| A New Efficient Transform Mechanism with Convergence Analysis of the Space-Fractional Telegraph Equations |
| |
| 引用本文： | Nazek A. Obeidat,Mahmoud Saleh Rawashdeh,Malak Al Erjani. A New Efficient Transform Mechanism with Convergence Analysis of the Space-Fractional Telegraph Equations[J]. Journal of Applied Analysis & Computation, 2024, 14(5) |
| |
| 作者姓名： | Nazek A. Obeidat Mahmoud Saleh Rawashdeh Malak Al Erjani |
| |
| 摘 要： |
|
| 收稿时间： | 2024-01-25 |
| 修稿时间： | 2024-04-15 |
A New Efficient Transform Mechanism with Convergence Analysis of the Space-Fractional Telegraph Equations |
| |
| Affiliation: | University of Vermont,University of Vermont,University of Vermont |
| |
| 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. |
| |
| Keywords: | Fractional Liouville-Caputo Derivative. Adomian Natural Decomposition Method. Space-fractional Telegraph Equation. Diffusion Equations. Banach Fixed Point Theorem. |
|
| 点击此处可从《Journal of Applied Analysis & Computation》浏览原始摘要信息 |
|
点击此处可从《Journal of Applied Analysis & Computation》下载免费的PDF全文 |
