Invited Speakers


Professor, Sanja Konjik, Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Serbia.

Biography:

Dr. Sanja Konjik is a Full Professor at the Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad. She obtained her PhD at the Faculty of Mathematics, University of Vienna, in 2008. Over the years she has developed a broad interest in various topics in analysis and differential geometry, primarily in fractional calculus, functional analysis, partial differential equations, generalized functions, calculus of variations and symmetries. She has published over 30 refereed scientific papers, has been visiting researcher in Austria, Belgium, Portugal, Croatia and Montenegro, has participated in many scientific conferences and projects. Currently she holds the chair in Applied Analysis at Department of Mathematics and Informatics in Novi Sad, and is a fellow of ISAAC (Life member), IAGF (Executive Editor), EWM, SIAM and SMSA.

Speech Title: Fractional models of wave propagation in viscoelastic media

Abstract: Fractional calculus is a powerful tool for modeling phenomena arising in diverse fields such as mechanics, physics, engineering, economics, finance, medicine, biology, chemistry, etc. It deals with derivatives and integrals of arbitrary real (or even complex) order, thus extending capabilities of the classical calculus, but also introducing novelties in theoretical and applied research. The focus of this talk is on the investigation of waves in viscoelastic media through the constitutive equation containing fractional derivatives of various type.

So far, the classical wave equation has been generalized for the case of viscoelastic materials by the use of fractional derivatives of constant real order (cf. [1,2]). Our most recent study introduces a distributed order fractional model to describe wave propagation in viscoelastic infinite media, and examines existence and uniqueness of fundamental solutions for the corresponding generalized Cauchy problem. Some particular cases of distributed order fractional constitutive stress-strain relations will be presented in more details, as well as numerical experiments, in order to illustrate theoretical results.