Advances in Operator Theory
- Adv. Oper. Theory
- Volume 4, Number 4 (2019), 802-820.
Approximate and trajectory controllability of fractional neutral differential equation
We study a new class of fractional neutral differential control system with noninstantaneous impulses and state-dependent delay. The resolvent family and Krasnoselskii's fixed point theorem are utilized to examine the approximate controllability outcomes for the proposed system. Further, we derive the trajectory controllability outcomes for the proposed fractional control system. Finally, the main results are validated with the aid of an example.
Adv. Oper. Theory, Volume 4, Number 4 (2019), 802-820.
Received: 12 December 2018
Accepted: 8 April 2019
First available in Project Euclid: 15 May 2019
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Dhayal, Rajesh; Malik, Muslim; Abbas, Syed. Approximate and trajectory controllability of fractional neutral differential equation. Adv. Oper. Theory 4 (2019), no. 4, 802--820. doi:10.15352/aot.1812-1444. https://projecteuclid.org/euclid.aot/1557885628