In this paper, the Green function of a fractional partial differential equation (−∆)1+α + V (x)Ψ = δ(x−a),α ∈ (0,1) is obtained where the Laplacian ∆, 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.
Grace Yetunde Aladesuyi (Thu,) studied this question.