Abstract fractional Cauchy problems with almost sectorial operators

By Rong-Nian Wang, De-Han Chen, Ti‐Jun Xiao. 2012

338 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d9c3bc1dc6fe14009c1359bd777c4d663102ca9b

How researchers see this paper

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

In Applied Mathematics

1. Yongxiang Li
2. Jinrong Wang
3. Pengyu Chen
4. Michal Feckan
5. Nazim Idrisoglu Mahmudov
6. Yong Zhou
7. Xuping Zhang
8. Min Yang

In Modeling and Simulation

1. Jinrong Wang
2. Yongxiang Li
3. Michal Feckan
4. Pengyu Chen
5. Nazim Idrisoglu Mahmudov
6. Yong Zhou
7. Xuping Zhang
8. Min Yang

In Numerical Analysis

1. Jinrong Wang
2. Michal Feckan
3. Yongxiang Li
4. Yong Zhou
5. Nazim Idrisoglu Mahmudov
6. Pengyu Chen
7. C. Neto
8. P. de

Citations in the corpus

• Abstract Cauchy problem for fractional differential equations (2013, neutral): “[15–19], Zhang [20], and Zhou et al.”
• Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions (2017, background): “We can refer to [1, 2, 4, 13, 25]–[27, 29]–[36] for more details of the theory and applications in this field.”
• Fractional differential equations: a novel study of local and global solutions in Banach spaces (2013, methodology): “The following result can also be found in [66].”
• Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces (2013, background): “Recently, the existence of mild solutions and stability and (approximate) controllability of (fractional) semilinear evolution system in Banach spaces have been reported by many researchers; see [2–36].”
• 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”
• Existence of mild solution for evolution equation with Hilfer fractional derivative (2015, background): “Wang [26] researched the abstract fractional Cauchy problem with almost sectorial operators.”