一类具有p-Laplacian算子的Caputo-Hadamard型分数阶微分方程解的存在性

Existence of Solutions for a Class of Caputo-Hadamard FractionalDifferential Equations with p-Laplacian Operator

研究一类具有p-Laplacian算子的Caputo-Hadamard型分数阶微分方程解的存在性.通过构造迭代序列和上下解方法得到该方程解的存在性结论.值得一提是,研究的微分方程非线性部分包含Caputo-Hadamard型分数阶导数且边值条件带有积分.

In this paper, we study a class of fractional differential equations of Caputo-Hadamard types with p -Laplacian operator. The existence of solutions were obtained by constructing the iterative sequencethe and using the upper and lower solution method. It is worth mentioning that the differential equation of the nonlinear part contains Caputo-type Hadamard fractional order derivative and with integral boundary value conditions.