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On One Interpolation Type Fractional Boundary-Value Problem

Delft Institute of Applied Mathematics, Delft University of Technology, 2628 XE Delft, The Netherlands
Axioms 2020, 9(1), 13; https://doi.org/10.3390/axioms9010013
Received: 11 December 2019 / Revised: 14 January 2020 / Accepted: 20 January 2020 / Published: 28 January 2020
(This article belongs to the Special Issue Fractional Calculus, Wavelets and Fractals)
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.
Keywords: fractional differential system; interpolation type boundary condition; approximation of solution; parametrization technique fractional differential system; interpolation type boundary condition; approximation of solution; parametrization technique
MDPI and ACS Style

Marynets, K. On One Interpolation Type Fractional Boundary-Value Problem. Axioms 2020, 9, 13.

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