Close Form Solution for Dielectric Cylindrical Shell in Fractional Dimensional Space | Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences 2022

Author(s)

Saeed Ahmed Department of Electronics, Quaid-i-Azam University,Islamabad,Pakistan

Muhammad Akbar Department of Earth Sciences, Quaid-i-Azam University,Islamabad,Pakistan

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.

Publication Details

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

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