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On the existence of the tracking model for N-dimensional Brownian particle in the fluid

Author

Listed:
  • Mohamed Abd Allah El-Hadidy
  • Alaa Awad Alzulaibani

Abstract

In this work, an existential study of the tracking technique of N-dimensional Brownian particle in the fluid has been discussed. A set of nano-robot sensors start the tracking process from the origin of N-dimensional space. Besides giving the conditions which present the finiteness of the expected value of the first meeting time between one of the nano-robot sensors and the particle, we provide the computational expected value of this time.

Suggested Citation

  • Mohamed Abd Allah El-Hadidy & Alaa Awad Alzulaibani, 2023. "On the existence of the tracking model for N-dimensional Brownian particle in the fluid," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 26(1), pages 59-95.
    • Handle: RePEc:ids:ijmore:v:26:y:2023:i:1:p:59-95
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