The dynamics of a new chaotic system through the Caputo–Fabrizio and Atanagan–Baleanu fractional operators

Dynamics analysis and cryptographic application of fractional logistic map

(2019) Liguo Yuan et al.   NONLINEAR DYNAMICS

Fractional modeling of blood ethanol concentration system with real data application

(2019) Sania Qureshi et al.   CHAOS

Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods

(2019) K. M. Saad et al.   CHAOS

Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu

(2019) Sania Qureshi et al.   CHAOS SOLITONS & FRACTALS

Chaotic Attractors with Fractional Conformable Derivatives in the Liouville–Caputo Sense and Its Dynamical Behaviors

(2018) Jesús Pérez et al.   Entropy

Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana–Baleanu derivative

(2018) Mustafa Inc et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

New numerical approach for fractional differential equations

(2018) Abdon Atangana et al.   Mathematical Modelling of Natural Phenomena

A new fractional model for the dynamics of the hepatitis B virus using the Caputo-Fabrizio derivative

(2018) Saif Ullah et al.   European Physical Journal Plus

Fundamental solutions to electrical circuits of non-integer order via fractional derivatives with and without singular kernels

(2018) J. F. Gómez-Aguilar   European Physical Journal Plus

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

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

Chaotic behaviour in system of noninteger-order ordinary differential equations

(2018) Kolade M. Owolabi et al.   CHAOS SOLITONS & FRACTALS

On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel

(2018) B. Cuahutenango-Barro et al.   CHAOS SOLITONS & FRACTALS

Fractional hyper-chaotic model with no equilibrium

(2018) Jyoti Mishra   CHAOS SOLITONS & FRACTALS

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

A new fractional model for tuberculosis with relapse via Atangana–Baleanu derivative

(2018) Muhammad Altaf Khan et al.   CHAOS SOLITONS & FRACTALS

Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations

(2018) Abdullahi Yusuf et al.   CHAOS SOLITONS & FRACTALS

Modeling and analysis of the fractional HBV model with Atangana-Baleanu derivative

(2018) Saif Ullah et al.   European Physical Journal Plus

Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel

(2018) Abdullahi Yusuf et al.   CHAOS

Lag projective synchronization of fractional-order delayed chaotic systems

(2018) Weiwei Zhang et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo

(2017) Zhouchao Wei et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Fractional Hunter-Saxton equation involving partial operators with bi-order in Riemann-Liouville and Liouville-Caputo sense

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

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

(2017) Mekkaoui Toufik et al.   European Physical Journal Plus

A New Chaotic System With Stable Equilibrium: From Theoretical Model to Circuit Implementation

(2017) Xiong Wang et al.   IEEE Access

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

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

An efficient simulation of the fractional chaotic system and its synchronization

(2016) Daliang Su et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Bifurcation analysis and circuit realization for multiple-delayed Wang–Chen system with hidden chaotic attractors

(2016) Zhouchao Wei et al.   NONLINEAR DYNAMICS

A new 3D chaotic system: Dynamical analysis, electronic circuit design, active control synchronization and chaotic masking communication application

(2016) S. Çiçek et al.   OPTIK

Research progress of multi-scroll chaotic oscillators based on current-mode devices

(2016) Fei Yu et al.   OPTIK

Electronic circuit design, implementation and FPGA-based realization of a new 3D chaotic system with single equilibrium point

(2016) Murat Tuna et al.   OPTIK

Hidden attractors in dynamical systems

(2016) Dawid Dudkowski et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

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

(2016) Abdon Atangana et al.   Thermal Science

Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system

(2015) Zhouchao Wei et al.   NONLINEAR DYNAMICS

Image watermarking using chaotic map and DNA coding

(2015) Bin Wang et al.   OPTIK

A chaotic path planning generator for autonomous mobile robots

(2012) Ch.K. Volos et al.   ROBOTICS AND AUTONOMOUS SYSTEMS