Date of Award
8-1-2016
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Sullivan, Michael
Abstract
In this work, we establish the Lyapunov-type inequalities for the fractional boundary value problems with Hilfer derivative for different boundary conditions. We apply this inequality to fractional eigenvalue problems and prove one of the important results of real zeros of certain Mittag-Leffler functions and improve the bound of the eigenvalue using the Cauchy-Schwarz inequality and Semi-maximum norm. We extend it for higher order cases.
COinS
Access
This dissertation is Open Access and may be downloaded by anyone.