A Solution of Fractional Laplace's Equation by Modified Separation of Variables
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 0, Vol 4, Issue 1
Abstract
This paper applies the Modified separation of variables method (MSV) suggested by Pishkoo and Darus towards obtaining a solution for fractional Laplace's equation. The closed form expression for potential function is formulated in terms of Meijer's G-functions (MGFs). Moreover, the relationship between fractional dimension and parameters of Meijer’s G-function for spherical Laplacian in R, for radial functions is derived.
Authors and Affiliations
Amir Pishkoo, Maslina Darus, Fatemeh Tamizi
Keywords
Related Articles
- EP ID EP653507
- DOI 10.24297/jap.v4i1.2049
- Views 82
- Downloads 0
Chromium fluoride-containing bioactive glasses: Structure and properties
Bioglasses in the system 24.5Na2O.24.5CaO.6P2O5.xCrF2.(45-x)SiO2 have been studied in the composition region of x= 0-10 mol%. CrF2. Glass of molar ratio (Ca+Na)/SiO2 ~1.1 is the base material for the glasses containing d...
First Principles Calculations on The Electronic and Optical Properties of Zincblende Bxga1-Xas and Bxin1-Xas Semiconductor Alloys.
A theoretical study of the electronic and optical properties of zincblende BxGa1-xAs and BxIn1-xAs semiconductor alloys is presented, using the full potential linearized augmented plane wave method. In th...
PRODUCTION OF Ge1-xLnxS MONOCRYSTALS AND THEIR ELECTROPHYSICAL AND PHOTOELETRIC PROPERTIES
Among semiconductor materials wich can be citilized for recording optical information and holograms of considerable interest are layered materials.Inparticulas, GeSmonocrystals belong to them. A unique device of germaniu...
The Effect of Water Salinity on Permeability of Oil Reservoir
The recovery of oil from clay-sandstone as revealed by past studies can be improved by increasing the concentration of the salinity in the core. This is as a result of the sensitivity of the clay-sandstone to the water s...
Excitonic quasimolecules containing of two quantum dots
The possibility of occurrence of the excitonic quasimolecule formed of spatially separated electrons and holes in a nanosystem that consists of CuO quantum dots synthesized in a silicate glass matrix. It is s...