Application of Aboodh Homotopy Perturbation Transform Method for Fractional-Order Convection-Reaction-Diffusion Equation within Caputo and Atangana-Baleanu Operators

被引：10

作者：

Yasmin, Humaira ^{[1
]}

机构：

[1] King Faisal Univ, Dept Basic Sci, Preparatory Year Deanship, Al Hasa 31982, Saudi Arabia

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 02期

关键词：

fractional transformation and operator; convection-reaction-diffusion equation; homotopy perturbation method; Caputo and Atangana-Baleanu fractional derivative; MODEL;

D O I：

10.3390/sym15020453

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This article is an analysis of fractional nonlinear convection-reaction-diffusion equations involving the fractional Atangana-Baleanu and Caputo derivatives. An efficient Aboodh homotopy perturbation transform method, which combines the homotopy perturbation method with the Aboodh transformation, is applied to investigate this fractional-order proposed model, analytically. A modified technique known as the Aboodh homotopy perturbation transform method is formulated to approximate these derivatives. The analytical simulation is investigated graphically as well as in tabular form.

引用

页数：18

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