Solving PDEs of fractional order using the unified transform method

Arran Fernandez, Dumitru Baleanu and Athanassios S. Fokas

Applied Mathematics and Computation, 2018, vol. 339, issue C, 738-749

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.

Keywords: Fractional calculus; Partial differential equations; Fractional differential equations; Fokas method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:738-749

DOI: 10.1016/j.amc.2018.07.061

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