FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag–Leffler law

New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

Abdon Atangana, Dumitru Bǎleanu · SHILAP Revista de lepidopterología · 2016 · 3.7K citations · Full text

A new Definition of Fractional Derivative without Singular Kernel

Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations

Smooth Kernel, Fractional-order System, Fractional Dynamic +6

A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

Jagdev Singh, Devendra Kumar, Zakia Hammouch et al. · Applied Mathematics and Computation · 2017 · 469 citations

Infectious Disease Modelling, Epidemiology, Virus Epidemiology +8

Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

Abdon Atangana, J. F. Gómez‐Aguilar · The European Physical Journal Plus · 2018 · 412 citations

Fractional-order System, More Natural Phenomena, Foundation Of Mathematics +3

Fractional derivatives with no-index law property: Application to chaos and statistics

Abdon Atangana, J. F. Gómez‐Aguilar · Chaos Solitons & Fractals · 2018 · 338 citations

Fractional-order System, Chaos Theory, Entropy +5