Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative

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

Dumitru Bǎleanu · DOAJ (DOAJ: Directory of Open Access Journals) · 2016 · 3.9K citations · Full text

Engineering, Mechanical Engineering, Physics +11

A new Definition of Fractional Derivative without Singular Kernel

Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations

Natural Sciences, Mathematics, Physics +10

Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order

Abdon Atangana, İlknur Koca · Chaos Solitons & Fractals · 2016 · 857 citations

Natural Sciences, Mathematics, Physics +10

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 · 476 citations

Veterinary Medicine, Biology, Infectious Diseases +8

On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative

Fahd Jarad, Thabet Abdeljawad, Zakia Hammouch · Chaos Solitons & Fractals · 2018 · 343 citations

Natural Sciences, Mathematics, Derivatives +7