A Boundary-Value Problem for the 3-D Fractional Wave Equation with Singularity
Joseph David, Alexander Nolte, Julie Sherman
TL;DR
This paper investigates a boundary-value problem for a 3-D wave equation involving Caputo and Bessel operators, establishing conditions for the existence and uniqueness of solutions.
Contribution
It introduces a novel boundary-value problem for the 3-D fractional wave equation with singular operators and provides conditions ensuring solution uniqueness.
Findings
Established sufficient conditions for solution existence.
Proved uniqueness of solutions under these conditions.
Extended classical wave equation analysis to fractional and singular operators.
Abstract
In this paper, a boundary-value problem for the 3-D wave equation with Caputo and Bessel operators is investigated. Sufficient conditions on the initial data are established for the existence of a unique solution to the considered problem.
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Taxonomy
TopicsFractional Differential Equations Solutions · Differential Equations and Boundary Problems · Differential Equations and Numerical Methods