336 citations · 1.1k across the 21 of their papers we have counts for
Showing 2018 · math.APShow all
2 papers · 2 filters
math.AP2018★ 49 cited
Solving PDEs of fractional order using the unified transform method
Arran Fernandez, Dumitru Baleanu, Athanassios S. Fokas
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 w…
math.AP2018★ 14 cited
An elliptic regularity theorem for fractional partial differential operators
Arran Fernandez
We present and prove a version of the elliptic regularity theorem for partial differential equations involving fractional Riemann-Liouville derivatives. In this case, regularity is…