一类分数阶微分方程积分边值问题正解的分歧性

Bifurcation of positive solutions for a class of integral boundary value problems of fractional differential equations

利用分歧方法和拓扑度理论,研究了一类带参数的分数阶微分方程积分边值问题正解的存在性.根据格林函数的性质,得到了系统正解的存在的若干充分条件.最后,通过数值例子验证了所得结果的有效性.

Using bifurcation techniques and topological degree theory, this paper investigates the existence of positive solutions for a class of integral boundary value problems of fractional differential equations. Based on the property of the Green function, several sufficient conditions are presented for the existence of positive solutions. Finally, the study of an illustrative example shows that the obtained results are effective.