非线性分数阶微分方程积分边值问题的正解

Positive Solutions for Integral Boundary Value Problems of Nonlinear Fractional Differential Equations

本文讨论一类非线性分数阶微分方程积分边值问题正解的存在性.借助于Green函数有关的不等式,通过Krasnoselskii-Zabreiko不动点定理获得该问题正解的存在性结果,并在非线性项无穷远处次线性增长的情况下给出解的迭代序列.

The paper is concerned with the existence of positive solutions for a class of nonlinear fractional differential equations involving integral boundary value problems. By using of Krasnoselskii-Zabreiko fixed point theorem, several existence results are formulated in terms of some inequalities associated with Green＇s function. Moreover, an iterative sequence is established when the nonlinearity grows sublinearly at infinity.