Banasiak, Jacek2018-06-142019-01Banasiak, J. Analytic Fragmentation Semigroups and Classical Solutions to Coagulation–fragmentation Equations — a Survey. Acta Mathematica Sinica, English Series (2019) 35: 83-104. https://doi.org/10.1007/s10114-018-7435-9.10.1007/s10114-018-7435-91439-8516 (print)1439-7617 (online)http://hdl.handle.net/2263/65144In the paper we present a survey of recent results obtained by the author that concern discrete fragmentation–coagulation models with growth. Models like that are particularly important in mathematical biology and ecology where they describe the aggregation of living organisms. The main results discussed in the paper are the existence of classical semigroup solutions to the fragmentation–coagulation equations.en© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2018. The original publication is available at : http://link.springer.comjournal/10114.Classical solutionsSemilinear problemsPositive semigroupsInterpolationFragmentationCoagulationPostprint Article