Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/14325
Title: | Extension of Colombeau algebra to derivatives of arbitrary order D<sup>α</sup>, α ∈ R<inf>+</inf> ∪ {0}. Application to ODEs and PDEs with entire and fractional derivatives | Authors: | Stojanović M. | Issue Date: | 1-Dec-2009 | Journal: | Nonlinear Analysis, Theory, Methods and Applications | Abstract: | We give an extension of Colombeau algebra of generalized functions to fractional derivatives. We apply it in solving ODEs and PDEs with entire and fractional derivatives with respect to temporal and spatial variables. We give applications to ODEs and PDEs driven by fractional derivatives of delta distribution. © 2009 Elsevier Ltd. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/14325 | ISSN: | 0362546X | DOI: | 10.1016/j.na.2009.04.034 |
Appears in Collections: | FTN Publikacije/Publications |
Show full item record
SCOPUSTM
Citations
10
checked on Nov 20, 2023
Page view(s)
5
Last Week
2
2
Last month
0
0
checked on May 10, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.