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

New bilingualism model based on fractional operators with Mittag-Leffler kernel

(2017) J. F. Gomez-Aguilar   JOURNAL OF MATHEMATICAL SOCIOLOGY

Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu

(2017) Abdon Atangana et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Chaos in a nonlinear Bloch system with Atangana-Baleanu fractional derivatives

(2017) J.F. Gómez-Aguilar   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions

(2017) Jordan Hristov   Thermal Science

Analytical solutions for the motion of a charged particle in electric and magnetic fields via non-singular fractional derivatives

(2017) V. F. Morales-Delgado et al.   European Physical Journal Plus

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

(2016) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

Chua's circuit model with Atangana–Baleanu derivative with fractional order

(2016) Badr Saad T. Alkahtani   CHAOS SOLITONS & FRACTALS

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

(2016) Abdon Atangana et al.   Thermal Science

What is a fractional derivative?

(2015) Manuel D. Ortigueira et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solution of diffusion equation with local derivative with new parameter

(2015) Abdon Atangana et al.   Thermal Science

Solving Fractional Delay Differential Equations: A New Approach

(2015) Varsha Daftardar-Gejji et al.   Fractional Calculus and Applied Analysis

No violation of the Leibniz rule. No fractional derivative

(2013) Vasily E. Tarasov   Communications in Nonlinear Science and Numerical Simulation

Violation of Heisenberg’s Measurement-Disturbance Relationship by Weak Measurements

(2012) Lee A. Rozema et al.   PHYSICAL REVIEW LETTERS

Categorified Symplectic Geometry and the Classical String

(2009) John C. Baez et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

On the fractional Adams method

(2009) Changpin Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS