# On the Operational Solution of a System of Fractional Differential Equations

• Volume: 13, Issue: 4, page 423-434
• ISSN: 1311-0454

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## Abstract

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MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and GeoGebra, the exact and the approximate solution of the given numerical example are constructed, and their dependence on the initial condition and the fractional derivatives is shown graphically.

## How to cite

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Takači, Dj., and Takači, A.. "On the Operational Solution of a System of Fractional Differential Equations." Fractional Calculus and Applied Analysis 13.4 (2010): 423-434. <http://eudml.org/doc/219621>.

@article{Takači2010,
abstract = {MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and GeoGebra, the exact and the approximate solution of the given numerical example are constructed, and their dependence on the initial condition and the fractional derivatives is shown graphically.},
author = {Takači, Dj., Takači, A.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Fractional Calculus; Operational Calculus; fractional calculus; operational calculus},
language = {eng},
number = {4},
pages = {423-434},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Operational Solution of a System of Fractional Differential Equations},
url = {http://eudml.org/doc/219621},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Takači, Dj.
AU - Takači, A.
TI - On the Operational Solution of a System of Fractional Differential Equations
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 4
SP - 423
EP - 434
AB - MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and GeoGebra, the exact and the approximate solution of the given numerical example are constructed, and their dependence on the initial condition and the fractional derivatives is shown graphically.
LA - eng
KW - Fractional Calculus; Operational Calculus; fractional calculus; operational calculus
UR - http://eudml.org/doc/219621
ER -

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