#### Event Title

#### Description

This talk will introduce the subject of fractional calculus, which involves taking integrals and derivatives of arbitrary order. Neugebauer will show how the definitions of fractional derivatives and fractional integrals are natural extensions of the definitions of the derivative and the integral. In addition to showing some examples, Neugebauer will explore ongoing research on the comparison of smallest eigenvalues of a fractional-boundary-value problem with conjugate boundary conditions.

#### Date of Event

March 12, 2013 12:00-1:00 PM

#### Location

Carl DeSantis Building - Room 2067

#### NSU News Release Link

http://nsunews.nova.edu/learn-fractional-calculus-math-colloquium-talk/

Fractional Calculus and Smallest Eigenvalues

Carl DeSantis Building - Room 2067

This talk will introduce the subject of fractional calculus, which involves taking integrals and derivatives of arbitrary order. Neugebauer will show how the definitions of fractional derivatives and fractional integrals are natural extensions of the definitions of the derivative and the integral. In addition to showing some examples, Neugebauer will explore ongoing research on the comparison of smallest eigenvalues of a fractional-boundary-value problem with conjugate boundary conditions.

https://nsuworks.nova.edu/mathematics_colloquium/ay_2012-2013/events/4

## Presenter Bio

Jeffrey T. Neugebauer received his B.S. and M.S. from the University of Dayton and Ph.D. from Baylor University. He is an Assistant Professor of Mathematics at Eastern Kentucky University. His research is in the field of the classical theory of ordinary differential equations.