New analytical technique to solve fractional-order Sharma-Tasso-Olver differential equation using Caputo and Atangana-Baleanu derivative operators

被引：9

作者：

Chauhan, Jignesh P. ^{[2
]}

Khirsariya, Sagar R. ^{[1
]}

Hathiwala, Gautam S. ^{[1
]}

Biswas Hathiwala, Minakshi ^{[1
]}

机构：

[1] Marwadi Univ, Dept Math, Rajkot 360003, Gujarat, India

[2] Charotar Univ Sci & Technol CHARUSAT, PD Patel Inst Appl Sci, Dept Math Sci, Changa 388421, Gujarat, India

来源：

JOURNAL OF APPLIED ANALYSIS | 2024年 / 30卷 / 01期

关键词：

Fractional differential equation; Caputo fractional derivative; Atangana-Baleanu fractional derivative in Caputo sense; time-fractional Sharma-Tasso-Olver equation; Adomian decomposition method; formable transform; DECOMPOSITION METHOD;

D O I：

10.1515/jaa-2023-0043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present work introduces a novel approach, the Adomian Decomposition Formable Transform Method (ADFTM), and its application to solve the fractional order Sharma-Tasso-Olver problem. The method's distinctive outcomes are highlighted through a comparative analysis with established non-local Caputo fractional derivatives and the non-singular Atangana-Baleanu (ABC) fractional derivatives. To provide a comprehensive understanding, the proposed ADFTM's approximate solution is compared with the homotopy perturbation method (HPM) and residual power series method (RPSM). Further, numerical and graphical results demonstrate the reliability and accuracy of the ADFTM approach. The novel outcomes presented in this work emphasize its capability to address complex engineering problems effectively. By demonstrating its efficacy in solving the fractional order problems, the new ADFTM proves to be a valuable tool in solving scientific problems.

引用

页码：1 / 16

页数：16