Controllability for fractional evolution inclusions without compactness
By Yong Zhou, V. Vijayakumar, Rangasamy Murugesu. 2015
145 citations recorded by the source corpus.
In this paper, we study the existence and controllability for fractional evolution inclusions in Banach spaces. We use a new approach to obtain the existence of mild solutions and controllability results, avoiding hypotheses of compactness on the semigroup generated by the linear part and any conditions on the multivalued nonlinearity expressed in terms of measures of noncompactness. Finally, two examples are given to illustrate our theoretical results.
Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/8f016472fd56f1ede4f746364c9c2f2080b931f7
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
- V. Vijayakumar
- Yongxiang Li
- Pengyu Chen
- Chokkalingam Ravichandran
- Xuping Zhang
- S. K. Panda
- Rangasamy Murugesu
- Yong Zhou
In Control and Systems Engineering
- V. Vijayakumar
- Chokkalingam Ravichandran
- Yong Zhou
- Pengyu Chen
- Yongxiang Li
- Xuping Zhang
- Rangasamy Murugesu
- S. K. Panda
In Modeling and Simulation
- V. Vijayakumar
- Yongxiang Li
- Pengyu Chen
- Chokkalingam Ravichandran
- Xuping Zhang
- S. K. Panda
- Rangasamy Murugesu
- Yong Zhou
Citations in the corpus
- Attractivity for fractional evolution equations with almost sectorial operators (2018, background): “[10], Diethelm [5], Zhou [20] and a series of recent research articles [14, 22, 23, 24, 25] and the references therein.”
- Results on controllability of non-densely characterized neutral fractional delay differential system (2021, background): “Controllability permits one to drive the system to an arbitrary final state with the set of permissible controls [3, 5, 8, 12, 14, 18, 23, 25, 27, 30, 31, 32, 37].”
- Controllability for a class of second-order evolution differential inclusions without compactness (2019, background): “Recently, in [19], the authors studied the existence and controllability for fractional evolution inclusionswithout compactness byusingGlicksberg–KyFanfixedpoint theorem.”
- Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators (2020, background): “There are various works on complete controllability and approximate controllability of systems represented by differential equations, integro-differential equations, differential inclusions, neutral functional differential equations, and impulsive differential equations of integer and fractional ord”