具有测度积分边界条件的非线性Hadamard分数阶微分方程的正解

Positive solutions of nonlinear Hadamard fractional differential equations with measured integral boundary conditions

使用不动点定理研究一类非线性Hadamard分数阶微分方程正解的存在性,通过适当的非负矩阵来描述非线性的耦合行为,得到具有测度积分边界条件的非线性Hadamard分数阶微分方程正解。给出一个例子,来验证所获得理论结果的有效性和正确性。

Based on the fixed point theorem, the existence of positive solutions for a class of nonlinear Hadamard fractional differential equations is studied. The positive solutions of nonlinear Hadamard fractional differential equations with measured integral boundary conditions are obtained by using non-negative matrix to describe nonlinear coupling behavior. An example is given to illustrate the validity and correctness of the main result.