Kostić, M. \(\mathcal D\)-hypercyclic and \(\mathcal D\)-topologically mixing properties of degenerate multi-term fractional differential equations. (English) Zbl 1329.47008 Azerb. J. Math. 5, No. 2, 78-95 (2015). Summary: In the paper under review, we introduce the notions of \(\mathcal{D}\)-hypercyclicity and \(\mathcal{D}\)-topologically mixing property of degenerate abstract multi-term fractional differential equations with Caputo fractional derivatives. The obtained results are illustrated with some examples. Cited in 6 Documents MSC: 47A16 Cyclic vectors, hypercyclic and chaotic operators 47D06 One-parameter semigroups and linear evolution equations 47G20 Integro-differential operators 34G10 Linear differential equations in abstract spaces 34A08 Fractional ordinary differential equations Keywords:abstract multi-term fractional differential equations; degenerate equations; Caputo fractional derivatives; hypercyclicity; topologically mixing property; well-posedness; separable locally convex spaces PDFBibTeX XMLCite \textit{M. Kostić}, Azerb. J. Math. 5, No. 2, 78--95 (2015; Zbl 1329.47008) Full Text: Link