具p-Laplacian非局部条件的非线性隐式分数阶微分方程解的存在唯一性

Existence and uniqueness results for nonlinear implicit fractional differential equations a class of nonlocal conditions with p-Laplacian operator

利用Krasnoselskii不动点定理和压缩映射原理,研究了一类具p-Laplacian算子且带有非局部条件的非线性隐式分数阶微分方程解的存在唯一性,给出了一些新的结论,并举例说明所得结果的有效性.

By using the Krasnoselskii’s fixed point theorem and contraction mapping principle, the existence and uniqueness results for nonlinear implicit fractional differential equations fora class of non local conditions with p-Laplacian operator are given.Some new results are established and an example are given to examine the efficiency for the results via examples.