On one interpolation type fractional boundary–value problem

Kateryna Marynets

doi:10.3390/axioms9010013

On one interpolation type fractional boundary–value problem

Kateryna Marynets

Mathematical Physics

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Abstract

We present some new results on the approximation of solutions of a special type of fractional boundary-value problem. The focus of our research is a system of three fractional differential equations of the mixed order, subjected to the so-called "interpolation" type boundary restrictions. Under certain conditions, the aforementioned problem is simplified via a proper parametrization technique, and with the help of the numerical-analytic method, the approximate solutions are constructed.

Original language	English
Article number	13
Pages (from-to)	1-21
Number of pages	21
Journal	Axioms: SI Fractional Calculus, Wavelets and Fractals
Volume	9
Issue number	1
DOIs	https://doi.org/10.3390/axioms9010013
Publication status	Published - 2020

Keywords

Approximation of solution
Fractional differential system
Interpolation type boundary condition
Parametrization technique

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10.3390/axioms9010013

axioms-09-00013-v2Final published version, 322 KBLicence: CC BY

Cite this

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AB - We present some new results on the approximation of solutions of a special type of fractional boundary-value problem. The focus of our research is a system of three fractional differential equations of the mixed order, subjected to the so-called "interpolation" type boundary restrictions. Under certain conditions, the aforementioned problem is simplified via a proper parametrization technique, and with the help of the numerical-analytic method, the approximate solutions are constructed.

KW - Approximation of solution

KW - Fractional differential system

KW - Interpolation type boundary condition

KW - Parametrization technique

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DO - 10.3390/axioms9010013

M3 - Article

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JF - Axioms: SI Fractional Calculus, Wavelets and Fractals

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ER -

On one interpolation type fractional boundary–value problem

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Keywords

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