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

Kateryna Marynets
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Kateryna Marynets: Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands

Mathematics, 2021, vol. 9, issue 7, 1-19

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.

Keywords: nonlinear fractional boundary value problem; parametrization; successive approximations; dichotomy-type approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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