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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"lyapunov inequality"" "subject:"yapunov inequality""

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Lyapunov-type inequality and eigenvalue estimates for fractional problems

Pathak, Nimishaben Shailesh 01 August 2016 (has links)
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.
fractional derivative
Green’s function
Hilfer derivative
Laplace transforms
Lyapunov inequality
Mittag-Leffler function

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