Note on a discretization of a linear fractional differential equation

Jan Čermák; Tomáš Kisela

Mathematica Bohemica (2010)

  • Volume: 135, Issue: 2, page 179-188
  • ISSN: 0862-7959

Abstract

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The paper discusses basics of calculus of backward fractional differences and sums. We state their definitions, basic properties and consider a special two-term linear fractional difference equation. We construct a family of functions to obtain its solution.

How to cite

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Čermák, Jan, and Kisela, Tomáš. "Note on a discretization of a linear fractional differential equation." Mathematica Bohemica 135.2 (2010): 179-188. <http://eudml.org/doc/38122>.

@article{Čermák2010,
abstract = {The paper discusses basics of calculus of backward fractional differences and sums. We state their definitions, basic properties and consider a special two-term linear fractional difference equation. We construct a family of functions to obtain its solution.},
author = {Čermák, Jan, Kisela, Tomáš},
journal = {Mathematica Bohemica},
keywords = {fractional difference; fractional sum; discrete Mittag-Leffler function; fractional difference; fractional sum; discrete Mittag-Leffler function; linear fractional differential equation},
language = {eng},
number = {2},
pages = {179-188},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Note on a discretization of a linear fractional differential equation},
url = {http://eudml.org/doc/38122},
volume = {135},
year = {2010},
}

TY - JOUR
AU - Čermák, Jan
AU - Kisela, Tomáš
TI - Note on a discretization of a linear fractional differential equation
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 2
SP - 179
EP - 188
AB - The paper discusses basics of calculus of backward fractional differences and sums. We state their definitions, basic properties and consider a special two-term linear fractional difference equation. We construct a family of functions to obtain its solution.
LA - eng
KW - fractional difference; fractional sum; discrete Mittag-Leffler function; fractional difference; fractional sum; discrete Mittag-Leffler function; linear fractional differential equation
UR - http://eudml.org/doc/38122
ER -

References

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  10. Podlubný, I., Fractional Differential Equations, Academic Press, San Diego (1999). (1999) MR1658022

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