EXACT NULL CONTROLLABILITY OF A FRACTIONAL NONLOCAL DELAY EVOLUTION SYSTEM

We delve into the exact null controllability problem of a fractional nonlocal weighted delay abstract system. For this strategy, we launch the resolvent trick and the approximation solvability method to construct control-state approximation sequence pairs twice to explore the problem without involving the compactness of semigroups and nonlocal items and the Lipschitz restriction on nonlinear terms and nonlocal parts or the noncompactness measure condition. Our work extends and generalizes previous results about exact null controllability problems of all evolution systems. Moreover, a significant diffusion model is displayed to show the applicability and validity of our mentioned outcomes. Finally, the conclusion of this paper is offered.