The Conference is  devoted to most recent results concerning mathematical evolution problems with particular interest in materials with memory. Notably, challenging analytical problems are originated from applications since materials with memory, and smart materials in general, are more and more widely used in a variety of different technological environments. Indeed, crucial physical properties of these materials  depend on time also through the whole past history. This peculiar behaviour induces to make use of such materials in various different applications such as biomedical tools and in sensors and actuators.  The aim of the Conference is to provide an overview of new and interesting analytical results which are originated, more generally, from different applicative areas, in particular, in connection to evolution equations