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The Existence Of A Positive Solution For A Singular Cyclic System Of Fractional Differential Equations

Posted on:2014-08-22Degree:MasterType:Thesis
Country:ChinaCandidate:W G ZhangFull Text:PDF
GTID:2180330467975302Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper we proof the existence of a positive solution to a cyclic system of fractional differential equations. where a∈(0,+∞), n∈N+,0<si<1, Dsi are standard Riemann-Liouville fractional derivatives, fi:(0,a]×[0,+∞)â†'[0,+∞) are given continuous func-tions, and (?)fi(t,·)=+∞(i=1,2,…,n). The analysis rely on a nonlinear alternative of Leray-Schauder type and Krasnoselskii’s fixed point theorem in cones.Chapter1. the existence of a positive solution for a singular coupled system of fractional differential equations.Chapter2. the existence of a positive solution for a singular cyclic system of fractional differential equations.
Keywords/Search Tags:Fractional differential equations, Cyclic system, Positive solution, Fixed point theorem in cones
PDF Full Text Request
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