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Lyapunov-type inequality and eigenvalue estimates for fractional problems

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.

Identiferoai:union.ndltd.org:siu.edu/oai:opensiuc.lib.siu.edu:dissertations-2253
Date01 August 2016
CreatorsPathak, Nimishaben Shailesh
PublisherOpenSIUC
Source SetsSouthern Illinois University Carbondale
Detected LanguageEnglish
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Formatapplication/pdf
SourceDissertations

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