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Laplace Residual Power Series Method for Solving Three-Dimensional Fractional Helmholtz Equations

Laplace Residual Power Series Method for Solving Three-Dimensional Fractional Helmholtz Equations

In the present study, the exact solutions of the fractional three-dimensional (3D) Helmholtz equation (FHE) are obtained using the Laplace residual power series method (LRPSM). The fractional derivative is calculated using the Caputo operator. First, we introduce a novel method that combines the Laplace transform tool and the residual power …