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[00335] Fractional Relaxation-Oscillation and Fractional Biological Population Equations: Applications of the Elzaki Decomposition Method

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @F311
  • Type : Contributed Talk
  • Abstract : In various suitable habitat scenarios, the Elzaki decomposition method is used to handle the fractional order relaxation and damped oscillation equation along with the time-fractional spatial diffusion biological population model. According to the graphs for the found solutions, fractional relaxation is a super-slow phenomenon due to its protracted descent, and fractional damped oscillation is an intermediate process that explains damped oscillation dynamic systems generated by some attenuated oscillations. The biological population model of time-fractional spatial diffusion portrays a rapid increase in population density in an ecosystem migrating from an unfavourable zone to a good habitat.
  • Classification : 26A33, 33E12, 35A22, 34C26, 60J70
  • Format : Online Talk on Zoom
  • Author(s) :
    • Daya Lal Suthar (Wollo University)