带p-Laplacian算子的一致分数阶Langevin方程边值问题解的存在性
Existence of solutions for boundary value problems of conformable fractional Langevin equations with p-Laplacian operators
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摘要: 运用Leray-Schauder非线性抉择、Schaefer不动点定理,研究了带p-Laplacian 算子的一致分数阶Langevin方程边值问题解的存在性,在非线性项满足合理的假设条件下,得到了该边值问题解的存在性结果,并举例说明所得结果的适用性.Abstract: The existence of solutions for boundary value problems of conformable fractional Langevin equations with p-Laplacian operators is investigated by using Leray-Schauder’s nonlinear alterative and Schaefer fixed theorem. Under the condition that the nonlinear term satisfies reasonable assumptions, the existence results of the solution to the boundary value problem are obtained. An example is given to show the applicability of the main results.