Elina Shishkina, Professor at the Department of Mathematical and Applied Analysis at the Faculty of Applied Mathematics, Informatics, and Mechanics, VSU, took part in the prestigious Fractional Differential Equations programme at the Isaac Newton Institute for Mathematical Sciences, University of Cambridge. From January to March, Elina Shishkina gave lectures and actively participated in a research workshop on deterministic and stochastic fractional differential equations and jump processes.
Her lectures on “Differential equations with fractional powers of the Bessel operator” and “Random walks and the fractional Euler-Poisson-Darboux equation” aroused the interest of the audience and encouraged fruitful scientific discussions. In addition to public lectures, the programme included research work on fractional stochastic integrals and derivatives, matrix exponents for various forms of fractional powers of the Bessel operator, as well as generalised parabolic and Bessel potentials.
As a result of the research work, a collection of papers on the above topics will be written in collaboration with participants in the programme. The research mission was supported by the Moeller Institute, Churchill College, University of Cambridge, and the Faculty of Applied Mathematics, Informatics, and Mechanics of VSU.