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Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense

Author

Listed:
  • Qura Tul Ain
  • Muhammad Nadeem
  • Devendra Kumar
  • Mohd Asif Shah

Abstract

In this article, the dynamics of the fuzzy fractional order enzyme Michaelis Menten model are investigated. To study problems with uncertainty, fuzzy fractional technique is applied. Using fuzzy theory, the sequential iterations of the model are calculated by applying fractional calculus theory and the homotopy perturbation method. A comparison is given for fractional and fuzzy results, and the numerical findings validate the fuzzy fractional case. Using MATLAB software, the results are simulated for various fractional orders, corresponding to the provided data. The simulations demonstrate the model’s appropriateness.

Suggested Citation

  • Qura Tul Ain & Muhammad Nadeem & Devendra Kumar & Mohd Asif Shah, 2023. "Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense," Advances in Mathematical Physics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlamp:v:2023:y:2023:i:1:n:4009056
    DOI: 10.1155/2023/4009056
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    References listed on IDEAS

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    1. Kangle Wang, 2022. "A Novel Perspective To The Local Fractional Bidirectional Wave Model On Cantor Sets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-7, September.
    2. Kang-Le Wang & Hao Wang, 2022. "Fractal Variational Principles For Two Different Types Of Fractal Plasma Models With Variable Coefficients," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-6, May.
    3. Anwarud Din & Yongjin Li & Abdullahi Yusuf & Aliyu Isa Ali, 2022. "Caputo Type Fractional Operator Applied To Hepatitis B System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-11, February.
    4. Zareen A. Khan & Aziz Khan & Thabet Abdeljawad & Hasib Khan, 2022. "Computational Analysis Of Fractional Order Imperfect Testing Infection Disease Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-17, August.
    5. Kangle Wang, 2022. "Exact Traveling Wave Solutions For The Local Fractional Kadomtsov–Petviashvili–Benjamin–Bona–Mahony Model By Variational Perspective," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-7, September.
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