A Novel Approach to Find the Analytical Solution of (2 + 1) -Dimensional Physical Models

In this paper, a new iterative transform technique with ρ -Laplace transform is applied to gain the approximate solutions of time-fractional (2 + 1)-dimensional physical models. The derivative is considered in the generalized Caputo derivative sense. The proposed scheme is a hybrid methodology of ρ -Laplace transform and the new iterative method. The numerical solutions of various targeted problems are represented by graphs, which describe closed contact between the obtained series solutions and the exact solution of the problems. The impact of ρ and order δ on the approximate solutions of time-fractional (2 + 1)-dimensional physical models was also investigated.