Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems

By Chengbo Zhai, Mengru Hao. 2012

93 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e7f6f83caa623c3380a14ae6b4df730df8b0c410

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Lishan Liu
2. Yonghong Wu
3. John R. Graef
4. Qingkai Kong
5. Min Wang
6. Xinqiu Zhang
7. Juan Jiang
8. Lingju Kong

In Geometry and Topology

1. Lishan Liu
2. Yonghong Wu
3. Xinqiu Zhang
4. Juan Jiang
5. John R. Graef
6. Lingju Kong

In Modeling and Simulation

1. Lishan Liu
2. Yonghong Wu
3. Xinqiu Zhang
4. Juan Jiang
5. John R. Graef
6. Xinguang Zhang
7. Yujun Cui

Citations in the corpus

• The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems (2016, methodology): “In [28], using the fixed point theorem of mixed monotone operators, Zhai and Hao studied the existence and uniqueness of positive solutions to the following operator equation in Banach spaces E”
• Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions (2012, background): “In addition to BVPs for ordinary differential equations, fractional differential inclusions [6, 7, 8], fractional integro-differential equations [2], fractional partial differential equations [3], and the numerical solution of such problems [12] are gaining increasing attention in the literature.”