Detail publikace

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

KISELA, T.

Anglický název

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

Typ

Článek WoS

Jazyk

en

Originální abstrakt

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.

Klíčová slova anglicky

fractional differential equation; variable coefficients; stability; asymptotic behaviour

Vydáno

2017-12-08

ISSN

1512-0015

Časopis

Memoirs on Differential Equations and Mathematical Physics

Ročník

72

Číslo

1

Strany od–do

71–78

Počet stran

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"
}