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Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution

Author

Listed:
  • Jagdev Singh

    (Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India
    Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates)

  • Ahmed M. Alshehri

    (Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Shaher Momani

    (Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates
    Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan)

  • Samir Hadid

    (Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman P.O. Box 346, United Arab Emirates)

  • Devendra Kumar

    (Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India)

Abstract

The fractional model of diffusion equations is very important in the study of oil pollution in the water. The key objective of this article is to analyze a fractional modification of diffusion equations occurring in oil pollution associated with the Katugampola derivative in the Caputo sense. An effective and reliable computational method q -homotopy analysis generalized transform method is suggested to obtain the solutions of fractional order diffusion equations. The results of this research are demonstrated in graphical and tabular descriptions. This study shows that the applied computational technique is very effective, accurate, and beneficial for managing such kind of fractional order nonlinear models occurring in oil pollution.

Suggested Citation

  • Jagdev Singh & Ahmed M. Alshehri & Shaher Momani & Samir Hadid & Devendra Kumar, 2022. "Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution," Mathematics, MDPI, vol. 10(20), pages 1-19, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3827-:d:944248
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    References listed on IDEAS

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    1. Singh, Jagdev, 2020. "Analysis of fractional blood alcohol model with composite fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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    Cited by:

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