Abdon Atangana

发表

Chaos on the Vallis Model for El Niño with Fractional Operators

Badr Saad T. Alkahtani, Abdon Atangana, A. Atangana, 2016, Entropy.

Convergence and stability analysis of a novel iteration method for fractional biological population equation

Abdon Atangana, 2014, Neural Computing and Applications.

Application of stationary wavelet entropy in pathological brain detection

Sidan Du, Aijun Liu, Shuihua Wang, 2018, Multimedia Tools and Applications.

Preface on "New trends of numerical and analytical methods"

Abdon Atangana, José Francisco Gómez-Aguilar, Jordan Y. Hristov, 2020 .

Exact Solutions Fractional Heat-Like and Wave-Like Equations with Variable Coefficients

Abdon Atangana, 2013 .

New numerical method for ordinary differential equations: Newton polynomial

Abdon Atangana, Seda İğret Araz, A. Atangana, 2020, J. Comput. Appl. Math..

Preface: New trends on numerical analysis and analytical methods with their applications to real world problems

Abdon Atangana, Zakia Hammouch, Kolade M. Owolabi, 2019 .

Dynamics of Ebola Disease in the Framework of Different Fractional Derivatives

Abdon Atangana, Muhammad Altaf Khan, M. Khan, 2019, Entropy.

On Uncertain-Fractional Modeling: The Future Way of Modeling Real-World Problems

Abdon Atangana, Ilknur Koca, 2017 .

Power and exponentials laws: Theory and application

Abdon Atangana, José Francisco Gómez-Aguilar, J. F. Gómez‐Aguilar, 2019, J. Comput. Appl. Math..

Drawdown in prolate spheroidal-spherical coordinates obtained via Green's function and perturbation methods

Abdon Atangana, 2014, Commun. Nonlinear Sci. Numer. Simul..

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

Abdon Atangana, Toufik Mekkaoui, 2019, Chaos.

A novel model for the lassa hemorrhagic fever: deathly disease for pregnant women

Abdon Atangana, 2015, Neural Computing and Applications.

Hybrid Watermarking Algorithm using Finite Radon and Fractional Fourier Transform

Abdon Atangana, J. B. Sharma, Sunil Dutt Purohit, 2017, Fundam. Informaticae.

Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus

Abdon Atangana, A. Atangana, 2016 .

Modeling the spread of Rubella disease using the concept of with local derivative with fractional parameter : Beta-Derivative

Badr Saad T. Alkahtani, Abdon Atangana, A. Atangana, 2016, Complex..

On the stability and convergence of the time-fractional variable order telegraph equation

Abdon Atangana, A. Atangana, 2015, J. Comput. Phys..

Models of fluid flowing in non-conventional media: New numerical analysis

Abdon Atangana, Sonal Jain, A. Atangana, 2020, Discrete & Continuous Dynamical Systems - S.

Fractional calculus with power law: The cradle of our ancestors⋆

Abdon Atangana, Zakia Hammouch, A. Atangana, 2019, The European Physical Journal Plus.

Modelling the Spread of River Blindness Disease via the Caputo Fractional Derivative and the Beta-derivative

Abdon Atangana, Rubayyi T. Alqahtani, A. Atangana, 2016, Entropy.

Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives

Abdon Atangana, Victor Fabian Morales-Delgado, José Francisco Gómez-Aguilar, 2017, Int. J. Circuit Theory Appl..

The Caputo-Fabrizio fractional derivative applied to a singular perturbation problem

Abdon Atangana, Emile-Franc Doungmo Goufo, 2019, Int. J. Math. Model. Numer. Optimisation.

Mathematical Modeling and Soft Computing in Epidemiology

Abdon Atangana, Jyoti Mishra, Ritu Agarwal, 2020 .

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

Devendra Kumar, Abdon Atangana, Jagdev Singh, 2018, Appl. Math. Comput..

Fractional stochastic modelling illustration with modified Chua attractor

Abdon Atangana, Seda İğret Araz, 2019 .

Biological Model of Dengue Spread with Non-Markovian Properties

Abdon Atangana, Sonal Jain, 2018 .

On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation

Abdon Atangana, A. Atangana, 2016, Appl. Math. Comput..

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

Badr Saad T. Alkahtani, Abdon Atangana, A. Atangana, 2015, Entropy.

Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel

Abdon Atangana, Ilknur Koca, A. Atangana, 2017, Fundam. Informaticae.

Numerical method for fractal differential equations

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Numerical scheme for partial differential equations with integer and non-integer order

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Some stochastic chaotic attractors with global derivative and stochastic fractal mapping: Existence, uniqueness and applications

Abdon Atangana, 2021 .

Application to non-linear ordinary differential equations

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Corrigendum: New numerical approach for fractional differential equations

Abdon Atangana, Kolade M. Owolabi, 2021, Mathematical Modelling of Natural Phenomena.

Preface: Special issue on perspectives in nonlinear analysis

Abdon Atangana, Zakia Hammouch, 2021 .

Application to non-linear partial differential equations

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator

Abdon Atangana, Edson Pindza, Kolade M. Owolabi, 2021, Chaos, Solitons & Fractals.

On a new type of fractional difference operators on h-step isolated time scales

Abdon Atangana, Thabet Abdeljawad, Fahd Jarad, 2021 .

Strange Attractors and Optimal Analysis of Chaotic Systems based on Fractal verses Fractional Differential Operators

Abdon Atangana, Kashif Ali Abro, 2021, International Journal of Modelling and Simulation.

Reliability analysis incorporating exponentiated inverse Weibull distribution and inverse power law

Abdon Atangana, Tabassum Naz Sindhu, A. Atangana, 2021, Qual. Reliab. Eng. Int..

Two-steps Lagrange polynomial interpolation: numerical scheme

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Application to linear partial differential equations

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

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

Abdon Atangana, Kolade M. Owolabi, 2021, ArXiv.

Modeling third waves of Covid-19 spread with piecewise differential and integral operators: Turkey, Spain and Czechia

Abdon Atangana, Seda İğret Araz, 2021 .

Newton interpolation: introduction of the scheme for classical calculus

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Application to linear ordinary differential equations

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Application to system of non-linear partial differential equations

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Fractional and fractal advection-dispersion model

Abdon Atangana, Toufik Mekkaoui, Amy Allwright, 2021, Discrete & Continuous Dynamical Systems - S.

Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems

Abdon Atangana, José Francisco Gómez-Aguilar, Kolade M. Owolabi, 2021, Discrete & Continuous Dynamical Systems - S.

Numerical method for a fractional differential equation with power-law kernel

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

Numerical method for a fractional differential equation with the generalized Mittag-Leffler kernel

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

A new financial chaotic model in Atangana-Baleanu stochastic fractional differential equations

Abdon Atangana, Chen Liping, Sunil Kumar, 2021 .

Application to a system of ordinary differential equations

Abdon Atangana, Seda İğret Araz, 2021, New Numerical Scheme with Newton Polynomial.

A novel Covid-19 model with fractional differential operators with singular and non-singular kernels: Analysis and numerical scheme based on Newton polynomial

Abdon Atangana, Seda İğret Araz, A. Atangana, 2021, Alexandria Engineering Journal.

New concept in calculus: Piecewise differential and integral operators

Abdon Atangana, Seda İğret Araz, Seda İğret Araz, 2021 .

Numerical solution of a fractal-fractional order chaotic circuit system

Abdon Atangana, Ebraheem O. Alzahrani, Taseer Muhammad, 2021 .

Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative

Abdon Atangana, Kolade M. Owolabi, A. Atangana, 2019, Chaos, Solitons & Fractals.

The role of power decay, exponential decay and Mittag-Leffler function’s waiting time distribution: Application of cancer spread

Abdon Atangana, Sonal Jain, A. Atangana, 2018, Physica A: Statistical Mechanics and its Applications.

Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems

Abdon Atangana, Amy Allwright, A. Atangana, 2020, Discrete & Continuous Dynamical Systems - S.

Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

Dumitru Baleanu, Abdon Atangana, A. Atangana, 2017 .

New direction in fractional differentiation

Abdon Atangana, Ilknur Koca, A. Atangana, 2017 .

Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller–Segel equations

Abdon Atangana, A. Atangana, 2015 .

New two step Laplace Adam‐Bashforth method for integer a noninteger order partial differential equations

Abdon Atangana, A. Atangana, Rodrigue Gnitchogna Batogna, 2017, 1708.01417.

Can transfer function and Bode diagram be obtained from Sumudu transform

Abdon Atangana, Ali Akgül, A. Atangana, 2020 .

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

Abdon Atangana, Aydin Secer, A. Atangana, 2013 .

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

Abdon Atangana, A. Atangana, K. M. Owolabi, 2019, Chaos.

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

Abdon Atangana, 2013 .

Stability Analysis of Nonlinear Thin Viscous Fluid Sheet Flow Equation with Local Fractional Variable Order Derivative

Abdon Atangana, Rubayyi T. Alqahtani, A. Atangana, 2016 .

A numerical schemes and comparisons for fixed point results with applications to the solutions of Volterra integral equations indislocatedextendedb-metricspace

Abdon Atangana, Erdal Karapınar, Sumati Kumari Panda, 2020 .

On the Mathematical Analysis of Ebola Hemorrhagic Fever: Deathly Infection Disease in West African Countries

Abdon Atangana, Emile Franc Doungmo Goufo, A. Atangana, 2014, BioMed research international.

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

Abdon Atangana, J. F. Gómez-Aguilar, J. F. Gómez‐Aguilar, 2017 .

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

Abdon Atangana, A. Atangana, 2018, Physica A: Statistical Mechanics and its Applications.

Modelling groundwater fractal flow with fractional differentiation via Mittag-Leffler law

Abdon Atangana, A. Atangana, D. Vermeulen, 2017 .

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

Abdon Atangana, José Francisco Gómez-Aguilar, A. Atangana, 2018 .

Role of non-integer and integer order differentiations on the relaxation phenomena of viscoelastic fluid

Abdon Atangana, Kashif Ali Abro, A. Atangana, 2020, Physica Scripta.

New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative

Badr Saad T. Alkahtani, Abdon Atangana, A. Atangana, 2015, Arabian Journal of Geosciences.

The Caputo-Fabrizio fractional derivative applied to a singular perturbation problem

Abdon Atangana, Emile Franc Doungmo Goufo, 2019, International Journal of Mathematical Modelling and Numerical Optimisation.

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

Abdon Atangana, Sania Qureshi, A. Atangana, 2019, Physica A: Statistical Mechanics and its Applications.

Tumour model with intrusive morphology, progressive phenotypical heterogeneity and memory

Abdon Atangana, Rubayyi T. Alqahtani, 2018 .

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

Abdon Atangana, Ernestine Alabaraoye, 2013 .

Spatiotemporal Dynamics of Fractional Predator–Prey System with Stage Structure for the Predator

Abdon Atangana, Kolade M. Owolabi, 2017 .

Analysis of fractal fractional differential equations

Abdon Atangana, Ali Akgül, Kolade M. Owolabi, 2020 .

On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind

Abdon Atangana, Dinesh Kumar, Sunil Dutt Purohit, 2015 .

Fractional Derivatives with the Power-Law and the Mittag–Leffler Kernel Applied to the Nonlinear Baggs–Freedman Model

Abdon Atangana, José Francisco Gómez-Aguilar, J. F. Gómez‐Aguilar, 2018 .

Analytical and numerical schemes for a derivative with filtering property and no singular kernel with applications to diffusion

Abdon Atangana, Emile Franc Doungmo Goufo, A. Atangana, 2016 .

Application of Fractional Calculus to Epidemiology

Hari M. Srivastava, Carlo Cattani, Abdon Atangana, 2015 .

Conservatory of Kaup-Kupershmidt Equation to the Concept of Fractional Derivative with and without Singular Kernel

Abdon Atangana, Emile Franc Doungmo Goufo, 2018 .

A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative

Abdon Atangana, Emile Franc Doungmo Goufo, A. Atangana, 2015 .

Numerical analysis of time fractional three dimensional diffusion equation

Abdon Atangana, A. Atangana, 2015 .

Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel

Badr Saad T. Alkahtani, Abdon Atangana, A. Atangana, 2015 .

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

Abdon Atangana, P. D. Vermeulen, 2014 .

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

Abdon Atangana, Rubayyi T. Alqahtani, A. Atangana, 2016, Advances in Difference Equations.

Model of Break-Bone Fever via Beta-Derivatives

Abdon Atangana, A. Atangana, Suares Clovis Oukouomi Noutchie, 2014, BioMed research international.

A new nonlinear triadic model of predator–prey based on derivative with non-local and non-singular kernel

Abdon Atangana, Ilknur Koca, Badr Saad T Alkahtani, 2016 .

Derivative with a New Parameter: Theory, Methods and Applications

Abdon Atangana, A. Atangana, 2015 .

On the dynamics of fractional maps with power-law, exponential decay and Mittag–Leffler memory

Abdon Atangana, José Francisco Gómez-Aguilar, Kolade M. Owolabi, 2019, Chaos, Solitons & Fractals.

Strange chaotic attractors under fractal-fractional operators using newly proposed numerical methods

Abdon Atangana, Sania Qureshi, Asif Ali Shaikh, 2019, The European Physical Journal Plus.

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

Abdon Atangana, Juan J. Nieto, J. Nieto, 2015 .

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

Dumitru Baleanu, Abdon Atangana, A. Atangana, 2013 .

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

Abdon Atangana, J. F. Gómez-Aguilar, J. F. Gómez‐Aguilar, 2017 .

Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences

Adem Kilicman, Abdon Atangana, Santanu Saha Ray, 2014 .

A comparative study of convective fluid motion in rotating cavity via Atangana–Baleanu and Caputo–Fabrizio fractal–fractional differentiations

Abdon Atangana, Kashif Ali Abro, A. Atangana, 2020 .

Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems

Abdon Atangana, Jordan Yankov Hristov, Jose Francisco Gomez Aguilar, 2020, Chaos, Solitons & Fractals.

Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order

Badr Saad T. Alkahtani, Abdon Atangana, A. Atangana, 2016 .

Theory, Methods, and Applications of Fractional Calculus

Abdon Atangana, Adem Kiliçman, Santanu Saha Ray, 2014, TheScientificWorldJournal.

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

Adem Kilicman, Abdon Atangana, A. Kılıçman, 2013 .

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

Abdon Atangana, A. Atangana, 2018, Chaos, Solitons & Fractals.

Numerical solution of fractional-in-space nonlinear Schrödinger equation with the Riesz fractional derivative

Abdon Atangana, Kolade M. Owolabi, A. Atangana, 2016 .

Finite Difference Approximations

Abdon Atangana, Kolade M. Owolabi, A. Atangana, 2019, Numerical Methods for Fractional Differentiation.

High-order solvers for space-fractional differential equations with Riesz derivative

Abdon Atangana, A. Atangana, K. M. Owolabi, 2019, Discrete & Continuous Dynamical Systems - S.

On the new fractional derivative and application to nonlinear Baggs and Freedman model

Abdon Atangana, Ilknur Koca, A. Atangana, 2016 .

Computational Analysis of the Model Describing HIV Infection of CD4+T Cells

Abdon Atangana, Emile Franc Doungmo Goufo, A. Atangana, 2014, BioMed research international.

A new numerical approximation of the fractal ordinary differential equation

Abdon Atangana, Sonal Jain, A. Atangana, 2018 .

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

Abdon Atangana, Muhammad Altaf Khan, M. Khan, 2020, Alexandria Engineering Journal.

Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems

Abdon Atangana, Emile Franc Doungmo Goufo, A. Atangana, 2014 .

Modeling attractors of chaotic dynamical systems with fractal–fractional operators

Abdon Atangana, Sania Qureshi, A. Atangana, 2019, Chaos, Solitons & Fractals.

Fractal advection-dispersion equation for groundwater transport in fractured aquifers with self-similarities

Abdon Atangana, A. Atangana, A. Allwright, 2018 .

Partial Fractional Equations and Their Applications

Samir Brahim Belhaouari, Hossein Jafari, Mustafa Bayram, 2015 .

Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations

Abdon Atangana, Kolade M. Owolabi, A. Atangana, 2018, Chaos, Solitons & Fractals.

Analysis of non-homogeneous heat model with new trend of derivative with fractional order

Badr Saad T. Alkahtani, Abdon Atangana, A. Atangana, 2016 .

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

Abdon Atangana, S. C. Oukouomi Noutchie, A. Atangana, 2013 .

An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels

Abdon Atangana, Mohammad Hossein Heydari, 2020 .

Validity of fractal derivative to capturing chaotic attractors

Abdon Atangana, Muhammad Altaf Khan, M. Khan, 2019, Chaos, Solitons & Fractals.

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

Abdon Atangana, A. Atangana, 2017 .

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

Abdon Atangana, José Francisco Gómez-Aguilar, J. F. Gómez‐Aguilar, 2018, Chaos, Solitons & Fractals.

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

Abdon Atangana, Kolade M. Owolabi, A. Atangana, 2017 .

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

Abdon Atangana, Ebenezer Bonyah, Muhammad Altaf Khan, 2017 .

Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives

Abdon Atangana, Ilknur Koca, A. Atangana, 2017 .

Approximate Solution of Tuberculosis Disease Population Dynamics Model

Abdon Atangana, Necdet Bildik, 2013 .

Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws

Abdon Atangana, José Francisco Gómez-Aguilar, J. F. Gómez‐Aguilar, 2017 .

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

Dumitru Baleanu, Abdon Atangana, A. Atangana, 2013 .

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

Dumitru Baleanu, Abdon Atangana, K. Saad, 2018, Chaos.

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

Abdon Atangana, Kolade M. Owolabi, Ali Akgul, 2020 .

Computational study of multi-species fractional reaction-diffusion system with ABC operator

Abdon Atangana, Kolade M. Owolabi, A. Atangana, 2019, Chaos, Solitons & Fractals.