Yang, He; Zhang, Yong Approximate controllability for a class of fractional evolution equations with nonlocal integral boundary conditions. (English) Zbl 1463.93020 J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 1-7 (2020). Summary: Based on the assumption that the corresponding linear system is approximately controllable, the existence of mild solution and the approximate controllability are proved for a class of fractional evolution equations with nonlocal integral boundary conditions by using Schauder fixed point theorem. MSC: 93B05 Controllability 37L05 General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations 26A33 Fractional derivatives and integrals Keywords:fractional evolution equation; approximate controllability; nonlocal boundary condition; compact operator semigroup; fixed point theorem PDFBibTeX XMLCite \textit{H. Yang} and \textit{Y. Zhang}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 1--7 (2020; Zbl 1463.93020) Full Text: DOI