Mathematics Colloquium

Thursday, November 3

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Arts and Sciences, Colloquia, Mathematics, Sciences

Cost:  Free

Speaker: Dr. Paul Eloe, University of Dayton

Title: Green's functions as convolutions of Green's functions for lower order fractional differential equations

Abstract: We consider families of two-point boundary value problems for fractional differential equations where the fractional derivative is assumed to be the Riemann-Liouville fractional derivative.  The problems considered are such that appropriate differential operators commute and the problems can be constructed as nested boundary value problems for lower order fractional differential equations.  Green's functions are then constructed as convolutions of lower order Green's functions.  With this construction, we obtain analogous comparison theorems for the two families of higher order equations considered here.  We will motivate the comparison theory with ordinary differential equations.  The methods of proof for the ordinary differential equations are not known to apply to the methods of proof for the fractional equations.

Refreshments are available at 3:00 PM in SC 313F.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. 

Contact Information:

Name:  Paul Eloe
Email:  peloe1@udayton.edu