Publication detail

On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient

KISELA, T.

English title

On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient

Type

WoS Article

Language

en

Original abstract

The paper deals with qualitative analysis of solutions of a test linear differential equation involving variable coefficient and derivative of non-integer order. We formulate upper and lower estimates for these solutions depending on boundedness of the variable coefficient. In the special case of asymptotically constant coefficient, we present the sufficient (and nearly necessary) conditions for the convergence of solutions to zero.

Keywords in English

fractional differential equation; variable coefficients; stability; asymptotic behaviour

Released

2017-12-08

ISSN

1512-0015

Volume

72

Number

1

Pages from–to

71–78

Pages count

8

BIBTEX


@article{BUT142560,
  author="Tomáš {Kisela}",
  title="On asymptotic behaviour of solutions of a linear fractional differential equation with a variable coefficient",
  journal="Memoirs on Differential Equations and Mathematical Physics",
  year="2017",
  volume="72",
  number="1",
  pages="71--78",
  issn="1512-0015"
}