A Robust Iterative Approach for Space-Time Fractional Multidimensional Telegraph Equation

The aim of the study is to analyze space-time fractional multidimensional telegraph equation using a generalized transform method. Fractional derivative are considered in Liouville-Caputo sense. The idea is to combine New iterative method with Aboodh transform to get approximate-analytical solution in form of fast convergent series. Uniqueness and existence of the proposed problem is shown using Banach fixed point theorem. Stability analysis is stated using Ulam–Hyres stability theorem. The convergent of solution obtain by generalized transform is shown by Cauchy convergent theorem. Four test problem are considered to shows the efficiency of the proposed method. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.