Lyapunov-type inequality and eigenvalue estimates for fractional problems

<p>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.</p>

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Open Access Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2016

Author dc:creator

• Pathak, Nimishaben Shailesh

Contributors dc:contributor

• Sullivan, Michael

• fractional derivative
• Green’s function
• Hilfer derivative
• Laplace transforms
• Lyapunov inequality
• Mittag-Leffler function

Repository record dc:identifier

https://opensiuc.lib.siu.edu/dissertations/1249

OAI identifier oai:identifier

oai:opensiuc.lib.siu.edu:dissertations-2253