Exploring algebraic structures of nonlocal classical integral systems

Mathematics underpins so many aspects of nature and society, from the mathematical array of natural structures to the use of statistics, fractions and mathematical models in everyday life. The application of mathematics to real life problems is vital, yet there are many examples of failed attempts to apply mathematics to solve everyday issues that have arisen as a result of an underinvestment in and underdevelopment of the field of mathematics. One prominent example of this lack is non-linearity. Dr Yohei Tutiya, an Associate Professor from the Center for Basic Education and Integrated Learning at Kanagawa Institute of Technology in Japan, has been exploring the classical integrable system in relation to the possibility of developing further non-local differential equations.