【摘要】 对Timoshenko梁方程初值问题进行空间变量的离散化,得到相应的分数阶Timoshenko梁格点系统.用Schauder’s不动点定理和巴拿赫压缩映射原理对该格点系统的解的存在性进行了研究,并得到了存在唯一解的充分条件.更多还原

【Abstract】 The spatial variable of initial value problem for Timoshenko beam equations was discretized,and the corresponding fractional Timoshenko beam lattice system was obtained.By using Schauder’s fixed point theorem and Banach contraction mapping principle,the existences of solutions of the lattice system are studied,and the sufficient conditions for unique solutions are obtained.更多还原