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A New Fractal-Fractional Hybrid Model For Studying Climate Change On Coastal Ecosystems From The Mathematical Point Of View

Author

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  • HASIB KHAN

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia†Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper 18000, Khyber Pakhtunkhwa, Pakistan)

  • MUHAMMAD ASLAM

    (��Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper 18000, Khyber Pakhtunkhwa, Pakistan)

  • ALTAF HUSSAIN RAJPAR

    (��Department of Mechanical Engineering, College of Engineering, Jouf University, 72388 Sakaka, Saudi Arabia)

  • YU-MING CHU

    (�Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China¶Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China)

  • SINA ETEMAD

    (��Institute of Research and Development, Duy Tan University, Da Nang 550000, Viet Nam**Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran)

  • SHAHRAM REZAPOUR

    (��Institute of Research and Development, Duy Tan University, Da Nang 550000, Viet Nam**Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran††Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan)

  • HIJAZ AHMAD

    (��‡Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia 99138, Turkey§§Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina 42351, Saudi Arabia¶¶Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Kuwait∥∥Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon)

Abstract

Rapid emissions of green-house gases (GHGs) are causing global warming, which is wreaking havoc on the earth’s climate system. As a result, the coastal ecosystems of the world are on the verge of becoming endangered. We develop a fractal-fractional hybrid model to estimate the influence of rapid emissions of GHGs on the coastal ecosystems and climate changes. The fractal-fractional climate change model is considered for the theoretical and numerical aspects. The theoretical aspect includes the existence and Hyers–Ulam (HU) stability of the solutions while the numerical aspect is based on Lagrange’s interpolation polynomial. Moreover, unique solutions are proved by the Banach contraction principle. Different fractal-fractional orders are considered for the numerical study of dynamics of solutions which prove the importance and accuracy of these hybrid operators.

Suggested Citation

  • Hasib Khan & Muhammad Aslam & Altaf Hussain Rajpar & Yu-Ming Chu & Sina Etemad & Shahram Rezapour & Hijaz Ahmad, 2024. "A New Fractal-Fractional Hybrid Model For Studying Climate Change On Coastal Ecosystems From The Mathematical Point Of View," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:02:n:s0218348x24400152
    DOI: 10.1142/S0218348X24400152
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