Globally existing solutions to the problem of Derichlet for the fractional 3D Poisson equation
Toshko Boev, Georgi Georgiev
TL;DR
This paper reviews existing solutions to the Dirichlet problem for the fractional 3D Poisson equation, addressing both bounded and unbounded domains, and discusses their applicability and limitations.
Contribution
It provides a comprehensive overview of current methods for solving the fractional 3D Poisson Dirichlet problem in various domain types.
Findings
Summarizes key solution techniques for bounded domains.
Analyzes approaches for unbounded domain complements.
Highlights gaps and future directions in the field.
Abstract
A common approach is present concerning the problem of Dirichlet, both for bounded 3D domains and their (unbounded) complements, regarding the fractional (3D) Poisson equation.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems · Nonlinear Partial Differential Equations