336 citations · 526 across the 18 of their papers we have counts for
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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…
On some new properties of fractional derivatives with Mittag-Leffler kernel
Dumitru Baleanu, Arran Fernandez
We establish a new formula for the fractional derivative with Mittag-Leffler kernel, in the form of a series of Riemann-Liouville fractional integrals, which brings out more clearl…
Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
Thabet Abdeljawad, Dumitru Baleanu
In this manuscript we define the right fractional derivative and its corresponding right fractional integral for the recently introduced nonlocal fractional derivative with Mittag-…