Solving PDEs of fractional order using the unified transform method
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Date
2018
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Elsevier Science INC
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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.
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Fractional Calculus, Partial Differential Equations, Fractional Differential Equations, Fokas Method
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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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Source
Applied Mathematics and Computation
Volume
339
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Start Page
738
End Page
749