EKUStem

08/31/2026

08/31/2026

Please join us for the first Coffee Time Talk of the fall!

Dr. Jeffrey Neugebauer
Eastern Kentucky University
Zeros of Fractional Derivatives: A Fractional Version of Rolle's Theorem
September 2, 2026 @ 2:00 p.m.
Wallace 344 & Online

Abstract: In a first-semester calculus course, Rolle’s Theorem provides a simple, intuitive guarantee. if a smooth curve starts and ends at the same height, it must flatten out at some point in between. This flattening is identified by the derivative being zero. However, this classical result relies on the derivative being a local operator, meaning the slope at any specific point depends only on the behavior of the function immediately next to it.


In this talk, we explore what happens to Rolle’s Theorem when we move into fractional calculus. Unlike classical derivatives, fractional derivatives are non-local. To calculate the derivative at a specific time, you must consider the entire history of the function leading up to that moment. This memory effect introduces surprising complications. For instance, the fractional derivative of a constant value is not necessarily zero. The location of a function's zeros can change where the fractional derivative equals zero.

We will begin with an introduction to fractional derivatives and integrals, focusing on how they differ from the derivative and integral in calculus. We will then present a fractional version of Rolle's Theorem. Here, we will see why the memory of the fractional derivative makes it difficult to track zeros and how we can still guarantee their existence under specific conditions. No prior background in fractional calculus is required. Some knowledge of derivatives and integrals is recommended.

Zoom information email [email protected]

08/24/2026

08/24/2026

Join us this Wednesday for the College of STEM Welcome Social!

> GAMES
> PRIZES
> FREE FOOD

08/17/2026

We’re expanding our student social media ambassador team, also known as the Colonel Creators. If you’re passionate about content creation, the colonel spirit and student engagement, there’s a spot for you on our team, and we want to hear from you!

Overview of the Job:
🤳 Show off campus life and student experiences in video content
📸 Participate in marketing photoshoots
🎥 Document key campus events to share real-time
📣 Create content for Maroon Platoon social media accounts
🏈 Promote upcoming athletic events, giveaways and themes
🏟 Assist in student section and game day atmosphere

You can learn more and apply in the link below!

🔗: https://careers.eku.edu/jobs/colonel-creator-engagement-ambassador-richmond-campus-kentucky-united-states

08/17/2026

This week we are focusing on the Department of Biological Sciences in our "Learn more about the degrees offered" series!

08/11/2026

Learn more about the degrees offered by the College of STEM! This week we present:

08/04/2026

Learn more about the degrees offered by the college of stem!

07/23/2026

https://www.youtube.com/shorts/-O1jPmavpcE

Students from Eastern Kentucky University’s College of Science, Tec...