Successive Approximation Technique in the Study of a Nonlinear Fractional Boundary Value Problem

Journal article (2021)

Authors

K. Marynets Mathematical Physics - EEMCS
Research Group
Mathematical Physics (EEMCS) (TU Delft)
Copyright: © 2021 K. Marynets
DOI: https://doi.org/10.3390/math9070724
Parametrization Dichotomy-type approach Nonlinear fractional boundary value problem Successive approximations
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Published Date

2021

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Mathematical Physics

Abstract

We studied one essentially nonlinear two–point boundary value problem for a system of fractional differential equations. An original parametrization technique and a dichotomy-type approach led to investigation of solutions of two “model”-type fractional boundary value problems, containing some artificially introduced parameters. The approximate solutions of these problems were constructed analytically, while the numerical values of the parameters were determined as solutions of the so-called “bifurcation” equations.