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Atangana, Abdon

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Author ID: atangana.abdon Recent zbMATH articles by "Atangana, Abdon"
Published as: Atangana, Abdon; Atangana, A.; Abdon, Atangana
External Links: Wikidata · ORCID · ResearchGate · dblp
Documents Indexed: 140 Publications since 2013, including 6 Books
all top 5

Co-Authors

13 single-authored
14 Owolabi, Kolade Matthew
12 Gómez-Aguilar, José Francisco
11 Koca, Ilknur
10 Alkahtani, Badr Saad T.
8 Oukouomi Noutchie, Suares Clovis
7 Kiliçman, Adem
6 Băleanu, Dumitru I.
6 Doungmo Goufo, Emile Franc
6 İğret Araz, Seda
5 Bildik, Necdet
4 Djida, Jean Daniel
3 Alqahtani, Rubayyi Turki
3 Heydari, Mohammad Hossien
3 Jain, Sonal
3 Saad, Khaled Mohammed
3 Secer, Aydin
2 Abro, Kashif Ali
2 Allwright, Amy
2 Avazzadeh, Zakieh
2 Bonyah, Ebenezer
2 Hammouch, Zakia
2 Hristov, Jordan Yankov
2 Khan, Muhammad Altaf
2 Solís-Pérez, Jesús Emmanuel
1 Agarwal, Ritu
1 Ahmed, Aden Omar
1 Ahmed, O. Aden
1 Ak, Turgut
1 Akdemir, Ahmet Ocak
1 Al Qurashi, Maysaa’ Mohamed
1 Alabaraoye, Ernestine
1 Ali, Muhammad Nasir
1 Al-saedi, Ahmed Eid Salem
1 Amanda, Ramotsho
1 Area, Iván
1 Asif, Naseer Ahmad
1 Asjad, Muhammad Imran
1 Ávalos-Ruiz, L. F.
1 Bahaa, Gaber Mohamed
1 Batogna, Rodrigue Gnitchogna
1 Belhaouari, Samir Brahim
1 Botha, Joseph F.
1 Bulut, Hasan
1 Cen, Jinxia
1 Cloot, Alain H. J. J.
1 Demiray, Seyma Tuluce
1 Dubey, Ravi Shanker
1 Dutta, Hemen
1 Elsadany, Abdelalim A.
1 Escobar-Jiménez, Ricardo Fabricio
1 Feulefack, Pierre Aime
1 Gnitchogna, Rodrigue
1 Hajikhah, Somayeh
1 Hashemi, Mir Sajjad
1 Hosseininia, M.
1 Husnine, Syed Muhammad
1 Jafari, Hossein
1 Kameni, S. N.
1 Khumalo, Melusi
1 Kumar, Devendra
1 Kumar, Dinesh
1 Kumar, Sachin
1 Mekkaoui, Toufik
1 Mephou, Gisele
1 Mishra, Jyoti
1 Nguyen, van Thien
1 Owolabi Kolade, Matthew
1 Purohit, Sunil Dutt
1 Qureshi, Sania
1 Riaz, Muhammad Bilal
1 Rusagara, Innocent
1 Shafiq, Anum
1 Singh, Jagdev
1 Sulaiman, Tukur Abdulkadir
1 van Tonder, Gerrit
1 Vermeulen, P. D.
1 Yang, Xiao-Jun
1 Yépez-Martínez, Huitzilin
1 Yusuf, Abdullahi A.
1 Zeng, Shengda
1 Zou, Guang’an

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 1,186 times in 688 Documents Cited by Year
Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. Zbl 1360.34150
Atangana, Abdon; Koca, Ilknur
156
2016
On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation. Zbl 1410.35272
Atangana, Abdon
65
2016
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
Atangana, Abdon; Alkahtani, Badr Saad T.
54
2015
New properties of conformable derivative. Zbl 1354.26008
Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed
47
2015
A note on fractional order derivatives and table of fractional derivatives of some special functions. Zbl 1276.26010
Atangana, Abdon; Secer, Aydin
45
2013
On the stability and convergence of the time-fractional variable order telegraph equation. Zbl 1349.65263
Atangana, Abdon
45
2015
A fractional epidemiological model for computer viruses pertaining to a new fractional derivative. Zbl 1426.68015
Singh, Jagdev; Kumar, Devendra; Hammouch, Zakia; Atangana, Abdon
33
2018
The time-fractional coupled-Korteweg-de-Vries equations. Zbl 1291.35273
Atangana, Abdon; Secer, Aydin
33
2013
Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations. Zbl 1380.92026
Atangana, Abdon; Alabaraoye, Ernestine
32
2013
Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws. Zbl 1374.34296
Atangana, Abdon; Gómez-Aguilar, J. F.
28
2017
Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010
Atangana, Abdon; Gómez-Aguilar, J. F.
27
2018
Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative. Zbl 1380.65120
Owolabi, Kolade M.; Atangana, Abdon
27
2017
Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense. Zbl 1422.65178
Owolabi, Kolade M.; Atangana, Abdon
26
2017
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
26
2017
Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113
Atangana, Abdon; Gómez-aguilar, J. F.
25
2018
Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation. Zbl 1422.65144
Atangana, Abdon; Alqahtani, Rubayyi T.
24
2016
Controlling the wave movement on the surface of shallow water with the Caputo-Fabrizio derivative with fractional order. Zbl 1360.35164
Alkahtani, B. S. T.; Atangana, A.
23
2016
On the new fractional derivative and application to nonlinear Baggs and Freedman model. Zbl 1335.34079
Atangana, Abdon; Koca, Ilknur
23
2016
A generalized groundwater flow equation using the concept of variable-order derivative. Zbl 1291.35206
Atangana, Abdon; Botha, Joseph
21
2013
Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform. Zbl 1275.65066
Atangana, Abdon; Baleanu, Dumitru
20
2013
Analysis of non-homogeneous heat model with new trend of derivative with fractional order. Zbl 1360.35080
Alkahtani, Badr Saad T.; Atangana, Abdon
20
2016
New numerical approach for fractional differential equations. Zbl 1406.65045
Atangana, Abdon; Owolabi, Kolade M.
20
2018
Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Zbl 1374.28002
Atangana, Abdon
19
2017
New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. (New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger’s equations.) Zbl 1432.35229
Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon
18
2018
On generalized fractional kinetic equations involving generalized Bessel function of the first kind. Zbl 1394.34018
Kumar, Dinesh; Purohit, S. D.; Secer, A.; Atangana, A.
18
2015
Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations. Zbl 1395.65026
Owolabi, Kolade M.; Atangana, Abdon
18
2018
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
17
2018
Derivative with a new parameter. Theory, methods and applications. Zbl 1342.26020
Atangana, Abdon
17
2016
Stability and convergence of the space fractional variable-order Schrödinger equation. Zbl 1380.35157
Atangana, Abdon; Cloot, Alain H.
17
2013
Blind in a commutative world: simple illustrations with functions and chaotic attractors. Zbl 1415.34009
Atangana, Abdon
13
2018
On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016
Owolabi, Kolade M.; Atangana, Abdon
13
2019
Analytical solutions of the space-time fractional derivative of advection dispersion equation. Zbl 1299.35058
Atangana, Abdon; Kilicman, Adem
12
2013
Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148
Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A.
11
2018
Fractional operators with constant and variable order with application to geo-hydrology. Zbl 1386.86001
Atangana, Abdon
11
2018
Chaotic behaviour in system of noninteger-order ordinary differential equations. Zbl 1416.65180
Owolabi, Kolade M.; Atangana, Abdon
9
2018
The use of fractional order derivative to predict the groundwater flow. Zbl 1296.76144
Atangana, Abdon; Bildik, Necdet
9
2013
Stability and convergence of a time-fractional variable order Hantush equation for a deformable aquifer. Zbl 1301.76072
Atangana, Abdon; Oukouomi Noutchie, S. C.
8
2013
Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators. Zbl 1412.34059
Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur
7
2017
The use of Sumudu transform for solving certain nonlinear fractional heat-like equations. Zbl 1275.65067
Atangana, Abdon; Kılıçman, Adem
7
2013
A possible generalization of acoustic wave equation using the concept of perturbed derivative order. Zbl 1299.76229
Atangana, Abdon; Kılıçman, Adem
7
2013
Model of thin viscous fluid sheet flow within the scope of fractional calculus: fractional derivative with and no singular kernel. Zbl 1375.76020
Atangana, Abdon; Koca, Ilknur
7
2017
New two step Laplace Adam-Bashforth method for integer a noninteger order partial differential equations. Zbl 1407.65242
Gnitchogna, Rodrigue; Atangana, Abdon
7
2018
A novel approach of variable order derivative theory and methods. Zbl 1350.26009
Alkahtani, Badr Saad T.; Koca, Ilknur; Atangana, Abdon
7
2016
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. Zbl 1364.74039
Atangana, Abdon; Ahmed, O. Aden; Bıldık, Necdet
6
2013
Existence and numerical solution of the Volterra fractional integral equations of the second kind. Zbl 1299.45001
Atangana, Abdon; Bildik, Necdet
6
2013
Solving partial differential equation with space- and time-fractional derivatives via homotopy decomposition method. Zbl 1296.35010
Atangana, Abdon; Belhaouari, Samir Brahim
6
2013
Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions. Zbl 1422.35168
Owolabi, Kolade M.; Atangana, Abdon
6
2017
On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives. Zbl 1407.35058
Atangana, Abdon; Oukouomi Noutchie, Suares Clovis
5
2014
Fractional stochastic modeling: new approach to capture more heterogeneity. Zbl 1406.37044
Atangana, A.; Bonyah, E.
5
2019
Retracted: A fractional model for predator-prey with omnivore. Zbl 1406.92652
Bonyah, E.; Atangana, A.; Elsadany, A. A.
5
2019
Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method. Zbl 1291.35026
Atangana, Abdon; Kılıçman, Adem
4
2013
A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities. Zbl 1296.44001
Atangana, Abdon; Kilicman, Adem
4
2013
Extension of matched asymptotic method to fractional boundary layers problems. Zbl 1407.34005
Atangana, Abdon; Doungmo Goufo, Emile Franc
4
2014
A new model of groundwater flow within an unconfined aquifer: application of Caputo-Fabrizio fractional derivative. Zbl 1416.76175
Feulefack, Pierre Aime; Djida, Jean Daniel; Abdon, Atangana
3
2019
On the stability of iteration methods for special solution of time-fractional generalized nonlinear ZK-BBM equation. Zbl 1365.35198
Atangana, Abdon
3
2016
Error estimates of a semidiscrete finite element method for fractional stochastic diffusion-wave equations. Zbl 1407.74098
Zou, Guang-an; Atangana, Abdon; Zhou, Yong
3
2018
Huge analysis of Hepatitis C model within the scope of fractional calculus. Zbl 1381.34065
Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur
3
2016
Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method. Zbl 1394.35075
Dubey, Ravi Shanker; Alkahtani, Badr Saad T.; Atangana, Abdon
2
2015
High-order solvers for space-fractional differential equations with Riesz derivative. Zbl 1422.65179
Owolabi, Kolade M.; Atangana, Abdon
2
2019
Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel. Zbl 1418.35312
Riaz, Muhammad Bilal; Asif, Naseer Ahmad; Atangana, Abdon; Asjad, Muhammad Imran
2
2019
Analysis of a nonlinear model of interpersonal relationships with time fractional derivative. Zbl 1362.34015
Koca, Ilknur; Atangana, Abdon
2
2016
Exact solution of the time-fractional groundwater flow equation within a leaky aquifer equation. Zbl 1365.35197
Atangana, Abdon
2
2016
A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative. Zbl 1330.76128
Atangana, Abdon; Goufo, Emile Franc Doungmo
2
2015
A novel double integral transform and its applications. Zbl 1327.31009
Atangana, Abdon; Alkahtani, Badr Saad T.
2
2016
On the solution of an acoustic wave equation with variable-order derivative loss operator. Zbl 1444.65047
Atangana, Abdon
2
2013
First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463
Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon
2
2018
On the generalized mass transport equation to the concept of variable fractional derivative. Zbl 1407.65092
Atangana, Abdon; Kilicman, Adem
2
2014
Solitary wave solution and conservation laws of higher dimensional Zakharov-Kuznetsov equation with nonlinear self-adjointness. Zbl 1402.74056
Ali, Muhammad Nasir; Husnine, Syed Muhammad; Ak, Turgut; Atangana, Abdon
2
2018
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101
Kumar, Sachin; Atangana, Abdon
2
2020
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. Zbl 1434.35274
Heydari, M. H.; Atangana, A.
2
2020
New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws. Zbl 1415.65181
Alkahtani, Badr Saad T.; Koca, Ilknur; Atangana, Abdon
1
2017
Modelling the movement of groundwater pollution with variable order derivative. Zbl 1412.34031
Kameni, S. N.; Djida, J. D.; Atangana, A.
1
2017
RETRACTED: Power and exponentials laws: theory and application. Zbl 1423.26011
Gómez-Aguilar, J. F.; Atangana, Abdon
1
2019
New numerical method and application to Keller-Segel model with fractional order derivative. Zbl 1442.35499
Atangana, Abdon; Alqahtani, Rubayyi T.
1
2018
Derivation of a groundwater flow model within leaky and self-similar aquifers: beyond Hantush model. Zbl 1442.76108
Amanda, Ramotsho; Atangana, Abdon
1
2018
Numerical methods for fractional differentiation. Zbl 1429.65005
Owolabi, Kolade Matthew; Atangana, Abdon
1
2019
Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations. Zbl 1443.65267
Atangana, Abdon
1
2015
Mathematical analysis of memristor through fractal-fractional differential operators: a numerical study. Zbl 1455.34048
Abro, Kashif Ali; Atangana, Abdon
1
2020
A fractional mathematical model of breast cancer competition model. Zbl 1448.92105
Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A.
1
2019
Differential and integral operators with constant fractional order and variable fractional dimension. Zbl 1448.34011
Atangana, Abdon; Shafiq, Anum
1
2019
Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Zbl 1448.65268
Atangana, Abdon; Qureshi, Sania
1
2019
Validity of fractal derivative to capturing chaotic attractors. Zbl 1448.34010
Atangana, Abdon; Khan, Muhammad Altaf
1
2019
New lump, lump-kink, breather waves and other interaction solutions to the \((3+1)\)-dimensional soliton equation. Zbl 1451.35052
Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Atangana, Abdon
1
2020
Generalised class of time fractional black Scholes equation and numerical analysis. Zbl 1422.91680
Batogna, Rodrigue Gnitchogna; Atangana, Abdon
1
2019
Conservatory of Kaup-Kupershmidt equation to the concept of fractional derivative with and without singular kernel. Zbl 1393.35198
Atangana, Abdon; Goufo, Emile Franc Doungmo
1
2018
Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives. Zbl 1405.92256
Jain, Sonal; Atangana, Abdon
1
2018
Numerical analysis for the Klein-Gordon equation with mass parameter. Zbl 1444.65046
Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur
1
2017
On the agaciro equation via the scope of Green function. Zbl 1407.35200
Atangana, Abdon; Rusagara, Innocent
1
2014
Drawdown in prolate spheroidal-spherical coordinates obtained via Green’s function and perturbation methods. Zbl 1458.76098
Atangana, Abdon
1
2014
More generalized groundwater model with space-time Caputo Fabrizio fractional differentiation. Zbl 1394.65071
Djida, Jean-Daniel; Atangana, Abdon
1
2017
Retracted: New numerical method for ordinary differential equations: Newton polynomial. Zbl 1453.65152
Atangana, Abdon; İğret Araz, Seda
1
2020
Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041
Atangana, Abdon (ed.); Gomez Aguilar, Jose Francisco (ed.); Owolabi Kolade, Matthew (ed.); Hristov, Jordan Yankov (ed.)
1
2020
Upwind-based numerical approximation of a space-time fractional advection-dispersion equation for groundwater transport within fractured systems. Zbl 1440.76141
Allwright, A.; Atangana, A.
1
2019
Fractional order analysis. Theory, methods and applications. Zbl 1445.26001
Dutta, Hemen (ed.); Akdemir, Ahmet Ocak (ed.); Atangana, Abdon (ed.)
1
2020
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
1
2021
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A.
1
2021
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101
Kumar, Sachin; Atangana, Abdon
2
2020
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. Zbl 1434.35274
Heydari, M. H.; Atangana, A.
2
2020
Mathematical analysis of memristor through fractal-fractional differential operators: a numerical study. Zbl 1455.34048
Abro, Kashif Ali; Atangana, Abdon
1
2020
New lump, lump-kink, breather waves and other interaction solutions to the \((3+1)\)-dimensional soliton equation. Zbl 1451.35052
Sulaiman, Tukur Abdulkadir; Yusuf, Abdullahi; Atangana, Abdon
1
2020
Retracted: New numerical method for ordinary differential equations: Newton polynomial. Zbl 1453.65152
Atangana, Abdon; İğret Araz, Seda
1
2020
Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041
Atangana, Abdon; Gomez Aguilar, Jose Francisco; Owolabi Kolade, Matthew; Hristov, Jordan Yankov
1
2020
Fractional order analysis. Theory, methods and applications. Zbl 1445.26001
Dutta, Hemen; Akdemir, Ahmet Ocak; Atangana, Abdon
1
2020
On the formulation of Adams-bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. Zbl 1409.34016
Owolabi, Kolade M.; Atangana, Abdon
13
2019
Fractional stochastic modeling: new approach to capture more heterogeneity. Zbl 1406.37044
Atangana, A.; Bonyah, E.
5
2019
Retracted: A fractional model for predator-prey with omnivore. Zbl 1406.92652
Bonyah, E.; Atangana, A.; Elsadany, A. A.
5
2019
A new model of groundwater flow within an unconfined aquifer: application of Caputo-Fabrizio fractional derivative. Zbl 1416.76175
Feulefack, Pierre Aime; Djida, Jean Daniel; Abdon, Atangana
3
2019
High-order solvers for space-fractional differential equations with Riesz derivative. Zbl 1422.65179
Owolabi, Kolade M.; Atangana, Abdon
2
2019
Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel. Zbl 1418.35312
Riaz, Muhammad Bilal; Asif, Naseer Ahmad; Atangana, Abdon; Asjad, Muhammad Imran
2
2019
RETRACTED: Power and exponentials laws: theory and application. Zbl 1423.26011
Gómez-Aguilar, J. F.; Atangana, Abdon
1
2019
Numerical methods for fractional differentiation. Zbl 1429.65005
Owolabi, Kolade Matthew; Atangana, Abdon
1
2019
A fractional mathematical model of breast cancer competition model. Zbl 1448.92105
Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A.
1
2019
Differential and integral operators with constant fractional order and variable fractional dimension. Zbl 1448.34011
Atangana, Abdon; Shafiq, Anum
1
2019
Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Zbl 1448.65268
Atangana, Abdon; Qureshi, Sania
1
2019
Validity of fractal derivative to capturing chaotic attractors. Zbl 1448.34010
Atangana, Abdon; Khan, Muhammad Altaf
1
2019
Generalised class of time fractional black Scholes equation and numerical analysis. Zbl 1422.91680
Batogna, Rodrigue Gnitchogna; Atangana, Abdon
1
2019
Upwind-based numerical approximation of a space-time fractional advection-dispersion equation for groundwater transport within fractured systems. Zbl 1440.76141
Allwright, A.; Atangana, A.
1
2019
A fractional epidemiological model for computer viruses pertaining to a new fractional derivative. Zbl 1426.68015
Singh, Jagdev; Kumar, Devendra; Hammouch, Zakia; Atangana, Abdon
33
2018
Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010
Atangana, Abdon; Gómez-Aguilar, J. F.
27
2018
Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113
Atangana, Abdon; Gómez-aguilar, J. F.
25
2018
New numerical approach for fractional differential equations. Zbl 1406.65045
Atangana, Abdon; Owolabi, Kolade M.
20
2018
New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations. (New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burger’s equations.) Zbl 1432.35229
Saad, Khaled M.; Baleanu, Dumitru; Atangana, Abdon
18
2018
Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations. Zbl 1395.65026
Owolabi, Kolade M.; Atangana, Abdon
18
2018
New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565
Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru
17
2018
Blind in a commutative world: simple illustrations with functions and chaotic attractors. Zbl 1415.34009
Atangana, Abdon
13
2018
Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148
Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A.
11
2018
Fractional operators with constant and variable order with application to geo-hydrology. Zbl 1386.86001
Atangana, Abdon
11
2018
Chaotic behaviour in system of noninteger-order ordinary differential equations. Zbl 1416.65180
Owolabi, Kolade M.; Atangana, Abdon
9
2018
New two step Laplace Adam-Bashforth method for integer a noninteger order partial differential equations. Zbl 1407.65242
Gnitchogna, Rodrigue; Atangana, Abdon
7
2018
Error estimates of a semidiscrete finite element method for fractional stochastic diffusion-wave equations. Zbl 1407.74098
Zou, Guang-an; Atangana, Abdon; Zhou, Yong
3
2018
First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463
Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon
2
2018
Solitary wave solution and conservation laws of higher dimensional Zakharov-Kuznetsov equation with nonlinear self-adjointness. Zbl 1402.74056
Ali, Muhammad Nasir; Husnine, Syed Muhammad; Ak, Turgut; Atangana, Abdon
2
2018
New numerical method and application to Keller-Segel model with fractional order derivative. Zbl 1442.35499
Atangana, Abdon; Alqahtani, Rubayyi T.
1
2018
Derivation of a groundwater flow model within leaky and self-similar aquifers: beyond Hantush model. Zbl 1442.76108
Amanda, Ramotsho; Atangana, Abdon
1
2018
Conservatory of Kaup-Kupershmidt equation to the concept of fractional derivative with and without singular kernel. Zbl 1393.35198
Atangana, Abdon; Goufo, Emile Franc Doungmo
1
2018
Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives. Zbl 1405.92256
Jain, Sonal; Atangana, Abdon
1
2018
Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws. Zbl 1374.34296
Atangana, Abdon; Gómez-Aguilar, J. F.
28
2017
Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative. Zbl 1380.65120
Owolabi, Kolade M.; Atangana, Abdon
27
2017
Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense. Zbl 1422.65178
Owolabi, Kolade M.; Atangana, Abdon
26
2017
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
26
2017
Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Zbl 1374.28002
Atangana, Abdon
19
2017
Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators. Zbl 1412.34059
Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur
7
2017
Model of thin viscous fluid sheet flow within the scope of fractional calculus: fractional derivative with and no singular kernel. Zbl 1375.76020
Atangana, Abdon; Koca, Ilknur
7
2017
Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions. Zbl 1422.35168
Owolabi, Kolade M.; Atangana, Abdon
6
2017
New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws. Zbl 1415.65181
Alkahtani, Badr Saad T.; Koca, Ilknur; Atangana, Abdon
1
2017
Modelling the movement of groundwater pollution with variable order derivative. Zbl 1412.34031
Kameni, S. N.; Djida, J. D.; Atangana, A.
1
2017
Numerical analysis for the Klein-Gordon equation with mass parameter. Zbl 1444.65046
Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur
1
2017
More generalized groundwater model with space-time Caputo Fabrizio fractional differentiation. Zbl 1394.65071
Djida, Jean-Daniel; Atangana, Abdon
1
2017
Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order. Zbl 1360.34150
Atangana, Abdon; Koca, Ilknur
156
2016
On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation. Zbl 1410.35272
Atangana, Abdon
65
2016
Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation. Zbl 1422.65144
Atangana, Abdon; Alqahtani, Rubayyi T.
24
2016
Controlling the wave movement on the surface of shallow water with the Caputo-Fabrizio derivative with fractional order. Zbl 1360.35164
Alkahtani, B. S. T.; Atangana, A.
23
2016
On the new fractional derivative and application to nonlinear Baggs and Freedman model. Zbl 1335.34079
Atangana, Abdon; Koca, Ilknur
23
2016
Analysis of non-homogeneous heat model with new trend of derivative with fractional order. Zbl 1360.35080
Alkahtani, Badr Saad T.; Atangana, Abdon
20
2016
Derivative with a new parameter. Theory, methods and applications. Zbl 1342.26020
Atangana, Abdon
17
2016
A novel approach of variable order derivative theory and methods. Zbl 1350.26009
Alkahtani, Badr Saad T.; Koca, Ilknur; Atangana, Abdon
7
2016
On the stability of iteration methods for special solution of time-fractional generalized nonlinear ZK-BBM equation. Zbl 1365.35198
Atangana, Abdon
3
2016
Huge analysis of Hepatitis C model within the scope of fractional calculus. Zbl 1381.34065
Alkahtani, Badr Saad T.; Atangana, Abdon; Koca, Ilknur
3
2016
Analysis of a nonlinear model of interpersonal relationships with time fractional derivative. Zbl 1362.34015
Koca, Ilknur; Atangana, Abdon
2
2016
Exact solution of the time-fractional groundwater flow equation within a leaky aquifer equation. Zbl 1365.35197
Atangana, Abdon
2
2016
A novel double integral transform and its applications. Zbl 1327.31009
Atangana, Abdon; Alkahtani, Badr Saad T.
2
2016
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
Atangana, Abdon; Alkahtani, Badr Saad T.
54
2015
New properties of conformable derivative. Zbl 1354.26008
Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed
47
2015
On the stability and convergence of the time-fractional variable order telegraph equation. Zbl 1349.65263
Atangana, Abdon
45
2015
On generalized fractional kinetic equations involving generalized Bessel function of the first kind. Zbl 1394.34018
Kumar, Dinesh; Purohit, S. D.; Secer, A.; Atangana, A.
18
2015
Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method. Zbl 1394.35075
Dubey, Ravi Shanker; Alkahtani, Badr Saad T.; Atangana, Abdon
2
2015
A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative. Zbl 1330.76128
Atangana, Abdon; Goufo, Emile Franc Doungmo
2
2015
Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations. Zbl 1443.65267
Atangana, Abdon
1
2015
On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives. Zbl 1407.35058
Atangana, Abdon; Oukouomi Noutchie, Suares Clovis
5
2014
Extension of matched asymptotic method to fractional boundary layers problems. Zbl 1407.34005
Atangana, Abdon; Doungmo Goufo, Emile Franc
4
2014
On the generalized mass transport equation to the concept of variable fractional derivative. Zbl 1407.65092
Atangana, Abdon; Kilicman, Adem
2
2014
On the agaciro equation via the scope of Green function. Zbl 1407.35200
Atangana, Abdon; Rusagara, Innocent
1
2014
Drawdown in prolate spheroidal-spherical coordinates obtained via Green’s function and perturbation methods. Zbl 1458.76098
Atangana, Abdon
1
2014
A note on fractional order derivatives and table of fractional derivatives of some special functions. Zbl 1276.26010
Atangana, Abdon; Secer, Aydin
45
2013
The time-fractional coupled-Korteweg-de-Vries equations. Zbl 1291.35273
Atangana, Abdon; Secer, Aydin
33
2013
Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations. Zbl 1380.92026
Atangana, Abdon; Alabaraoye, Ernestine
32
2013
A generalized groundwater flow equation using the concept of variable-order derivative. Zbl 1291.35206
Atangana, Abdon; Botha, Joseph
21
2013
Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform. Zbl 1275.65066
Atangana, Abdon; Baleanu, Dumitru
20
2013
Stability and convergence of the space fractional variable-order Schrödinger equation. Zbl 1380.35157
Atangana, Abdon; Cloot, Alain H.
17
2013
Analytical solutions of the space-time fractional derivative of advection dispersion equation. Zbl 1299.35058
Atangana, Abdon; Kilicman, Adem
12
2013
The use of fractional order derivative to predict the groundwater flow. Zbl 1296.76144
Atangana, Abdon; Bildik, Necdet
9
2013
Stability and convergence of a time-fractional variable order Hantush equation for a deformable aquifer. Zbl 1301.76072
Atangana, Abdon; Oukouomi Noutchie, S. C.
8
2013
The use of Sumudu transform for solving certain nonlinear fractional heat-like equations. Zbl 1275.65067
Atangana, Abdon; Kılıçman, Adem
7
2013
A possible generalization of acoustic wave equation using the concept of perturbed derivative order. Zbl 1299.76229
Atangana, Abdon; Kılıçman, Adem
7
2013
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. Zbl 1364.74039
Atangana, Abdon; Ahmed, O. Aden; Bıldık, Necdet
6
2013
Existence and numerical solution of the Volterra fractional integral equations of the second kind. Zbl 1299.45001
Atangana, Abdon; Bildik, Necdet
6
2013
Solving partial differential equation with space- and time-fractional derivatives via homotopy decomposition method. Zbl 1296.35010
Atangana, Abdon; Belhaouari, Samir Brahim
6
2013
Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method. Zbl 1291.35026
Atangana, Abdon; Kılıçman, Adem
4
2013
A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities. Zbl 1296.44001
Atangana, Abdon; Kilicman, Adem
4
2013
On the solution of an acoustic wave equation with variable-order derivative loss operator. Zbl 1444.65047
Atangana, Abdon
2
2013
all top 5

Cited by 934 Authors

79 Atangana, Abdon
54 Băleanu, Dumitru I.
35 Gómez-Aguilar, José Francisco
30 Owolabi, Kolade Matthew
23 Doungmo Goufo, Emile Franc
15 Abdeljawad, Thabet
15 Khan, Ilyas
15 Khan, Muhammad Altaf
13 Escobar-Jiménez, Ricardo Fabricio
12 Alkahtani, Badr Saad T.
11 Kiliçman, Adem
11 Oukouomi Noutchie, Suares Clovis
11 Singh, Jagdev
10 Heydari, Mohammad Hossien
9 Inc, Mustafa
9 Kumar, Devendra
8 Bonyah, Ebenezer
8 Koca, Ilknur
8 Saad, Khaled Mohammed
8 Sene, Ndolane
7 Avazzadeh, Zakieh
7 Yang, Xiao-Jun
7 Yépez-Martínez, Huitzilin
6 Abdelkawy, Mohamed A.
6 Agarwal, Praveen
6 Arqub, Omar Abu
6 Bhrawy, Ali Hassan
6 Bildik, Necdet
6 Ghanbari, Behzad
6 Hammouch, Zakia
6 Li, Hong
6 Liu, Yang
6 Olivares-Peregrino, Victor Hugo
6 Srivastava, Hari Mohan
6 Ullah, Saif
6 Yusuf, Abdullahi A.
5 Al-Smadi, Mohammed H.
5 Bahaa, Gaber Mohamed
5 Bulut, Hasan
5 Deniz, Sinan
5 Eltayeb, Hassan
5 Jafari, Hossein
5 Jajarmi, Amin
5 Li, Xiaoli
5 Mugisha, Stella
5 O’Regan, Donal
5 Sahoo, Subhadarshan
5 Zaky, Mahmoud A.
4 Abro, Kashif Ali
4 Akgül, Ali
4 Al-Refai, Mohammed
4 Dutta, Hemen
4 Hosseininia, M.
4 Jarad, Fahd
4 Khan, Aziz
4 Khan, Hasib
4 Kumam, Poom
4 Liu, Zhengguang
4 Maitama, Shehu
4 Nguyen Huy Tuan
4 Pindza, Edson
4 Qureshi, Sania
4 Ray, Sumita Saha
4 Saha Ray, Santanu
4 Salahshour, Soheil
4 Saqib, Muhammad
4 Shah, Kamal
4 Sheikh, Nadeem Ahmad
4 Taneco-Hernández, Marco Antonio
4 Zhao, Weidong
3 Agarwal, Ravi P.
3 Ahmad, Bashir
3 Ahmadian, Ali
3 Al-Mdallal, Qasem M.
3 Ali, Farhad
3 Aliyu, Aliyu Isa
3 Alqahtani, Rubayyi Turki
3 Area, Iván
3 Asjad, Muhammad Imran
3 Avcı, Derya
3 Bachar, Imed
3 Baş, Erdal
3 Baskonus, Haci Mehmet
3 Belgacem, Fethi bin Muhammad
3 Calderón-Ramón, Celia
3 Cattani, Carlo
3 Chand, Mehar
3 Coronel-Escamilla, Antonio
3 Debbouche, Amar
3 Demiray, Seyma Tuluce
3 Djida, Jean Daniel
3 Dubey, Ravi Shanker
3 Hashemi, Mir Sajjad
3 Hristov, Jordan Yankov
3 Huang, Chengming
3 Jain, Sonal
3 Karaagac, Berat
3 Khaliq, Abdul Q. M.
3 Kumar, Dinesh
3 Kumar, Sunil
...and 834 more Authors
all top 5

Cited in 136 Serials

115 Chaos, Solitons and Fractals
46 Advances in Difference Equations
40 Abstract and Applied Analysis
26 Applied Mathematics and Computation
26 Chaos
22 Journal of Nonlinear Science and Applications
20 Mathematical Modelling of Natural Phenomena
20 Discrete and Continuous Dynamical Systems. Series S
19 Mathematical Problems in Engineering
17 Applied Numerical Mathematics
16 Journal of Computational and Applied Mathematics
12 Computational and Applied Mathematics
12 International Journal of Biomathematics
11 Nonlinear Dynamics
11 Journal of Function Spaces
11 International Journal of Applied and Computational Mathematics
9 Complexity
9 Journal of Applied Analysis and Computation
9 Open Mathematics
7 Discrete Dynamics in Nature and Society
6 Computers & Mathematics with Applications
6 Journal of Computational Physics
6 Applied Mathematics Letters
6 Applied Mathematical Modelling
6 Communications in Nonlinear Science and Numerical Simulation
6 Advances in Mathematical Physics
5 Mathematics and Computers in Simulation
5 Symmetry
4 Journal of the Franklin Institute
4 Numerical Algorithms
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 Mathematical Sciences
4 Journal of Mathematics
3 Journal of Applied Mathematics and Computing
3 European Journal of Pure and Applied Mathematics
3 Arabian Journal of Mathematics
2 International Journal of Modern Physics B
2 Acta Mechanica
2 Journal of Mathematical Physics
2 Mathematical Biosciences
2 Journal of Optimization Theory and Applications
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Engineering Analysis with Boundary Elements
2 Journal of Vibration and Control
2 Fractional Calculus & Applied Analysis
2 Nonlinear Analysis. Modelling and Control
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Journal of Statistical Mechanics: Theory and Experiment
2 Inverse Problems in Science and Engineering
2 Communications in Theoretical Physics
2 International Journal of Differential Equations
2 Journal of Mathematics and Computer Science. JMCS
2 Analysis and Mathematical Physics
2 Palestine Journal of Mathematics
2 International Journal of Analysis and Applications
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Waves, Wavelets and Fractals. Advanced Analysis
2 Transactions of A. Razmadze Mathematical Institute
2 AIMS Mathematics
1 Archives of Mechanics
1 Computer Physics Communications
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physica A
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 The Journal of Mathematical Sociology
1 Kyungpook Mathematical Journal
1 Numerische Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Numerical Analysis
1 Statistics & Probability Letters
1 Acta Mathematicae Applicatae Sinica. English Series
1 Numerical Methods for Partial Differential Equations
1 Journal of Scientific Computing
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Cybernetics and Systems Analysis
1 SIAM Journal on Scientific Computing
1 Applied Mathematics. Series B (English Edition)
1 Electronic Journal of Differential Equations (EJDE)
1 Journal of the Egyptian Mathematical Society
1 Turkish Journal of Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Journal of Mathematical Chemistry
1 European Journal of Control
1 Multibody System Dynamics
1 Vietnam Journal of Mathematics
1 Honam Mathematical Journal
1 Journal of Inequalities and Applications
1 Mathematica Moravica
1 Communications of the Korean Mathematical Society
1 Russian Physics Journal
1 Far East Journal of Mathematical Sciences
1 Methodology and Computing in Applied Probability
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Systems Science and Complexity
...and 36 more Serials
all top 5

Cited in 41 Fields

303 Partial differential equations (35-XX)
260 Ordinary differential equations (34-XX)
257 Numerical analysis (65-XX)
174 Real functions (26-XX)
105 Biology and other natural sciences (92-XX)
55 Fluid mechanics (76-XX)
39 Special functions (33-XX)
32 Dynamical systems and ergodic theory (37-XX)
32 Integral equations (45-XX)
30 Integral transforms, operational calculus (44-XX)
27 Systems theory; control (93-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
24 Operator theory (47-XX)
19 Difference and functional equations (39-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Mechanics of deformable solids (74-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Geophysics (86-XX)
10 Probability theory and stochastic processes (60-XX)
7 Computer science (68-XX)
6 Approximations and expansions (41-XX)
6 Mechanics of particles and systems (70-XX)
6 Operations research, mathematical programming (90-XX)
5 Measure and integration (28-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
4 Optics, electromagnetic theory (78-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Quantum theory (81-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
3 Information and communication theory, circuits (94-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Sequences, series, summability (40-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Algebraic topology (55-XX)

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