Positive Solution for Boundary Value Problem of Nonlinear Fractional Differential Equation
Positive Solution for Boundary Value Problem of Nonlinear Fractional Differential Equation
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发表时间：
2011
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通讯作者：
Wei-min Hu
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作者：
Wei-min Hu
得到了一类分数阶微分方程D0α+ u(t) = f(t,u(t)),0 t 1 u（0) = u（1) = u ' （0) = u″(0)={0）的正解的存在唯一性，其中3 α 4为实数，f:[0,1]×[0,+∞）→[0,+∞）连续，D0α+为标准Riemann-Liouville微分。该证明依赖于Schauder不动点定理。
The existence and uniqueness of positive solutions of an fractional differential equation of the form D0α+ u(t) = f(t,u(t)),0 t 1 u(0) = u(1) = u′(0) = u″(0) ={0 are obtained,where 3 α 4 is a real number,f:[0,1]×[0,+ ∞) →[0,+ ∞) is continuous,and D0α + is the standard Riemann-Liouville differentiation.The proof relies on Schauder fixed point theorem.