TY - JOUR
AU - U.S. Idiong
PY - 2024/07/30
Y2 - 2024/11/10
TI - Green functions of Fractional Partial Differential Equation With a Modified Elliptic Potential By a Weighted Bessel Function
JF - International Journal of Mathematical Sciences and Optimization: Theory and Applications
JA - IJMSO
VL - 10
IS - 3
SE - Articles
DO -
UR - http://ijmso.unilag.edu.ng/article/view/2202
AB - In this paper, the Green function of a fractional partial differential equation [(−Δ)1+α + V (x)]Ψ = δ(x − a), α ∈ (0, 1) is obtained where the Laplacian Δ, the potential V (x) and the Dirac delta function δ(x) are defined over a closed ball B(0, r) of radius r > 0 in an Euclidean space Rn and V (x) is a modified vector-valued Weierstrass sigma elliptic potential weighted by a Bessel function. A combination of Fourier and Hankel transform techniques are employed in obtaining the main result.
ER -