| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2024-0037 |
| A New Efficient Transform Mechanism with Convergence Analysis of the Space-Fractional Telegraph Equations |
| Nazek A. Obeidat,Mahmoud Saleh Rawashdeh,Malak Al Erjani |
| Keywords:Fractional Liouville-Caputo Derivative. Adomian Natural Decomposition Method. Space-fractional Telegraph Equation. Diffusion Equations. Banach Fixed Point Theorem. |
| Abstract: |
| This article"s goal is to investigate the space-fractional telegraph equation using an effective method called the Adomian natural decomposition method (ANDM), which is a combination of the Adomian decomposition method (ADM) and the natural transform method (NTM). Using the Banach fixed point theorem, we explore proofs for the existence and uniqueness theorems applying it to a nonlinear differential equation. Using our method, exact solutions of the space-fractional telegraph equation and time-fractional diffusion problems have been obtained. To demonstrate the effectiveness of the suggested scheme, four examples are provided. |
PDF Download reader
|
|
|
|