336 citations · 1.1k across the 21 of their papers we have counts for
Showing math.CVShow all
2 papers · 1 filter
math.CV2019★ 32 cited
A complex analysis approach to Atangana-Baleanu fractional calculus
Arran Fernandez
The standard definition for the Atangana-Baleanu fractional derivative involves an integral transform with a Mittag-Leffler function in the kernel. We show that this integral can b…
math.CV2018★ 5 cited
The Lerch zeta function as a fractional derivative
Arran Fernandez
We derive and prove a new formulation of the Lerch zeta function as a fractional derivative of an elementary function. We demonstrate how this formulation interacts very naturally…