Solvability analysis of a special type fractional differential system

Kateryna Marynets

doi:10.1007/s40314-019-0981-7

Solvability analysis of a special type fractional differential system

Kateryna Marynets^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

5 Citations (Scopus)

Abstract

Obtained some new and original results in investigation of solutions of the boundary-value problems (BVPs) for fractional differential systems (FDS), subjected to anti-periodic boundary conditions. The approximate solution of the given BVP is built in the form of successive sequences of functions by using main ideas of the numerical–analytic technique (Marynets in Electron J Qual Theory Differ Equ 6(2016):1–14 (2016); Ronto and Marynets in Nonlinear Oscil 14:379–413 (2012), Ronto et al. in Tatra Mt Math Publ 63:247–267 (2015). The numerical values of the unknown vector-parameter are solutions of the so-called ‘determining’ system of algebraic or transcendental equations.

Original language	English
Article number	3
Journal	Computational and Applied Mathematics
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s40314-019-0981-7
Publication status	Published - 2020
Externally published	Yes

Keywords

Anti-periodic boundary conditions
Approximation of solutions
Fractional differential equations
Parametrization technique

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10.1007/s40314-019-0981-7

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abstract = "Obtained some new and original results in investigation of solutions of the boundary-value problems (BVPs) for fractional differential systems (FDS), subjected to anti-periodic boundary conditions. The approximate solution of the given BVP is built in the form of successive sequences of functions by using main ideas of the numerical–analytic technique (Marynets in Electron J Qual Theory Differ Equ 6(2016):1–14 (2016); Ronto and Marynets in Nonlinear Oscil 14:379–413 (2012), Ronto et al. in Tatra Mt Math Publ 63:247–267 (2015). The numerical values of the unknown vector-parameter are solutions of the so-called {\textquoteleft}determining{\textquoteright} system of algebraic or transcendental equations.",

keywords = "Anti-periodic boundary conditions, Approximation of solutions, Fractional differential equations, Parametrization technique",

author = "Kateryna Marynets",

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language = "English",

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AB - Obtained some new and original results in investigation of solutions of the boundary-value problems (BVPs) for fractional differential systems (FDS), subjected to anti-periodic boundary conditions. The approximate solution of the given BVP is built in the form of successive sequences of functions by using main ideas of the numerical–analytic technique (Marynets in Electron J Qual Theory Differ Equ 6(2016):1–14 (2016); Ronto and Marynets in Nonlinear Oscil 14:379–413 (2012), Ronto et al. in Tatra Mt Math Publ 63:247–267 (2015). The numerical values of the unknown vector-parameter are solutions of the so-called ‘determining’ system of algebraic or transcendental equations.

KW - Anti-periodic boundary conditions

KW - Approximation of solutions

KW - Fractional differential equations

KW - Parametrization technique

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VL - 39

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

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ER -

Solvability analysis of a special type fractional differential system

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Keywords

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