A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs
Date
2017
Authors
Baleanu, Dumitru
Fernandez, Arran
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Publisher
Univ Szeged, Bolyai Institute
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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.
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Keywords
Fractional Derivatives, Fundamental Solutions, Linear Partial Differential Equations, Constructive Solutions
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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
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Source
Electronic Journal Of Qualitative Theory Of Differential Equations
Volume
Issue
15
Start Page
1
End Page
12