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

2020/01/21 by Kateryna Marynets, Marynets, Kateryna
Mathematics · #34A08 #34K07 #34K28 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2001.07372

openalex publication_date 2020/01/21 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

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

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