Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions

By Pengyu Chen, Yongxiang Li. Zeitschrift für Angewandte Mathematik und Physik, 2013

64 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/ae72e9af1aac8b83a26b8c1ab3fc4f7d1138f247

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In Applied Mathematics

1. Yongxiang Li
2. Pengyu Chen
3. Xuping Zhang
4. Lishan Liu
5. Yonghong Wu
6. Xinguang Zhang
7. Yujun Cui

In Modeling and Simulation

1. Yongxiang Li
2. Pengyu Chen
3. Xuping Zhang
4. Lishan Liu
5. Yonghong Wu
6. Xinguang Zhang
7. Yujun Cui

Citations in the corpus

• A blowup alternative result for fractional nonautonomous evolution equation of Volterra type (2018, background): “For more details, see [2, 4, 6, 8, 9, 11, 12], [18]-[22], [28]-[32] and the references therein for more comments and citations.”
• Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators (2020, background): “Since fractional order semilinear evolution equations are abstract formulations for many problems arising in engineering and physics, fractional evolution equations have attracted a large amount of attention in recent years, see [9, 13, 14, 15, 17, 19, 22, 23, 27, 28, 40, 41, 43, 44, 45, 48, 51] and”
• Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations (2017, background): “In ([8, 17, 18, 20, 27, 28, 37, 39, 40]), the authors discussed the existence of solutions for various nonlinear differential equations or partial differential equations by measure of noncompactness and fixed point theorems, while in ([9, 10, 11, 13]) the authors investigated the existence of soluti”