Controllability of nonlinear fractional integrodifferential systems involving multiple delays in control
DOI:
https://doi.org/10.11121/ijocta.1428Keywords:
Fractional derivative, Delay system, Mild solution, null-controllability.Abstract
This work studies the existence of solutions and approximate controllability of fractional integrodifferential systems with Riemann-Liouville derivatives and with multiple delays in control. We establish suitable assumptions to prove the existence of solutions. Controllability of the system is shown by assuming a range condition on control operators and Lipschitz condition on non-linear functions. We use the concepts of strongly continuous semigroup rather than resolvent operators. Finally, an example is give to illustrate the theory.
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