Mathematical Analysis of Conducting and Dielectric Sphere in Fractional Space

Mathematical Analysis of Conducting and Dielectric Sphere in Fractional Space


  • M. Imran Shahzad Federal Urdu University of Arts
  • M. Akbar Quaid-i-Azam University
  • Saeed Ahmed Quaid-i-Azam University
  • Sania Shaheen Federal Urdu University of Arts
  • M. Ahmad Raza Federal Urdu University of Arts



Laplacian Equation, Fractional Space, Dielectric Sphere, Separable Method


This paper presents an analytical analysis of a sphere placed in fractional dimensional space. The Laplacian Equation in fractional space describes physics as a complex phenomenon. The general solution of the Laplacian equation in fractional space is obtained by the separable variable technique. We have investigated a close form solution for conducting sphere and dielectric sphere. Further, the electric potential and charge density, induced due to a point charge is calculated in fractional space, and also the energy radiated by the sphere is determined. The results are compared with the classical results by setting the fractional parameter α = 3 which normally lies in the limit 2 < α ≤ 3.


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How to Cite

M. Imran Shahzad, M. Akbar, Saeed Ahmed, Sania Shaheen, & M. Ahmad Raza. (2022). Mathematical Analysis of Conducting and Dielectric Sphere in Fractional Space: Mathematical Analysis of Conducting and Dielectric Sphere in Fractional Space. Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, 59(4), 61–65.



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