Author(s):
1. M Imran Shahzad:
Department of Applied Physics, Federal Urdu University of Arts, Science and Technology, Islamabad, Pakistan
2. M Akbar:
Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan
3. Saeed Ahmed:
Department of Earth Sciences, Quaid-i-Azam University, Islamabad, Pakistan
Abstract:
We have derived an analytical solution in low frequency using the idea of a fractional Laplacian equation. Fractional dimensional (FD) space has importance in describing the complex physics phenomena. Here, the Laplacian equation in spherical coordinated (r,0,0) is expressed in fractional dimensional space using Gegenbauer polynomials. The analytical solution is obtained by the separation variable method. The general solution is a product of angular and radial solutions and is independent of 0 due to azimuthal symmetry. The classical solution is retained by setting fractional parameter a=3. Further, numerical results are discussed for different values of a and compared with available lterature.
Page(s):
83-87
DOI:
DOI not available
Published:
Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 59, Issue: 1, Year: 2022
Keywords:
Fractional Dimensional Space
,
Separation Variable Method
,
Laplacian Equation
,
Analytical Solution
References:
References are not available for this document.
Citations
Citations are not available for this document.