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

Type

conference paper

Language

English

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.

Keywords

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

Authors

KISELA, T.

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

BibTex

@inproceedings{BUT34721,
  author="Tomáš {Kisela}",
  title="On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation",
  booktitle="Proceedings of FDA'10",
  year="2010",
  pages="264--269",
  publisher="Technical University of Kosice and University of Extremadura",
  address="Badajoz, Španělsko",
  isbn="978-80-553-0487-8"
}