一类非线性分数阶多点边值问题的可解性

Solvability of a Class of Nonlinear Fractional Multi-point Boundary Value Problems

讨论了一类非线性分数阶微分方程多点边值问题的可解性,主要应用Banach压缩映像原理和Leray-Schauder非线性抉择定理得到解的存在性和唯一性,最后给出例子说明定理的适用性。

The existence and uniqueness of solutions for a class of nonlinear fractional differential equations with multi-point fractional boundary value conditions is considered in this paper by applying Banach contraction principle and Leray-Schauder nonlinear alternative theorem. An example is presented to illustrate our results.