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Dynamics investigation and numerical simulation of fractional-order predator-prey model with Holling type $ II $ functional response
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The impact of Caputo-Fabrizio fractional derivative and the dynamics of noise on worm propagation in wireless IoT networks
B.S.N. Murthy, M.N. Srinivas, V. Madhusudanan, Anwar Zeb, Elsayed M. Tag-Eldin, Sina Etemad and Shahram Rezapour Alexandria Engineering Journal 91 558 (2024) https://doi.org/10.1016/j.aej.2024.02.027
Modeling and analysis of demand-supply dynamics with a collectability factor using delay differential equations in economic growth via the Caputo operator
Numerical solutions of fractional parabolic equations with generalized Mittag–Leffler kernels
Abedel‐Karrem Alomari, Thabet Abdeljawad, Dumitru Baleanu, Khaled M. Saad and Qasem M. Al‐Mdallal Numerical Methods for Partial Differential Equations 40(1) (2024) https://doi.org/10.1002/num.22699
Modelling the dynamics of online food delivery services on the spread of food-borne diseases
Emmanuel Addai, Delfim F. M. Torres, Zalia Abdul-Hamid, Mary Nwaife Mezue and Joshua Kiddy K. Asamoah Modeling Earth Systems and Environment 10(4) 4993 (2024) https://doi.org/10.1007/s40808-024-02046-8
The analysis of a new fractional model to the Zika virus infection with mutant
Analytical study of a Hepatitis B epidemic model using a discrete generalized nonsingular kernel
Muhammad Farman, Ali Akgül, J. Alberto Conejero, Aamir Shehzad, Kottakkaran Sooppy Nisar and Dumitru Baleanu AIMS Mathematics 9(7) 16966 (2024) https://doi.org/10.3934/math.2024824
Fractional SIZR model of Zombie infection
Hossein Jafari, Pranay Goswami, Ravi Shankar Dubey, Shivani Sharma and Arun Chaudhary International Journal of Mathematics and Computer in Engineering 1(1) 91 (2023) https://doi.org/10.2478/ijmce-2023-0007
Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative
Udoka Benedict ODİONYENMA, Nometa IKENNA and Bolarinwa BOLAJİ Mathematical Modelling and Numerical Simulation with Applications 3(2) 111 (2023) https://doi.org/10.53391/mmnsa.1320175
FRACTIONAL MODEL OF BRINKMAN-TYPE NANOFLUID FLOW WITH FRACTIONAL ORDER FOURIER’S AND FICK’S LAWS
Numerical investigation of the fractional diffusion wave equation with exponential kernel via cubic B-Spline approach
Madiha Shafiq, Muhammad Abbas, Homan Emadifar, Ahmed SM Alzaidi, Tahir Nazir, Farah Aini Abdullah and Muhammad Nadeem PLOS ONE 18(12) e0295525 (2023) https://doi.org/10.1371/journal.pone.0295525
FRACTIONAL MODELING AND NUMERICAL SIMULATION FOR UNFOLDING MARBURG–MONKEYPOX VIRUS CO-INFECTION TRANSMISSION
NAN ZHANG, EMMANUEL ADDAI, LINGLING ZHANG, MERCY NGUNGU, EDMORE MARINDA and JOSHUA KIDDY K. ASAMOAH Fractals 31(07) (2023) https://doi.org/10.1142/S0218348X2350086X
A nonlinear fractional epidemic model for the Marburg virus transmission with public health education
Emmanuel Addai, Adejimi Adeniji, Mercy Ngungu, Godfred Kuffuor Tawiah, Edmore Marinda, Joshua Kiddy K. Asamoah and Muhammad Altaf Khan Scientific Reports 13(1) (2023) https://doi.org/10.1038/s41598-023-46127-7
Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control
Manisha Krishna Naik, Chandrali Baishya, Pundikala Veeresha and Dumitru Baleanu Chaos: An Interdisciplinary Journal of Nonlinear Science 33(2) (2023) https://doi.org/10.1063/5.0130403
Abdelouahed Alla Hamou, Elhoussine Azroul, Zakia Hammouch and Abdelilah Lamrani Alaoui 245 (2023) https://doi.org/10.1016/B978-0-32-390953-2.00022-0
THE IMPACT OF NONSINGULAR MEMORY ON THE MATHEMATICAL MODEL OF HEPATITIS C VIRUS
Solution of Water and Sodium Alginate-Based Casson Type Hybrid Nanofluid with Slip and Sinusoidal Heat Conditions: A Prabhakar Fractional Derivative Approach
Ali Raza, Musawa Y. Almusawa, Qasim Ali, Absar Ul Haq, Kamel Al-Khaled and Ioannis E. Sarris Symmetry 14(12) 2658 (2022) https://doi.org/10.3390/sym14122658
Fractional order epidemiological model of SARS-CoV-2 dynamism involving Alzheimer’s disease
Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function
Dayalal Suthar, Sunil Dutt Purohit, Haile Habenom and Jagdev Singh Discrete & Continuous Dynamical Systems - S 14(10) 3803 (2021) https://doi.org/10.3934/dcdss.2021019
A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model
Haile Habenom, D. L. Suthar, D. Baleanu and S. D. Purohit Journal of Computational and Nonlinear Dynamics 16(1) (2021) https://doi.org/10.1115/1.4048475
Fractional-order simulations for heat and mass transfer analysis confined by elliptic inclined plate with slip effects: A comparative fractional analysis
Bing Guo, Ali Raza, Kamel Al-Khaled, Sami Ullah Khan, Saadia Farid, Ye Wang, M. Ijaz Khan, M.Y. Malik and S. Saleem Case Studies in Thermal Engineering 28 101359 (2021) https://doi.org/10.1016/j.csite.2021.101359
The dynamics of fractional order Hepatitis B virus model with asymptomatic carriers
Nadia Gul, Rubi Bilal, Ebrahem A. Algehyne, Maryam G. Alshehri, Muhammad Altaf Khan, Yu-Ming Chu and Saeed Islam Alexandria Engineering Journal 60(4) 3945 (2021) https://doi.org/10.1016/j.aej.2021.02.057
Solving the Fractional Optimal Control of a Spring-Mass-Viscodamper System with Caputo–Fabrizio Fractional Operator
Sara Ghaderi, Aghileh Heydari and Sohrab Effati Iranian Journal of Science and Technology, Transactions A: Science 45(1) 247 (2021) https://doi.org/10.1007/s40995-020-01045-5
A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana–Baleanu derivative
Wasfi Shatanawi, Mohammed S. Abdo, Mansour A. Abdulwasaa, Kamal Shah, Satish K. Panchal, Sunil V. Kawale and Kirtiwant P. Ghadle Results in Physics 29 104739 (2021) https://doi.org/10.1016/j.rinp.2021.104739
Fractional model of Ebola virus in population of bats in frame of Atangana-Baleanu fractional derivative
A mathematical model for the coinfection of Buruli ulcer and Cholera
Jin-Qiang Zhao, Ebenezer Bonyah, Bing Yan, Muhammad Altaf Khan, K.O. Okosun, Mohammad Y. Alshahrani and Taseer Muhammad Results in Physics 29 104746 (2021) https://doi.org/10.1016/j.rinp.2021.104746
A fractional complex network model for novel corona virus in China
Fractional order simulations for the thermal determination of graphene oxide (GO) and molybdenum disulphide (MoS2) nanoparticles with slip effects
Ali Raza, Sami Ullah Khan, M. Ijaz Khan, Saadia Farid, Taseer Muhammad, M. Imran Khan and Ahmed M. Galal Case Studies in Thermal Engineering 28 101453 (2021) https://doi.org/10.1016/j.csite.2021.101453
Analysis and simulation of herd behaviour dynamics based on derivative with nonlocal and nonsingular kernel
Comprehensive analysis of integer-order, Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition
Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme
Yones Esmaeelzade Aghdam, Hamid Safdari, Yaqub Azari, Hossein Jafari and Dumitru Baleanu Discrete & Continuous Dynamical Systems - S 14(7) 2025 (2021) https://doi.org/10.3934/dcdss.2020402
More new results on integral inequalities for generalized $ \mathcal{K} $-fractional conformable Integral operators
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Analysis for transmission of dengue disease with different class of human population
A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination
Getachew Teshome Tilahun, Woldegebriel Assefa Woldegerima and Nesredin Mohammed Arab Journal of Basic and Applied Sciences 28(1) 87 (2021) https://doi.org/10.1080/25765299.2021.1896423
Dynamic study of SIAISQVR−B fractional-order cholera model with control strategies in Cameroon Far North Region
Analytical approach for the steady MHD conjugate viscous fluid flow in a porous medium with nonsingular fractional derivative
M. Mansha Ghalib, Azhar A. Zafar, M. Bilal Riaz, Z. Hammouch and Khurram Shabbir Physica A: Statistical Mechanics and its Applications 554 123941 (2020) https://doi.org/10.1016/j.physa.2019.123941
A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer
Nadeem Ahmad Sheikh, Dennis Ling Chuan Ching, Ilyas Khan, Devendra Kumar and Kottakkaran Sooppy Nisar Alexandria Engineering Journal 59(5) 2865 (2020) https://doi.org/10.1016/j.aej.2019.12.023
A fractional order model for Hepatitis B virus with treatment via Atangana–Baleanu derivative
Syed Azhar Ali Shah, Muhammad Altaf Khan, Muhammad Farooq, Saif Ullah and Ebraheem O. Alzahrani Physica A: Statistical Mechanics and its Applications 538 122636 (2020) https://doi.org/10.1016/j.physa.2019.122636