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Study On Nonlinear Fractional Order Conformable Model Of Infectious Disease Using Updated Analytical Techniques

Author

Listed:
  • MANAR A. ALQUDAH

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia)

  • KAMAL SHAH

    (��Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia)

  • THABET ABDELJAWAD

    (��Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India‡Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia§Department of Medical Research, China Medical University, Taichung 40402, Taiwan¶Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa∥Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-qu Seoul, Republic of Korea)

  • FATEMAH MOFARREH

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

Over the past 20 years, fractional calculus has received increased attention. The concerned field has many applications in investigating different applied sciences problems by using the concept of mathematical modeling. Epidemic models have increasingly been studied by applying the tools of fractional calculus. This work is related to the use of conformable fractional order derivative (CFOD) to study an epidemic model. The qualitative results of the suggested model are studied by applying fixed point theory. Additionally, we develop a suitable approach by using the conformable fractional differential transform (CFDT) technique to compute the analytical approximation solutions to the proposed model. Furthermore, we use MATLAB-16 to simulate the obtained results graphically. The results have also been compared with the results of another method.

Suggested Citation

  • Manar A. Alqudah & Kamal Shah & Thabet Abdeljawad & Fatemah Mofarreh, 2025. "Study On Nonlinear Fractional Order Conformable Model Of Infectious Disease Using Updated Analytical Techniques," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:04:n:s0218348x25400808
    DOI: 10.1142/S0218348X25400808
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