| Volume 8, Number 2, 2018, Pages 532-548 DOI：10.11948/2018.532 |
| Approximate controllability of Riemann-Liouville fractional evolution equations with integral contractor assumption |
| Shouguo Zhu,Zhenbin Fan,Gang Li |
| Keywords:Approximate controllability, Riemann-Liouville fractional derivatives, resolvent, regular integral contractor. |
| Abstract: |
| We propose and investigate an evolution system with a Riemann-Liouville fractional derivative. With the aid of a resolvent method, we formulate a suitable notion of solutions to this system and demonstrate the corresponding existence and uniqueness of solutions under a regular integral contractor condition. Furthermore, by applying a space decomposition technique, we exhibit the approximate controllability result of the system. This paper closes with a simple example, which confirms our analytical findings. |
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