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EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION 被引量:1

EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION
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摘要 In this paper, using the property of the corresponding Green’s function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fractional boundary value problem are obtained. Three examples are given to show the effectiveness of our results. In this paper, using the property of the corresponding Green's function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fractional boundary value problem are obtained. Three examples are given to show the effectiveness of our results.
机构地区 Dept. of Math.
出处 《Annals of Differential Equations》 2013年第2期212-221,共10页 微分方程年刊(英文版)
基金 jointly supported by Natural Science Foundation of Hunan Provincial under Grant 11JJ3005 Science and Technology Planning Project of Hunan Province Science and Technology Department under Grant 2012FJ4300 the Natural Scientific Research Fund of Hunan Provincial Education Department under Grant 11C1186
关键词 positive solutions boundary value problem nonlinear fractional dif- ferential equation Green's function fixed-point index theory positive solutions boundary value problem nonlinear fractional dif- ferential equation Green's function fixed-point index theory
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参考文献9

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