FOR BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

FOR BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION
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DOI:
10.22436/jnsa.001.03.01
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发表时间:
2008-09
期刊:
--
影响因子:
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通讯作者:
Tingting Qiu;Zhanbing Bai
Tingting Qiu;Zhanbing Bai
中科院分区:
其他
文献类型:
--
作者:
Tingting Qiu;Zhanbing Bai

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.研究了具有半正非线性项的非线性分数阶微分方程(cid:189)的正解,其中2 < α ≤ 3为真实的实数,D α 0 +为Caputo微分,f:[0,1] × [0,∞)→(−∞,∞).利用Krasnosel'skii不动点定理,得到了正解的存在性结果.
. We investigate the positive solution of nonlinear fractional differential equation with semi-positive nonlinearity (cid:189) where 2 < α ≤ 3 is a real number, D α 0 + is the Caputo’s differentiation, and f : [0 , 1] × [0 , ∞ ) → ( −∞ , ∞ ). By use of Krasnosel’skii fixed point theorem, the existence results of positive solution are obtained.