On the Operational Solution of a System of Fractional Differential Equations
Fractional calculus and applied analysis, Tome 13 (2010) no. 4, pp. 423-434
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
We 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.
Keywords:
Fractional Calculus, Operational Calculus
@article{FCAA_2010_13_4_a7,
author = {Taka\v{c}i, Dj. and Taka\v{c}i, A.},
title = {On the {Operational} {Solution} of a {System} of {Fractional} {Differential} {Equations}},
journal = {Fractional calculus and applied analysis},
pages = {423--434},
year = {2010},
volume = {13},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/FCAA_2010_13_4_a7/}
}
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 SP - 423 EP - 434 VL - 13 IS - 4 UR - http://geodesic.mathdoc.fr/item/FCAA_2010_13_4_a7/ LA - en ID - FCAA_2010_13_4_a7 ER -
Takači, Dj.; Takači, A. On the Operational Solution of a System of Fractional Differential Equations. Fractional calculus and applied analysis, Tome 13 (2010) no. 4, pp. 423-434. http://geodesic.mathdoc.fr/item/FCAA_2010_13_4_a7/