非齐次边界条件下非线性适型分数阶微分方程解的存在性任务书

 2021-08-20 01:08

1. 毕业设计(论文)主要目标:

1. 构造合适的管道解及目标方程的替代函数,替代方程在管道解范围内与目标方程同解;2. 建立合适算子,结合适型微分定义证明替代方程有解存在;3. 证明替代方程的每一个解都在管道解范围内;4. 证明得目标方程解的存在性。

2. 毕业设计(论文)主要内容:

1. 目标分数阶微分方程管道解的建立;2. 替代方程的建立及相关新变量的定义;3. 算子的定义及其紧性证明;4. 替代方程解的存在性证明;5. 替代方程每个解都在管道解范围内的证明;6. 目标方程解的存在性讨论。

3. 主要参考文献

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