一类非线性分数阶微分方程耦合系统边值问题解的存在性

Existence of Solutions of the Boundary Value Problem for a Coupled System of Nonlinear Fractional Differential Equations

研究一类非线性Riemann-Liouville型分数阶微分方程耦合系统解的存在性.利用格林函数的性质和Guo-Krasnosel’skii’s不动点定理,得到该耦合系统解存在性的充分条件,并举例说明结论的适用性.

In this paper,we study the existence of solutions for a coupled system of nonlinear Riemann-Liouville fractional differential equations.We obtain the sufficient conditions for existence of solutions by using the properties of the associated Green’s function and Guo-Krasnoselskii’s fixed point theorem.Then one example is given to illustrate the applicability of our main results.