A Generalisation of the Malgrange-Ehrenpreis Theorem To Find Fundamental Solutions To Fractional Pdes
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Szeged, Bolyai institute
Open Access Color
GOLD
Green Open Access
Yes
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OpenAIRE Views
Publicly Funded
No
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Average
Influence
Top 10%
Popularity
Top 10%
Abstract
We present and prove a new generalisation of the Malgrange-Ehrenpreis theorem to fractional partial differential equations, which can be used to construct fundamental solutions to all partial differential operators of rational order and many of arbitrary real order. We demonstrate with some examples and mention a few possible applications.
Description
Fernandez, Arran/0000-0002-1491-1820
ORCID
Keywords
Fractional Derivatives, Fundamental Solutions, Linear Partial Differential Equations, Constructive Solutions, QA Mathematics / matematika, fractional derivatives, QA1-939, fundamental solutions, Mathematics, linear partial differential equations, constructive solutions, 4901 Applied Mathematics, 4904 Pure Mathematics, Fractional partial differential equations, Fractional derivatives and integrals, 49 Mathematical Sciences, Fundamental solutions to PDEs and systems of PDEs with constant coefficients
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Baleanu, Dumitru; Fernandez, Arran (2017). A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs, Electronic Journal Of Qualitative Theory Of Differential Equations, 15, 1-12
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
9
Source
Electronic Journal of Qualitative Theory of Differential Equations
Volume
Issue
15
Start Page
1
End Page
12
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Scopus : 14
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Mendeley Readers : 2
SCOPUS™ Citations
14
checked on Mar 22, 2026
Web of Science™ Citations
13
checked on Mar 22, 2026
Page Views
1
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