336 citations · 1.1k across the 21 of their papers we have counts for
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On a new definition of fractional differintegrals with Mittag-Leffler kernel
Arran Fernandez, Dumitru Baleanu
We introduce and study the properties of a new family of fractional differential and integral operators which are based directly on an iteration process and therefore satisfy a sem…
Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
Arran Fernandez, Dumitru Baleanu, H. M. Srivastava
We consider an integral transform introduced by Prabhakar, involving generalised multi-parameter Mittag-Leffler functions, which can be used to introduce and investigate several di…
Diffusion on middle- Cantor sets
Alireza Khalili Golmankhaneh, Arran Fernandez, Ali Khalili Golmankhaneh +1
In this paper, we study -calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions. Functions…