Mathematics Colloquium

Thursday, September 28

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Colloquia, Mathematics, Sciences

Cost:  Free

Speaker: Saleh Almuthaybiri, University of Dayton

Title: Quasilinearization and Boundary Value Problems at Resonance for Caputo Fractional Differential Equations

Abstract: The quasilinearization method is applied to a boundary value problem at resonance for a Caputo fractional differential equation.  The method of upper and lower solutions is first employed to obtain the uniqueness of solutions of the boundary value problem at resonance.  The shift method is applied to show the existence of solutions.  The quasilinearization algorithm is then developed and sequences of approximate solutions are constructed that converge monotonically and quadratically to the unique solution of the boundary value problem at resonance.  Two applications are provided to illustrate the main result.

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