Linear differential equations of fractional order with recurrence relationship
This paper introduces the basic general theory for Linear Sequential Fractional Differential Equations which include a recurrence relationship, involving the Riemann-Liouville fractional operator. The presented equation is not a generalization of the known sequential linear fractional differential...
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Natural Sciences Publishing
2024
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Acceso en línea: | http://repositorio.unne.edu.ar/handle/123456789/54569 |
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I48-R184-123456789-545692025-03-06T11:02:07Z Linear differential equations of fractional order with recurrence relationship Luque, Luciano Leonardo Fractional differential equation Linear difference equation Recurrence relationship This paper introduces the basic general theory for Linear Sequential Fractional Differential Equations which include a recurrence relationship, involving the Riemann-Liouville fractional operator. The presented equation is not a generalization of the known sequential linear fractional differential equations, but both are closely related. 2024-07-28T17:53:36Z 2024-07-28T17:53:36Z 2021-06-01 Artículo Luciano Leonardo Luque, 2021. Linear differential equations of fractional order with recurrence relationship. Progress in Fractional Differentiation and Applications. Natural Sciences Publishing. Nueva York: Natural Sciences Publishing, vol. 7, no. 1, p. 1-21. E-ISSN 2356-9344. 2356-9336 http://repositorio.unne.edu.ar/handle/123456789/54569 eng https://www.naturalspublishing.com/files/published/6xh43j3sv72c6j.pdf openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 1-21 application/pdf Natural Sciences Publishing Progress in Fractional Differentiation and Applications, 2021, vol. 7, no. 1, p. 1-21. |
institution |
Universidad Nacional del Nordeste |
institution_str |
I-48 |
repository_str |
R-184 |
collection |
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) |
language |
Inglés |
topic |
Fractional differential equation Linear difference equation Recurrence relationship |
spellingShingle |
Fractional differential equation Linear difference equation Recurrence relationship Luque, Luciano Leonardo Linear differential equations of fractional order with recurrence relationship |
topic_facet |
Fractional differential equation Linear difference equation Recurrence relationship |
description |
This paper introduces the basic general theory for Linear Sequential Fractional Differential Equations which include a
recurrence relationship, involving the Riemann-Liouville fractional operator. The presented equation is not a generalization of the
known sequential linear fractional differential equations, but both are closely related. |
format |
Artículo |
author |
Luque, Luciano Leonardo |
author_facet |
Luque, Luciano Leonardo |
author_sort |
Luque, Luciano Leonardo |
title |
Linear differential equations of fractional order with recurrence relationship |
title_short |
Linear differential equations of fractional order with recurrence relationship |
title_full |
Linear differential equations of fractional order with recurrence relationship |
title_fullStr |
Linear differential equations of fractional order with recurrence relationship |
title_full_unstemmed |
Linear differential equations of fractional order with recurrence relationship |
title_sort |
linear differential equations of fractional order with recurrence relationship |
publisher |
Natural Sciences Publishing |
publishDate |
2024 |
url |
http://repositorio.unne.edu.ar/handle/123456789/54569 |
work_keys_str_mv |
AT luquelucianoleonardo lineardifferentialequationsoffractionalorderwithrecurrencerelationship |
_version_ |
1832345027395715072 |