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Analysis of Green Functions in Elliptic-type Fractional Pdes With Bessel-weighted Potentials

Year: 2026

Type: article

Abstract: 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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.19187301

Author: Aladesuyi, Grace Yetunde

Institution: Adeyemi Federal University of Education, Ondo, Nigeria

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7140074443

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