Study of a nonlinear fractional boundary value problem via the dichotomy-type technique
Classical Analysis and ODEs
2021-01-22 v3
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.
Cite
@article{arxiv.2001.07372,
title = {Study of a nonlinear fractional boundary value problem via the dichotomy-type technique},
author = {Kateryna Marynets},
journal= {arXiv preprint arXiv:2001.07372},
year = {2021}
}
Comments
Computational errors in Lemmas