BVP of Nonlinear Fractional Differential Equation

YUE Jun-rui, BAI Qing-yue

doi:10.13371/j.cnki.chin.q.j.m.2020.04.009

Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 4: 410 - 417

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.04.009

Existence of Monotone Positive Solution for BVP of Nonlinear Fractional Differential Equation

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Computer Information Engineering Institute, Shanxi Technology and Business College, Taiyuan
030006, China

YUE Jun-rui(1989-), female, native of Xinzhou, Shanxi, lecturer of Shanxi Technology and Business College, engages in differential equation.

Received date: 2020-08-08

Online published: 2021-01-06

Supported by

Supported by Teaching Reform Project of Higher Education Institutions in Shanxi (Grant No. J2020417).

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Abstract

In this paper, we consider a class of nonlinear fractional differential equation boundary value problem. The existence of monotone positive solution is derived by the iterative technique.

Key words： Fractional differential equation; Boundary value problem; Monotone positive solution; Existence; Iterative technique

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YUE Jun-rui, BAI Qing-yue . Existence of Monotone Positive Solution for BVP of Nonlinear Fractional Differential Equation[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(4) : 410 -417 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.04.009

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