TY - JOUR AU - Muhammad Imran Shahzad, AU - Muhammad Akbar, AU - Saeed Ahmed, AU - Sania Shaheen, AU - Muhammad Ahmad Raza, PY - 2022/12/23 Y2 - 2024/03/29 TI - Mathematical Analysis of Conducting and Dielectric Sphere in Fractional Space: Mathematical Analysis of Conducting and Dielectric Sphere in Fractional Space JF - Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences JA - PPASA VL - 59 IS - 4 SE - Research Articles DO - 10.53560/PPASA(59-4)667 UR - https://ppaspk.org/index.php/PPAS-A/article/view/1022 SP - 61-65 AB - <p>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 &lt; α ≤ 3.</p> ER -