分数阶微分方程耦合系统边值问题正解的存在性OACSTPCD
Existence of positive solutions for boundary value problem of coupled system of fractional differential equations
首先利用Leray—Schauder非线性抉择和锥拉伸与压缩不动点定理等，讨论了一类非线性的Riemann—Liouville分数阶微分方程耦合系统边值问题，得出边值问题的正解存在的充分条件。其次，结合积分方程与微分方程解的等价性及范数性质给出正解不存在的几个充分条件。
This paper introduces an investigation into the existence and nonexistence of positive solu- tions for boundary value problem of a coupled system of nonlinear fractional differential equations and fea- tures some results of existence and nonexistence positive solutions for boundary value problem obtained by using the fixed point theorem.
申腾飞
中国矿业大学理学院,江苏徐州221116
数学
分数阶微分方程边值问题不动点定理正解
fractional differential equationboundary value problemfixed point theorempositive solutions
《黑龙江科技学院学报》 2012 (1)
98-101,106,5
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