Publication detail

Asymptotic integration of fractional differential equations with integrodifferential right-hand side

MEDVEĎ, M. POSPÍŠIL, M.

Original Title

Asymptotic integration of fractional differential equations with integrodifferential right-hand side

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper we deal with the problem of asymptotic integration of a class of fractional differential equations of the Caputo type. The left-hand side of such type of equation is the Caputo derivative of the fractional order r is an element of (n - 1, n) of the solution, and the right-hand side depends not only on ordinary derivatives up to order n - 1 but also on the Caputo derivatives of fractional orders 0 < r(1) < . . . < r(m) < r, and the Riemann-Liouville fractional integrals of positive orders. We give some conditions under which for any global solution x(t) of the equation, there is a constant c is an element of R such that x(t) = ct(R) + o(t(R)) as t --> infinity where R = max{n - 1, r(m)}.

Keywords

Caputo fractional derivative; nonlinear equation; asymptotic property; desingularization.

Authors

MEDVEĎ, M.; POSPÍŠIL, M.

RIV year

2015

Released

20. 7. 2015

Publisher

Vilnius Gediminas Technical University

ISBN

1392-6292

Periodical

Mathematical Modelling and Analysis

Year of study

20

Number

4

State

Republic of Lithuania

Pages from

471

Pages to

489

Pages count

19

URL

https://journals.vgtu.lt/index.php/MMA/article/view/1014

Full text in the Digital Library

http://hdl.handle.net/11012/201155

BibTex

@article{BUT115801,
  author="Milan {Medveď} and Michal {Pospíšil}",
  title="Asymptotic integration of fractional differential equations with integrodifferential right-hand side",
  journal="Mathematical Modelling and Analysis",
  year="2015",
  volume="20",
  number="4",
  pages="471--489",
  doi="10.3846/13926292.2015.1068233",
  issn="1392-6292",
  url="https://journals.vgtu.lt/index.php/MMA/article/view/1014"
}