List of works - Abdon Atangana

A Generalized Version of a Low Velocity Impact between a Rigid Sphere and a Transversely Isotropic Strain-Hardening Plate Supported by a Rigid Substrate Using the Concept of Noninteger Derivatives

A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation

article published in 2014

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

article by Abdon Atangana & Aydin Secer published 2013 in Abstract and Applied Analysis

A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation

article by Abdon Atangana published 2013 in Abstract and Applied Analysis

A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities

article by Abdon Atangana & Adem Kılıçman published 2013 in Mathematical Problems in Engineering

A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order

article by Abdon Atangana & Adem Kılıçman published 2013 in Mathematical Problems in Engineering

A comparative study of three numerical schemes for solving Atangana–Baleanu fractional integro-differential equation defined in Caputo sense

scientific article published on 20 August 2020

A fractional model for predator-prey with omnivore

scientific article published on 01 January 2019

A generalized groundwater flow equation using the concept of variable-order derivative

article published in 2013

Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform Method

Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method

Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation

Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation

Analytical and Numerical Approaches for Complicated Nonlinear Equations

Approximate Solution of Tuberculosis Disease Population Dynamics Model

article

Approximate solution of cryptosporidiosis model

article

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

Capturing complexities with composite operator and differential operators with non-singular kernel

scientific article published on 01 February 2019

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

article by Abdon Atangana & Ilknur Koca published August 2016 in Chaos, Solitons & Fractals

Closing editorial: Forecasting of epidemic spreading: lessons learned from the current covid-19 pandemic

scientific article published on 12 September 2020

Computational analysis of the model describing HIV infection of CD4+T Cells

scientific article published on 17 July 2014

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

Dynamics of Ebola Disease in the Framework of Different Fractional Derivatives

scientific article published on 21 March 2019

Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind

article by Abdon Atangana & Necdet Bildik published 2013 in Mathematical Problems in Engineering

Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems

Facemasks simple but powerful weapons to protect against COVID-19 spread: Can they have sides effects?

scientific article published on 30 September 2020

Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences

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

Hybrid Watermarking Algorithm using Finite Radon and Fractional Fourier Transform

Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions

Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications

scientific article published on 25 November 2020

Model of break-bone fever via beta-derivatives

scientific article published on 11 September 2014

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

scientific article published on 06 April 2020

Modeling the enzyme kinetic reaction

scientific article published in May 2015

Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative

Modelling the Nonlinear Wave Motion within the Scope of the Fractional Calculus

Modelling the aggregation process of cellular slime mold by the chemical attraction

scientific article published on 8 July 2014

Modelling the formation of liver zones within the scope of fractional order derivative

scientific article published on 8 September 2014

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

scientific article published on 29 May 2020

More generalized groundwater model with space-time caputo Fabrizio fractional differentiation

scholarly article by Jean-Daniel Djida & Abdon Atangana published 6 April 2017 in Numerical Methods for Partial Differential Equations

New Iteration Methods for Time-Fractional Modified Nonlinear Kawahara Equation

New fractional derivatives with non-singular kernel applied to the Burgers equation

scientific article published on 01 June 2018

New nonlinear model of population growth

scientific article published on 24 October 2017

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

Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform

article published in 2013

Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives

Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

article by Abdon Atangana & Dumitru Baleanu published 2013 in Abstract and Applied Analysis

Numerical analysis for the Klein-Gordon equation with mass parameter

Numerical approximation of nonlinear fractional parabolic differential equations with Caputo–Fabrizio derivative in Riemann–Liouville sense

scientific article published on 11 April 2017

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

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

On Multi-Laplace Transform for Solving Nonlinear Partial Differential Equations with Mixed Derivatives

On the Agaciro Equation via the Scope of Green Function

On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection

On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative

On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method

On the Nonlinear PerturbationK(n,m)Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave

On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems

scientific article published on 01 February 2019

On the mathematical analysis of Ebola hemorrhagic fever: deathly infection disease in West African countries

scientific article published on 11 September 2014

On the singular perturbations for fractional differential equation

scientific article published on 9 February 2014

On the solution of an acoustic wave equation with variable-order derivative loss operator

article published in 2013

Parametrized predictor–corrector method for initial value problems with classical and Caputo–Fabrizio derivatives

scientific article published on 23 July 2024

Partial Fractional Equations and Their Applications

article by Abdon Atangana et al published 2015 in Mathematical Problems in Engineering

Retraction: "A fractional model for predator-prey with omnivore" [Chaos, 29, 013136 (2019)]

scientific article published on 01 July 2020

Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method

article by Abdon Atangana & Samir Brahim Belhaouari published 2013 in Mathematical Problems in Engineering

Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations

article

Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer

Stochastic Risk and Uncertainty Analysis for Shale Gas Extraction in the Karoo Basin of South Africa

article

The Time-Fractional Coupled-Korteweg-de-Vries Equations

article

The Use of Fractional Order Derivative to Predict the Groundwater Flow

scientific article

The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations

article published in 2013

The dynamics of COVID-19 with quarantined and isolation

scientific article published on 14 August 2020

Theory, methods, and applications of fractional calculus.

scientific article

List of works by Abdon Atangana

A Generalized Version of a Low Velocity Impact between a Rigid Sphere and a Transversely Isotropic Strain-Hardening Plate Supported by a Rigid Substrate Using the Concept of Noninteger Derivatives

A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation

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

A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation

A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities

A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order

A comparative study of three numerical schemes for solving Atangana–Baleanu fractional integro-differential equation defined in Caputo sense

A fractional model for predator-prey with omnivore

A generalized groundwater flow equation using the concept of variable-order derivative

Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform Method

Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method

Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation

Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation

Analytical and Numerical Approaches for Complicated Nonlinear Equations

Approximate Solution of Tuberculosis Disease Population Dynamics Model

Approximate solution of cryptosporidiosis model

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

Capturing complexities with composite operator and differential operators with non-singular kernel

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

Closing editorial: Forecasting of epidemic spreading: lessons learned from the current covid-19 pandemic

Computational analysis of the model describing HIV infection of CD4+T Cells

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

Dynamics of Ebola Disease in the Framework of Different Fractional Derivatives

Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind

Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems

Facemasks simple but powerful weapons to protect against COVID-19 spread: Can they have sides effects?

Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences

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

Hybrid Watermarking Algorithm using Finite Radon and Fractional Fourier Transform

Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions

Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications

Model of break-bone fever via beta-derivatives

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

Modeling the enzyme kinetic reaction

Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative

Modelling the Nonlinear Wave Motion within the Scope of the Fractional Calculus

Modelling the aggregation process of cellular slime mold by the chemical attraction

Modelling the formation of liver zones within the scope of fractional order derivative

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

More generalized groundwater model with space-time caputo Fabrizio fractional differentiation

New Iteration Methods for Time-Fractional Modified Nonlinear Kawahara Equation

New fractional derivatives with non-singular kernel applied to the Burgers equation

New nonlinear model of population growth

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

Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform

Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives

Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

Numerical analysis for the Klein-Gordon equation with mass parameter

Numerical approximation of nonlinear fractional parabolic differential equations with Caputo–Fabrizio derivative in Riemann–Liouville sense

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

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

On Multi-Laplace Transform for Solving Nonlinear Partial Differential Equations with Mixed Derivatives

On the Agaciro Equation via the Scope of Green Function

On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection

On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative

On the Hamilton-Jacobi-Bellman Equation by the Homotopy Perturbation Method

On the Nonlinear PerturbationK(n,m)Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave

On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems

On the mathematical analysis of Ebola hemorrhagic fever: deathly infection disease in West African countries

On the singular perturbations for fractional differential equation

On the solution of an acoustic wave equation with variable-order derivative loss operator

Parametrized predictor–corrector method for initial value problems with classical and Caputo–Fabrizio derivatives

Partial Fractional Equations and Their Applications

Retraction: "A fractional model for predator-prey with omnivore" [Chaos, 29, 013136 (2019)]

Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method

Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations

Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer

Stochastic Risk and Uncertainty Analysis for Shale Gas Extraction in the Karoo Basin of South Africa

The Time-Fractional Coupled-Korteweg-de-Vries Equations

The Use of Fractional Order Derivative to Predict the Groundwater Flow

The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations

The dynamics of COVID-19 with quarantined and isolation

Theory, methods, and applications of fractional calculus.

Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time