336 citations · 526 across the 18 of their papers we have counts for
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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…
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…
Optimal chemotherapy and immunotherapy schedules for a cancer-obesity model with Caputo time fractional derivative
Tuğba Akman Yıldız, Sadia Arshad, Dumitru Baleanu
This work presents a new mathematical model to depict the effect of obesity on cancerous tumor growth when chemotherapy as well as immunotherapy have been administered. We consider…