IDEAS home Printed from https://ideas.repec.org/a/wly/complx/v2022y2022i1n8531858.html

ABC Fractional Derivative for the Alcohol Drinking Model using Two‐Scale Fractal Dimension

Author

Listed:
  • Qura Tul Ain
  • T. Sathiyaraj
  • Shazia Karim
  • Muhammad Nadeem
  • Patrick Kandege Mwanakatwe

Abstract

Drinking kills a significant proportion of individuals every year, particularly in low‐income communities. An impulsive differential equation system is used to explore the effectiveness of activated charcoal in detoxifying the body after methanol poisoning. Our impression of activated charcoal is shaped by the fractional dynamics of the problem, which leads to speedy and low‐cost first aid. The adsorption capacity of activated charcoal is investigated using impulsive differential equations. The ABC fractional operator’s findings paint a more realistic image of first aid in public and primary health centers, which can assist to reduce methanol poisoning deaths. Numerical simulations are provided using generalized Adams–Bashforth–Moulton method (GABMM).

Suggested Citation

  • Qura Tul Ain & T. Sathiyaraj & Shazia Karim & Muhammad Nadeem & Patrick Kandege Mwanakatwe, 2022. "ABC Fractional Derivative for the Alcohol Drinking Model using Two‐Scale Fractal Dimension," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:8531858
    DOI: 10.1155/2022/8531858
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/8531858
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8531858?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Zai-Yin He & Abderrahmane Abbes & Hadi Jahanshahi & Naif D. Alotaibi & Ye Wang, 2022. "Fractional-Order Discrete-Time SIR Epidemic Model with Vaccination: Chaos and Complexity," Mathematics, MDPI, vol. 10(2), pages 1-18, January.
    2. Atangana, Abdon & Qureshi, Sania, 2019. "Modeling attractors of chaotic dynamical systems with fractal–fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 320-337.
    3. Nazeer, Mubbashar & Hussain, Farooq & Khan, M. Ijaz & Asad-ur-Rehman, & El-Zahar, Essam Roshdy & Chu, Yu-Ming & Malik, M.Y., 2022. "Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    4. Saima Rashid & Sobia Sultana & Yeliz Karaca & Aasma Khalid & Yu-Ming Chu, 2022. "Some Further Extensions Considering Discrete Proportional Fractional Operators," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-12, February.
    5. Lee, S. & Jung, E. & Castillo-Chavez, C., 2010. "Optimal control intervention strategies in low- and high-risk problem drinking populations," Socio-Economic Planning Sciences, Elsevier, vol. 44(4), pages 258-265, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Farah M. Al-Askar & Wael W. Mohammed, 2022. "The Analytical Solutions of the Stochastic Fractional RKL Equation via Jacobi Elliptic Function Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    2. Adnan Khan & M. Haris Mateen & Ali Akgül & Md. Shajib Ali, 2022. "The K Extended Laguerre Polynomials Involving Aαr,n,kxr Fr, r > 2," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Farman, Muhammad & Sarwar, Rabia & Akgul, Ali, 2023. "Modeling and analysis of sustainable approach for dynamics of infections in plant virus with fractal fractional operator," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Akgül, Ali & Partohaghighi, Mohammad, 2022. "New fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. El-Dessoky Ahmed, M.M. & Altaf Khan, Muhammad, 2020. "Modeling and analysis of the polluted lakes system with various fractional approaches," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    4. Abro, Kashif Ali & Khan, Ilyas & Nisar, Kottakkaran Sooppy, 2019. "Novel technique of Atangana and Baleanu for heat dissipation in transmission line of electrical circuit," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 40-45.
    5. Qureshi, Sania & Yusuf, Abdullahi, 2019. "Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 32-40.
    6. Yanan Liao & Kai Yang & Hua Wang & Qingtai Xiao, 2022. "An Alternative Approach for Identifying Nonlinear Dynamics of the Cascade Logistic-Cubic System," Mathematics, MDPI, vol. 10(12), pages 1-13, June.
    7. Li, Zhongfei & Liu, Zhuang & Khan, Muhammad Altaf, 2020. "Fractional investigation of bank data with fractal-fractional Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    8. Sekerci, Yadigar & Ozarslan, Ramazan, 2020. "Respiration Effect on Plankton–Oxygen Dynamics in view of non-singular time fractional derivatives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    9. Imran, M.A., 2020. "Application of fractal fractional derivative of power law kernel (FFP0Dxα,β) to MHD viscous fluid flow between two plates," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    10. Siddique, Imran & Akgül, Ali, 2020. "Analysis of MHD generalized first problem of Stokes’ in view of local and non-local fractal fractional differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    11. Kumar, Ajay & Kumar, Sunil & Momani, Shaher & Hadid, Samir, 2024. "A chaos study of fractal–fractional predator–prey model of mathematical ecology," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 857-888.
    12. Muhammad Ali Qureshi & Najeeb Alam Khan, 2024. "Clown face in 3D chaotic system integrated with memristor electronics, DNA encryption and fractional calculus," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(5), pages 1-16, May.
    13. Muner M. Abou Hasan & Ahlam M. Alghanmi & Seham M. AL-Mekhlafi & Hannah Al Ali & Zindoga Mukandavire, 2025. "A Novel Crossover Dynamics of Variable‐Order Fractal‐Fractional Stochastic Diabetes Model: Numerical Simulations," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    14. Raja, Muhammad Junaid Ali Asif & Hassan, Shahzaib Ahmed & Chang, Chuan-Yu & Shu, Chi-Min & Kiani, Adiqa Kausar & Shoaib, Muhammad & Raja, Muhammad Asif Zahoor, 2025. "A hybrid neural-computational paradigm for complex firing patterns and excitability transitions in fractional Hindmarsh-Rose neuronal models," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
    15. Abdulilah Mohammad Mayet & Seyed Mehdi Alizadeh & Karina Shamilyevna Nurgalieva & Robert Hanus & Ehsan Nazemi & Igor M. Narozhnyy, 2022. "Extraction of Time-Domain Characteristics and Selection of Effective Features Using Correlation Analysis to Increase the Accuracy of Petroleum Fluid Monitoring Systems," Energies, MDPI, vol. 15(6), pages 1-19, March.
    16. Babu, N. Ramesh & Balasubramaniam, P., 2022. "Master-slave synchronization of a new fractal-fractional order quaternion-valued neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    17. Dai, Houping & Feng, Yingxin & Wei, Xuedan & Chen, Dongdong & Zheng, Zhoushun & Wang, Jianzhong, 2023. "Space fractional-order modeling for the sintering process of metal fibers via Lattice Boltzmann method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 373-387.
    18. Saifullah, Sayed & Ali, Amir & Franc Doungmo Goufo, Emile, 2021. "Investigation of complex behaviour of fractal fractional chaotic attractor with mittag-leffler Kernel," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    19. Ramsha Shafqat & Ateq Alsaadi & Abeer Alubaidi, 2025. "A Fractional‐Order Alcoholism Model Incorporating Hypothetical Social Influence: A Theoretical and Numerical Study," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    20. Yu, Shuhong & Zhou, Yunxiu & Du, Tingsong, 2022. "Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:8531858. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/8503 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.