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A malaria model with Caputo–Fabrizio and Atangana–Baleanu derivatives

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International Journal of Modeling, Simulation, and Scientific Computing 12 (02) 2150013 (2021)
DOI: 10.1142/S1793962321500136
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A fractional optimal control problem with final observation governed by wave equation

Seda İğret Araz
Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (2) 023115 (2019)
DOI: 10.1063/1.5086043
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Numerical technique based on the interpolation with Lagrange polynomials to analyze the fractional variable-order mathematical model of the hepatitis C with different types of virus genome

M.M. Khader and Mustafa Inc
Chaos, Solitons & Fractals 152 111333 (2021)
DOI: 10.1016/j.chaos.2021.111333
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Modeling fractional-order dynamics of Syphilis via Mittag-Leffler law

E. Bonyah, C. W. Chukwu, M. L. Juga and Fatmawati
AIMS Mathematics 6 (8) 8367 (2021)
DOI: 10.3934/math.2021485
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Modeling the transmission of dengue infection through fractional derivatives

Rashid Jan, Muhammad Altaf Khan, Poom Kumam and Phatiphat Thounthong
Chaos, Solitons & Fractals 127 189 (2019)
DOI: 10.1016/j.chaos.2019.07.002
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A new approach for nuclear family model with fractional order Caputo derivative

Ilknur Koca and Pelin Yaprakdal
Applied Mathematics and Nonlinear Sciences 5 (1) 393 (2020)
DOI: 10.2478/amns.2020.1.00037
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Investigation of complex behaviour of fractal fractional chaotic attractor with mittag-leffler Kernel

Sayed Saifullah, Amir Ali and Emile Franc Doungmo Goufo
Chaos, Solitons & Fractals 152 111332 (2021)
DOI: 10.1016/j.chaos.2021.111332
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Mustafa Ali Dokuyucu and Hemen Dutta
302 181 (2020)
DOI: 10.1007/978-3-030-49896-2_7
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The dynamics of a new chaotic system through the Caputo–Fabrizio and Atanagan–Baleanu fractional operators

Muhammad Altaf Khan
Advances in Mechanical Engineering 11 (7) 168781401986654 (2019)
DOI: 10.1177/1687814019866540
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Existence and uniqueness results for a smoking model with determination and education in the frame of non-singular derivatives

Sümeyra Uçar
Discrete & Continuous Dynamical Systems - S 14 (7) 2571 (2021)
DOI: 10.3934/dcdss.2020178
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A noninteger order SEITR dynamical model for TB

Jitendra Panchal, Falguni Acharya and Kanan Joshi
Advances in Continuous and Discrete Models 2022 (1) (2022)
DOI: 10.1186/s13662-022-03700-0
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On a new four-dimensional model of memristor-based chaotic circuit in the context of nonsingular Atangana–Baleanu–Caputo operators

Chernet Tuge Deressa, Sina Etemad and Shahram Rezapour
Advances in Difference Equations 2021 (1) (2021)
DOI: 10.1186/s13662-021-03600-9
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Non-fractional and fractional mathematical analysis and simulations for Q fever

Joshua Kiddy K. Asamoah, Eric Okyere, Ernest Yankson, Alex Akwasi Opoku, Agnes Adom-Konadu, Edward Acheampong and Yarhands Dissou Arthur
Chaos, Solitons & Fractals 156 111821 (2022)
DOI: 10.1016/j.chaos.2022.111821
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Modeling the dynamics of coronavirus with super-spreader class: A fractal-fractional approach

Xiao-Ping Li, Saif Ullah, Hina Zahir, Ahmed Alshehri, Muhammad Bilal Riaz and Basem Al Alwan
Results in Physics 34 105179 (2022)
DOI: 10.1016/j.rinp.2022.105179
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Analysis of 3D IS-LM macroeconomic system model within the scope of fractional calculus

E. Bonyah, A. Atangana and Mehar Chand
Chaos, Solitons & Fractals: X 2 100007 (2019)
DOI: 10.1016/j.csfx.2019.100007
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Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order

Abdon Atangana and Seda İğret Araz
Alexandria Engineering Journal 59 (4) 2355 (2020)
DOI: 10.1016/j.aej.2020.02.031
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Solution of a nonlinear fractional COVID-19 model

Marwan Abukhaled, Suheil Khuri and Fatima Rabah
International Journal of Numerical Methods for Heat & Fluid Flow (2022)
DOI: 10.1108/HFF-01-2022-0042
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Fractal Fractional Operator Method on HER2+ Breast Cancer Dynamics

Kolade M. Owolabi and Albert Shikongo
International Journal of Applied and Computational Mathematics 7 (3) (2021)
DOI: 10.1007/s40819-021-01030-5
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Convective flow of a fractional second grade fluid containing different nanoparticles with Prabhakar fractional derivative subject to non‐uniform velocity at the boundary

Abdul Basit, Muhammad Imran Asjad and Ali Akgül
Mathematical Methods in the Applied Sciences (2021)
DOI: 10.1002/mma.7461
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Fractional Model and Numerical Algorithms for Predicting COVID-19 with Isolation and Quarantine Strategies

Abdelouahed Alla Hamou, Elhoussine Azroul and Abdelilah Lamrani Alaoui
International Journal of Applied and Computational Mathematics 7 (4) (2021)
DOI: 10.1007/s40819-021-01086-3
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Fractional Dynamics of HIV with Source Term for the Supply of New CD4+ T-Cells Depending on the Viral Load via Caputo–Fabrizio Derivative

Zahir Shah, Rashid Jan, Poom Kumam, Wejdan Deebani and Meshal Shutaywi
Molecules 26 (6) 1806 (2021)
DOI: 10.3390/molecules26061806
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Synchronization Via Fractal–Fractional Differential Operators on Two-Mass Torsional Vibration System Consisting of Motor and Roller

Kashif Ali Abro and Abdon Atangana
Journal of Computational and Nonlinear Dynamics 16 (12) (2021)
DOI: 10.1115/1.4052189
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The mathematical study of climate change model under nonlocal fractional derivative

Anwarud Din, Faiz Muhammad Khan, Zia Ullah Khan, Abdullahi Yusuf and Taj Munir
Partial Differential Equations in Applied Mathematics 5 100204 (2022)
DOI: 10.1016/j.padiff.2021.100204
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Modelling immune systems based on Atangana–Baleanu fractional derivative

A. Al-khedhairi, A.A. Elsadany and A. Elsonbaty
Chaos, Solitons & Fractals 129 25 (2019)
DOI: 10.1016/j.chaos.2019.07.053
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Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order

Mohammed Al‐Smadi
Mathematical Methods in the Applied Sciences (2021)
DOI: 10.1002/mma.7507
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Mathematical assessment of the dynamics of the tobacco smoking model: An application of fractional theory

Peijiang Liu, Taj Munir, Ting Cui, Anwarud Din and Peng Wu
AIMS Mathematics 7 (4) 7143 (2022)
DOI: 10.3934/math.2022398
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Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives

Sonal Jain and Abdon Atangana
International Journal of Biomathematics 11 (08) 1850100 (2018)
DOI: 10.1142/S1793524518501000
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Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems

Kolade M. Owolabi, Abdon Atangana and Jose Francisco Gómez-Aguilar
Discrete & Continuous Dynamical Systems - S 14 (7) 2455 (2021)
DOI: 10.3934/dcdss.2021060
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Numerical treatments for a multi-time delay complex order mathematical model of HIV/AIDS and malaria

N.H. Sweilam, Z.N. Mohammed and W.S. Abdel kareem
Alexandria Engineering Journal 61 (12) 10263 (2022)
DOI: 10.1016/j.aej.2022.03.058
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Modeling the dynamics of nutrient–phytoplankton–zooplankton system with variable-order fractional derivatives

Behzad Ghanbari and J.F. Gómez-Aguilar
Chaos, Solitons & Fractals 116 114 (2018)
DOI: 10.1016/j.chaos.2018.09.026
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Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation

Fouad Mohammad Salama, Norhashidah Hj. Mohd. Ali and Nur Nadiah Abd Hamid
Advances in Difference Equations 2020 (1) (2020)
DOI: 10.1186/s13662-020-02717-7
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Second-grade fluid model with Caputo–Liouville generalized fractional derivative

Ndolane Sene
Chaos, Solitons & Fractals 133 109631 (2020)
DOI: 10.1016/j.chaos.2020.109631
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Analytical analysis of fractional-order sequential hybrid system with numerical application

Aziz Khan, Zareen A. Khan, Thabet Abdeljawad and Hasib Khan
Advances in Continuous and Discrete Models 2022 (1) (2022)
DOI: 10.1186/s13662-022-03685-w
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A mathematical study of a tuberculosis model with fractional derivatives

Hamadjam Abboubakar, Pushpendra Kumar, Vedat Suat Erturk and Anoop Kumar
International Journal of Modeling, Simulation, and Scientific Computing 12 (04) 2150037 (2021)
DOI: 10.1142/S1793962321500379
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Battery state-of-charge estimation using fractional extended Kalman filter with Mittag-Leffler memory

J.I. Hidalgo-Reyes, J.F. Gómez-Aguilar, V.M. Alvarado-Martínez, M.G. López-López and R.F. Escobar-Jiménez
Alexandria Engineering Journal 59 (4) 1919 (2020)
DOI: 10.1016/j.aej.2019.12.006
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Numerical analysis of polio model: A mathematical approach to epidemiological model using derivative with Mittag–Leffler Kernel

Berat Karaagac and Kolade M. Owolabi
Mathematical Methods in the Applied Sciences (2021)
DOI: 10.1002/mma.7607
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Fractional modeling and optimal control analysis of rabies virus under the convex incidence rate

Rahat Zarin, Iftikhar Ahmed, Poom Kumam, Anwar Zeb and Anwarud Din
Results in Physics 28 104665 (2021)
DOI: 10.1016/j.rinp.2021.104665
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Space-Time Fractional KdV–Burger–Kuramato Equation with Time Dependent Variable Coefficients: Lie Symmetry, Explicit Power Series Solution, Convergence Analysis and Conservation Laws

Vikash Yadav and Rajesh Kumar Gupta
International Journal of Applied and Computational Mathematics 8 (2) (2022)
DOI: 10.1007/s40819-021-01229-6
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New singular soliton solutions to the longitudinal wave equation in a magneto-electro-elastic circular rod with M-derivative

H. M. Baskonus and J. F. Gómez-Aguilar
Modern Physics Letters B 33 (21) 1950251 (2019)
DOI: 10.1142/S0217984919502518
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Numerical investigations onCOVID‐19 model through singular and non‐singular fractional operators

Sunil Kumar, R. P. Chauhan, Shaher Momani and Samir Hadid
Numerical Methods for Partial Differential Equations (2020)
DOI: 10.1002/num.22707
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Numerical approach for approximating the Caputo fractional-order derivative operator

Ramzi B. Albadarneh, Iqbal Batiha, A. K. Alomari and Nedal Tahat
AIMS Mathematics 6 (11) 12743 (2021)
DOI: 10.3934/math.2021735
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Numerical Soliton Solutions of Fractional Modified (2 + 1)-Dimensional Konopelchenko–Dubrovsky Equations in Plasma Physics

S. Saha Ray and B Sagar
Journal of Computational and Nonlinear Dynamics 17 (1) (2022)
DOI: 10.1115/1.4052722
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