@article{Idiong_2024, title={Green functions of Fractional Partial Differential Equation With a Modified Elliptic Potential By a Weighted Bessel Function}, volume={10}, url={http://ijmso.unilag.edu.ng/article/view/2202}, abstractNote={<p>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.</p>}, number={3}, journal={International Journal of Mathematical Sciences and Optimization: Theory and Applications}, author={Idiong, U.S.}, year={2024}, month={Jul.}, pages={133 - 139} }