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.
In this work, we combine the Natural Transform and generalized-Laplace Transform into a new transform called, the Natural Generalized-Laplace Transform, (NGLT) and some of its properties are…
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 double natural generalized Laplace transform decomposition method (DNGLTDM) is proposed as a new approach for solving singular linear and non-linear two-dimensional Boussinesq equations…