On the relationship between the inhomogeneous wave and Helmholtz equations in a fractional setting. (English) Zbl 1474.35645

Dulce, Mateo; Getmanenko, Alexander

Abstr. Appl. Anal. 2019, Article ID 1483764, 9 p. (2019).

Summary: We study convergence of solutions of a space and time inhomogeneous fractional wave equation on the quarter-plane to the stationary regime described by solutions of the Helmholtz equation.

MSC:

35R11	Fractional partial differential equations
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35L20	Initial-boundary value problems for second-order hyperbolic equations

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