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Analysis of fractional logistic integro-differential equations with time scales in medical sciences and industry

Author

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  • Kottakkaran Sooppy Nisar
  • C. Anusha
  • C. Ravichandran
  • Ahmed Morsy

Abstract

This study investigates the theoretical and practical challenges in solving nonlinear pantograph integro-differential equations of fractional order on arbitrary time scales. It aims to establish the existence and uniqueness of solutions by incorporating two Riemann-Liouville fractional derivatives and applying advanced analytical tools, such as Schauder’s fixed point theory and the Banach contraction principle. Furthermore, the research demonstrates the practicality of the results through a MATLAB-based numerical example, graphical visualizations, and real-world applications of the pantograph equation, with a particular focus on industrial and medical instances to highlight its modeling relevance in these domains.

Suggested Citation

  • Kottakkaran Sooppy Nisar & C. Anusha & C. Ravichandran & Ahmed Morsy, 2025. "Analysis of fractional logistic integro-differential equations with time scales in medical sciences and industry," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 31(01), pages 2591961-259, December.
    • Handle: RePEc:taf:nmcmxx:v:31:y:2025:i:01:p:2591961
    DOI: 10.1080/13873954.2025.2591961
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