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Approximation of fractional resolvents and applications to time optimal control problems
Shouguo Zhu,Gang Li
Keywords:Resolvent, time optimal controls, Riemann-Liouville fractional derivatives, Meyer approximation.
Abstract:
      We investigate the approximation of fractional resolvents, extending and improving some corresponding results on semigroups and resolvents. As applications, we utilize the approach of Meyer approximation to analyze the time optimal control problem of a Riemann-Liouville fractional system without Lipschitz continuity. A fractional diffusion model is also presented to confirm our theoretical findings.