A Note on Multidimensional Sumudu‐Generalized Laplace Decomposition Method and Singular Pseudo‐Hyperbolic Equations

The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n + 1‐dimensional fractional pseudo‐hyperbolic equations via the use of the multi‐Sumudu and generalized Laplace transforms combined with the decomposition method. This technique combines the multi‐Sumudu transform, generalized Laplace transforms, and the Adomian decomposition method. We also give many examples that show how well the suggested method works for solving (2 + 1)‐dimensional singular fractional pseudo‐hyperbolic equations in linear, nonlinear, and coupled systems.