On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio derivation

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

(2018) Abdon Atangana   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

(2018) Abdon Atangana et al.   European Physical Journal Plus

Blind in a commutative world: Simple illustrations with functions and chaotic attractors

(2018) Abdon Atangana   CHAOS SOLITONS & FRACTALS

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

(2018) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

The extended fractional Caputo–Fabrizio derivative of order 0≤σ

(2018) Dumitru Baleanu et al.   Advances in Difference Equations

A new derivative with normal distribution kernel: Theory, methods and applications

(2017) Abdon Atangana et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative

(2017) Dumitru Baleanu et al.   Advances in Difference Equations

New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications

(2017) J. F. Gómez-Aguilar et al.   European Physical Journal Plus

Comparing the Atangana–Baleanu and Caputo–Fabrizio derivative with fractional order: Allen Cahn model

(2016) Obaid Jefain Julaighim Algahtani   CHAOS SOLITONS & FRACTALS

Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation

(2016) Abdon Atangana et al.   Advances in Difference Equations

Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel

(2015) José Gómez-Aguilar et al.   Entropy

Some existence results on nonlinear fractional differential equations

(2013) D. Baleanu et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces

(2013) Dumitru Baleanu et al.   Boundary Value Problems