Abdon Atangana

Research interests

Publications

• New concept in calculus: Piecewise differential and integral operators

  Chaos Solitons & Fractals · 2021 · https://doi.org/10.1016/j.chaos.2020.110638

• Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

  Alexandria Engineering Journal · 2020 · https://doi.org/10.1016/j.aej.2020.02.033

• Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

  Alexandria Engineering Journal · 2020 · https://doi.org/10.1016/j.aej.2020.03.022

• Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?

  Chaos Solitons & Fractals · 2020 · https://doi.org/10.1016/j.chaos.2020.109860

• Analysis of fractal fractional differential equations

  Alexandria Engineering Journal · 2020 · https://doi.org/10.1016/j.aej.2020.01.005

• Modeling and forecasting of epidemic spreading: The case of Covid-19 and beyond

  Chaos Solitons & Fractals · 2020 · https://doi.org/10.1016/j.chaos.2020.109794

• The dynamics of COVID-19 with quarantined and isolation

  Advances in Difference Equations · 2020 · https://doi.org/10.1186/s13662-020-02882-9

• Mathematical analysis of dengue fever outbreak by novel fractional operators with field data

  Physica A Statistical Mechanics and its Applications · 2019 · https://doi.org/10.1016/j.physa.2019.121127

• Modeling attractors of chaotic dynamical systems with fractal–fractional operators

  Chaos Solitons & Fractals · 2019 · https://doi.org/10.1016/j.chaos.2019.04.020

• A new application of fractional Atangana–Baleanu derivatives: Designing ABC-fractional masks in image processing

  Physica A Statistical Mechanics and its Applications · 2019 · https://doi.org/10.1016/j.physa.2019.123516

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

  Physica A Statistical Mechanics and its Applications · 2018 · https://doi.org/10.1016/j.physa.2018.03.056

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

  The European Physical Journal Plus · 2018 · https://doi.org/10.1140/epjp/i2018-12021-3

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

  Chaos Solitons & Fractals · 2018 · https://doi.org/10.1016/j.chaos.2018.07.033

• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

  Applied Mathematics and Computation · 2017 · https://doi.org/10.1016/j.amc.2017.08.048

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

  Numerical Methods for Partial Differential Equations · 2017 · https://doi.org/10.1002/num.22195

• Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system

  Chaos Solitons & Fractals · 2017 · https://doi.org/10.1016/j.chaos.2017.04.027

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

  The European Physical Journal Plus · 2017 · https://doi.org/10.1140/epjp/i2017-11717-0

• Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

  Journal of Engineering Mechanics · 2016 · https://doi.org/10.1061/(asce)em.1943-7889.0001091

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

  Chaos Solitons & Fractals · 2016 · https://doi.org/10.1016/j.chaos.2016.02.012

• Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal

  Open Physics · 2016 · https://doi.org/10.1515/phys-2016-0010

• Analysis of the Keller–Segel Model with a Fractional Derivative without Singular Kernel

  Entropy · 2015 · https://doi.org/10.3390/e17064439

• Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel

  Advances in Mechanical Engineering · 2015 · https://doi.org/10.1177/1687814015613758

• On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation

  Applied Mathematics and Computation · 2015 · https://doi.org/10.1016/j.amc.2015.10.021

• New properties of conformable derivative

  Open Mathematics · 2015 · https://doi.org/10.1515/math-2015-0081

• A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions

  Abstract and Applied Analysis · 2013 · https://doi.org/10.1155/2013/279681

Current projects

No projects listed.