论文标题

通过二分法技术研究非线性分数边界值问题

Study of a nonlinear fractional boundary value problem via the dichotomy-type technique

论文作者

Marynets, Kateryna

论文摘要

在研究两点非线性分数边界值问题时,我们对连续近似方法的方法提出了新的看法。为了减少原始问题并进一步构建其近似解决方案,我们使用了共同称为的“冷冻”技术和二分法型方法。这些导致改善了上述方法的足够条件,并提高了所获得的估计值。

We present a new view onto the successive approximations' approach in study of the two-point nonlinear fractional boundary value problems. In order to reduce the original problem and further construct its approximate solution we use the co-called 'freezing' technique and the dichotomy-type approach. These lead to improvement of the sufficient conditions for application of the aforementioned method and sharpen the obtained estimates.

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