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一类带有积分边值问题的奇异半正分数阶微分方程组正解的存在性
引用本文:贾艳丽. 一类带有积分边值问题的奇异半正分数阶微分方程组正解的存在性[J]. 聊城大学学报(自然科学版), 2014, 0(1): 25-32
作者姓名:贾艳丽
作者单位:聊城大学数学科学学院,山东聊城252059
基金项目:国家自然科学基金资助(10971179);山东省优秀中青年科学家奖励基金(BS2010SF004);山东省高等学校科技发展计划资助项目(J10LA53)
摘    要:研究一类带有积分边值问题的奇异半正分数阶微分方程组正解的存在性,并利用不动点指数定理给出正解存在的充分条件.

关 键 词:分数阶微分方程  积分边值问题  奇异  半正  不动点指数定理  正解

Exisence of Positive Solutions for a Singular Semipositone System of Fractional Differential Equations with Integral Boundary Value Problem
JIA Yan-li. Exisence of Positive Solutions for a Singular Semipositone System of Fractional Differential Equations with Integral Boundary Value Problem[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 2014, 0(1): 25-32
Authors:JIA Yan-li
Affiliation:JIA Yan-li (School of Mathematical Sciences, Liaoeheng University ,Liaocheng 252059, China)
Abstract:In this paper, we are concerned with the existence of positive solutions for a singular semipositone system of fractional differential equations with integral boundary value problem. We obtain some sufficient conditions for positive solutions by the fixed point index theorem.
Keywords:singular semipositone system   integral boundary problem   positive solution   fixed point index theorem
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