Abdon Atangana
Abdon Atangana
Professor of Applied Mathematics. University of the Free State, South Africa
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New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model
A Atangana, D Baleanu
Thermal Science, 2016
10872016
Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order
A Atangana, I Koca
Chaos, Solitons & Fractals 89, 447-454, 2016
4232016
On the new fractional derivative and application to nonlinear Fisher’s reaction–diffusion equation
A Atangana
Applied Mathematics and Computation 273, 948-956, 2016
3192016
Decolonisation of fractional calculus rules: breaking commutativity and associativity to capture more natural phenomena
A Atangana, JF Gómez-Aguilar
The European Physical Journal Plus 133 (4), 166, 2018
2572018
New properties of conformable derivative
A Atangana, D Baleanu, A Alsaedi
Open Mathematics 1 (open-issue), 2015
2172015
Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties
A Atangana
Physica A: Statistical Mechanics and its Applications 505, 688-706, 2018
2082018
A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
J Singh, D Kumar, Z Hammouch, A Atangana
Applied Mathematics and Computation 316, 504-515, 2018
1832018
Analysis of the Keller–Segel model with a fractional derivative without singular kernel
A Atangana, BST Alkahtani
Entropy 17 (6), 4439-4453, 2015
1762015
A note on fractional order derivatives and table of fractional derivatives of some special functions
A Atangana, A Secer
Abstract and applied analysis 2013, 2013
1592013
Fractional derivatives with no-index law property: application to chaos and statistics
A Atangana, JF Gómez-Aguilar
Chaos, Solitons & Fractals 114, 516-535, 2018
1552018
Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel
A Atangana, JJ Nieto
Advances in Mechanical Engineering 7 (10), 1687814015613758, 2015
1512015
Caputo-Fabrizio derivative applied to groundwater flow within confined aquifer
A Atangana, D Baleanu
Journal of Engineering Mechanics 143 (5), D4016005, 2017
1322017
Numerical approximation of Riemann‐Liouville definition of fractional derivative: from Riemann‐Liouville to Atangana‐Baleanu
A Atangana, JF Gómez‐Aguilar
Numerical Methods for Partial Differential Equations 34 (5), 1502-1523, 2018
1122018
On the stability and convergence of the time-fractional variable order telegraph equation
A Atangana
Journal of Computational Physics 293, 104-114, 2015
1102015
New numerical approximation of fractional derivative with non-local and non-singular kernel: application to chaotic models
M Toufik, A Atangana
The European Physical Journal Plus 132 (10), 444, 2017
1082017
New numerical approach for fractional differential equations
A Atangana, KM Owolabi
Mathematical Modelling of Natural Phenomena 13 (1), 3, 2018
1072018
New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications
JF Gómez-Aguilar, A Atangana
The European Physical Journal Plus 132 (1), 1-21, 2017
1022017
New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative
A Atangana, BST Alkahtani
Arabian Journal of Geosciences 9 (1), 8, 2016
1012016
Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel
A Atangana, BST Alkahtani
Advances in Mechanical Engineering 7 (6), 1687814015591937, 2015
1012015
On the new fractional derivative and application to nonlinear Baggs and Freedman model
AAI Koca
Journal of Nonlinear Sciences and Applications 9, 2467-2480, 2016
862016
El sistema no puede realizar la operación en estos momentos. Inténtalo de nuevo más tarde.
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