POSITIVE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE

Yongqing Wang; Yonghong Wu

doi:10.11948/20190356

2020 Volume 10 Issue 6

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Yongqing Wang, Yonghong Wu. POSITIVE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2459-2475. doi: 10.11948/20190356

Citation:

Yongqing Wang, Yonghong Wu. POSITIVE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2459-2475. doi: 10.11948/20190356

POSITIVE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE

Yongqing Wang^1, ,,
Yonghong Wu²

1.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
2.
Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia

Corresponding author: Email address:wyqing9801@163.com(Y. Wang)
Fund Project: The authors were supported by the Natural Science Foundation of Shandong Province of China (ZR2017MA036), the National Natural Science Foundation of China (11871302), a Project of Shandong Province Higher Educational Science and Technology Program (J18KA217) and the International Cooperation Program of Key Professors by Qufu Normal University

Abstract

Abstract

In this article, we study a class of fractional differential equations with resonant boundary value conditions. Some sufficient conditions for the existence of positive solutions are considered by means of the spectral theory of linear operator and the fixed point index theory.
- Fractional differential equation /
- resonance /
- fixed point index /
- positive solution
MSC: 26A33, 34B15

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References

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