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Mathematical analysis of a fractional-order epidemic model of childhood diseases via an efficient computational method
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Time-Fractional Differential Operator Modeling of Contaminant Transport with Adsorption and Decay
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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
Numerical solutions of fractional parabolic equations with generalized Mittag–Leffler kernels
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Introducing a novel mean-reverting Ornstein–Uhlenbeck process based stochastic epidemic model
Modeling and analysis of demand-supply dynamics with a collectability factor using delay differential equations in economic growth via the Caputo operator
Dynamical study of fractional order Leslie-Gower model of predator-prey with fear, Allee effect, and inter-species rivalry
G Ranjith Kumar, K Ramesh, Aziz Khan, K. Lakshminarayan and Thabet Abdeljawad Results in Control and Optimization 14 100403 (2024) https://doi.org/10.1016/j.rico.2024.100403
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
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
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
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
FRACTIONAL MODEL OF BRINKMAN-TYPE NANOFLUID FLOW WITH FRACTIONAL ORDER FOURIER’S AND FICK’S LAWS
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
A review on epidemic models in sight of fractional calculus
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
ON NONLINEAR EVOLUTION MODEL FOR DRINKING BEHAVIOR UNDER CAPUTO-FABRIZIO DERIVATIVE
Fang Jin, Zi-Shan Qian, Yu-Ming Chu and Mati ur Rahman Journal of Applied Analysis & Computation 12(2) 790 (2022) https://doi.org/10.11948/20210357
Remarks on Fractal-Fractional Malkus Waterwheel Model with Computational Analysis
Non-integer order chaotic systems: numerical analysis and their synchronization scheme via M-backstepping technique
J. E. Solís-Pérez, J. Betancourt-Vera, J. F. Gómez-Aguilar, A. A. Alderremy and Shaban Aly The European Physical Journal Special Topics 231(10) 1931 (2022) https://doi.org/10.1140/epjs/s11734-022-00468-y
A comparative study for fractional simulations of Casson nanofluid flow with sinusoidal and slipping boundary conditions via a fractional approach
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
Modeling and numerical investigation of a conformable co‐infection model for describing Hantavirus of the European moles
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
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
Analysis of Fractional-Order Population Model of Diabetes and Effect of Remission Through Lifestyle Intervention
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
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More new results on integral inequalities for generalized $ \mathcal{K} $-fractional conformable Integral operators
Yu-Ming Chu, Saima Rashid, Fahd Jarad, Muhammad Aslam Noor and Humaira Kalsoom Discrete & Continuous Dynamical Systems - S 14(7) 2119 (2021) https://doi.org/10.3934/dcdss.2021063
New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives
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
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
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 for transmission of dengue disease with different class of human population
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
A new financial chaotic model in Atangana-Baleanu stochastic fractional differential equations
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
A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model
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
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 study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative