Author(s):
1. Saeed Ahmed:
Department of Electronics, Quaid-i-Azam University,Islamabad,Pakistan
2. Muhammad Akbar:
Department of Earth Sciences, Quaid-i-Azam University,Islamabad,Pakistan
3. Muhammad Imran Shahzad:
Department of Applied Physics, Federal Urdu University of Arts, Science and Technology,Islamabad,Pakistan
Abstract:
We have studied the Laplacian equation in non-integer space which had been previously used to describe complex phenomena in physics and electromagnetism. We have applied this idea to a dielectric cylindrical shell to ifnd the electric potential and field of a dielectric coated cylinder analytically in fractional dimensional space. The problem is derived using Gegenbauer polynomials. This close form gneral solution solved in fractional dimensional space can be applied for various materials of cylindrical shell, outside shell and inside the cylindrical core. The obtained solution is retrieved for integer order by setting the fractional parameter a=3.
Page(s):
43-46
DOI:
DOI not available
Published:
Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 59, Issue: 2, Year: 2022
Keywords:
Electric Potential
,
Fractional dimensional Space
,
Dielectric coated cylinder
,
Method of Separation Variables
,
Analytical Solution
,
Laplacianequation
References:
References are not available for this document.
Citations
Citations are not available for this document.