Publication detail

On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation

KISELA, T.

Original Title

On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation

English Title

On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation

Type

conference paper

Language

en

Original Abstract

Fractional differential equations with Riemann-Liouville differential operator appear in many applications. Considering these problems, initial or boundary conditions are naturally given via noninteger order integrals and derivatives. In this paper we focus on a test linear initial-value problem with Riemann-Liouville fractional derivative. We are going to introduce a discretization of this problem which allows to involve initial conditions of a noninteger order. We illustrate it by a few examples.

English abstract

Fractional differential equations with Riemann-Liouville differential operator appear in many applications. Considering these problems, initial or boundary conditions are naturally given via noninteger order integrals and derivatives. In this paper we focus on a test linear initial-value problem with Riemann-Liouville fractional derivative. We are going to introduce a discretization of this problem which allows to involve initial conditions of a noninteger order. We illustrate it by a few examples.

Keywords

Riemann-Liouville operator, initial-value problem, discretization, sequential algorithms

RIV year

2010

Released

18.10.2010

Publisher

Technical University of Kosice and University of Extremadura

Location

Badajoz, Španělsko

ISBN

978-80-553-0487-8

Book

Proceedings of FDA'10

Pages from

264

Pages to

269

Pages count

6

Documents

BibTex


@inproceedings{BUT34721,
  author="Tomáš {Kisela}",
  title="On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation",
  annote="Fractional differential equations with Riemann-Liouville differential operator appear in many applications. Considering these problems, initial or boundary conditions are naturally given via noninteger order integrals and derivatives. In this paper we focus on a test linear
initial-value problem with Riemann-Liouville fractional derivative. We are going to introduce a discretization of this problem which allows to involve initial conditions of a noninteger order. We illustrate it by a few examples.",
  address="Technical University of Kosice and University of Extremadura",
  booktitle="Proceedings of FDA'10",
  chapter="34721",
  howpublished="electronic, physical medium",
  institution="Technical University of Kosice and University of Extremadura",
  year="2010",
  month="october",
  pages="264--269",
  publisher="Technical University of Kosice and University of Extremadura",
  type="conference paper"
}