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Publication detail
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
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" }