论文标题
具有Dirichlet类型边界条件的分数BVP的近似方法
Approximation approach to the fractional BVP with the Dirichlet type boundary conditions
论文作者
论文摘要
我们使用数值分析技术来构建一系列连续的近似序列，以遵守Dirichlet边界条件的分数微分方程系统的解决方案。我们证明了近似值序列与极限函数的统一收敛，这是对正在考虑的边界值问题的独特解决方案，并为存在解决方案提供了必要和足够的条件。获得的理论结果通过模型示例证实。
We use a numerical-analytic technique to construct a sequence of successive approximations to the solution of a system of fractional differential equations, subject to Dirichlet boundary conditions. We prove the uniform convergence of the sequence of approximations to a limit function, which is the unique solution to the boundary value problem under consideration, and give necessary and sufficient conditions for the existence of solutions. The obtained theoretical results are confirmed by a model example.
