Fractional calculus is an area of analysis that aims to generalize the derivative and integral operators to fractional order. These fractional operators are collectively known as differintegrals, and they naturally lead to the idea of fractional differential equations. Such equations have several applications in solving engineering and physics problems. In this talk, we will introduce some basic fractional differential equations and discuss methods for solving them. We will also use differintegrals to derive a formula for the heat flux for a certain diffusion problem. Time permitting, we will show how differintegrals can be used to find solutions for ordinary differential equations. Speaker(s): Zachary Deiman (University of Michigan)