Modelling, analysis and simulations of some chaotic systems using derivative with Mittag–Leffler kernel

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

Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability

Yan Li, YangQuan Chen, Igor Podlubný · Computers & Mathematics with Applications · 2009 · 1.6K citations

Natural Sciences, Mathematics, Differential Equations +12

Lyapunov functions for fractional order systems

Norelys Aguila‐Camacho, Manuel A. Duarte‐Mermoud, Javier A. Gallegos · Communications in Nonlinear Science and Numerical Simulation · 2014 · 1.4K citations · Full text

Natural Sciences, Mathematics, Differential Equations +12

New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models

Toufik Mekkaoui, Abdon Atangana · The European Physical Journal Plus · 2017 · 559 citations

Natural Sciences, Mathematics, Physics +12