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

Fractional Calculus and Applied Analysis (2010)

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

## Access Full Article

top## Abstract

top## How to cite

topTakači, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.