PIMS - UCalgary Invited Speaker Lecture: Chenkuan Li

Using Banach’s contractive principle and Leray–Schauder’s fixed point theorem, we study the uniqueness and existence for a new nonlinear fractional differential equation with functional boundary condition based on the two-parameter Mittag-Leffler function, an inverse operator and an implicit integral equation. Several examples are also presented to demonstrate applications of our key theorems. The methods used can also deal with other types of differential equations including PDEs, with various initial or boundary conditions.