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Investigation of Caputo Fractional Modeling for Temporal Variations on Hearing Loss due to Mumps Virus

  • Siham Ayasrah
  • , Asad Freihat
  • , Mohammed Alabedalhadi
  • , Mohammed Al-Smadi
  • , Shrideh Al-Omari
  • , Dumitru Baleanu
  • Zarqa University
  • Al-Balqa Applied University
  • Lusail University
  • Lebanese American University

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this work, we employ Caputo’s concept of the fractional derivative to investigate a valid fractional mathematical model to study temporal variations in hearing loss associated with the mumps virus. We present a comprehensive investigation into the existence and uniqueness of solutions using fixed-point theory. The Laplace residual power series approach is proposed to produce numerical solutions, which are compared with existing results to validate efficiency. The study provides insights into the complex relationship between hearing loss and fractional calculus, contributing to epidemiological modeling.

Original languageEnglish
Pages (from-to)551-563
Number of pages13
JournalApplied Mathematics and Information Sciences
Volume19
Issue number3
DOIs
StatePublished - 2025

Keywords

  • Fractional model
  • Hearing loss
  • Laplace residual power series method
  • Mumps virus

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