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Existence of positive solutions to a family of fractional two-point boundary value problems

Posted on:2016-03-07Degree:M.SType:Thesis
University:Eastern Kentucky UniversityCandidate:Hollon, Christina AFull Text:PDF
GTID:2470390017978788Subject:Mathematics
Abstract/Summary:
In this paper we will consider an nth order fractional boundary value problem with boundary conditions that include a fractional derivative at 1. We will develop properties of the Green's Function for this boundary value problem and use these properties along with the Contraction Mapping Principle, and the Schuader's, Krasnozel'skii's, and Legget-Williams fixed point theorems to prove the existence of positive solutions under different conditions.
Keywords/Search Tags:Boundary value problem, Positive solutions, Fractional
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