Solving Pdes of Fractional Order Using the Unified Transform Method
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Open Access Color
BRONZE
Green Open Access
Yes
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No
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Top 10%
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Abstract
We consider the unified transform method, also known as the Fokas method, for solving partial differential equations. We adapt and modify the methodology, incorporating new ideas where necessary, in order to apply it to solve a large class of partial differential equations of fractional order. We demonstrate the applicability of the method by implementing it to solve a model fractional problem. (C) 2018 Elsevier Inc. All rights reserved.
Description
Thanasis/0000-0002-1198-1081; Fokas, Athanassios/0000-0002-5881-802X; Fernandez, Arran/0000-0002-1491-1820
Keywords
Fractional Calculus, Partial Differential Equations, Fractional Differential Equations, Fokas Method, Mathematics - Analysis of PDEs, Mathematics - Complex Variables, FOS: Mathematics, 35R11, 35A22, Complex Variables (math.CV), Analysis of PDEs (math.AP), Fokas method, partial differential equations, fractional differential equations, fractional calculus, Fractional partial differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S., "Solving PDEs of fractional order using the unified transform method", Applied Mathematics and Computation, Vol. 339, pp. 738-749, (2018).
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OpenCitations Citation Count
25
Volume
339
Issue
Start Page
738
End Page
749
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CrossRef : 21
Scopus : 52
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