非线性项依赖于低阶导数的奇异分数阶弹性梁系统的可解性

Solvability of Singular Fractional Order Elastic Beam Systems with Nonlinearities Depending on Lower Derivatives

文中获得了一类非线性项依赖于低阶导数的奇异分数阶弹性梁系统边值问题解的存在性的充分条件,分数阶微分方程的非线性项在t=0和t=1时可能是奇异的:我们的方法是利用不动点定理,构造一个加权函数空间,并证明所定义的一个非线性算子是完全连续的。

In this article, existence results for solutions of a class of boundary-value probNms fractional order elastic beam systems with nonlinearities depending on lower derivatives are established. Thenonlinearities in fractional differential equations may be singular a t t= 0 and t = 1. A weighted function space isconstructed firstly and then a completely continuous nonlinear operator is proved. Our analysis relies on a wellknown fixed point theorem.