Detail publikace

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

KISELA, T.

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

KISELA, T.

Rok RIV

2010

Vydáno

18. 10. 2010

Nakladatel

Technical University of Kosice and University of Extremadura

Místo

Badajoz, Španělsko

ISBN

978-80-553-0487-8

Kniha

Proceedings of FDA'10

Strany od

264

Strany do

269

Strany počet

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"
}