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arXiv · 2001.07372

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

Kateryna Marynets
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Abstract

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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Kateryna Marynets. 2020-01-21. Study of a nonlinear fractional boundary value problem via the dichotomy-type technique. https://arxiv.org/abs/2001.07372

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