一类Hadamard型分数阶微分方程解的存在唯一性

The existence and uniqueness of the solutions of a class of Hadamard type fractional differential equations

利用格林函数的性质和锥上不动点定理讨论了一类Hadamard型分数阶微分方程(非线性项包含分数阶导数和一个减算子)的正解,得到了该分数阶微分方程正解的存在唯一性.

Using the properties of Green’s function and the fixed point theorem on the cone,the positive solutions of a class of Hadamard type fractional differential equations(the nonlinear term includes fractional derivatives and a subtraction operator)are discussed,and the existence and uniqueness of positive solutions of the fractional differential equations is obtained.