[PDF][PDF] Analytical Approximations for a System of Fractional Partial Differential Equations

LK Alzaki, HK Jassim - Progr. Fract. Differ. Appl, 2024 - naturalspublishing.com
In this work, we evaluate a system of partial differential equations utilizing the Caputo
fractional operator by employing the fractional natural decomposition analysis (FNDM). The …

[HTML][HTML] Analysis of Cauchy reaction-diffusion equations involving Atangana-Baleanu fractional operator

HK Jassim, AL Arif - Partial Differential Equations in Applied Mathematics, 2024 - Elsevier
This study investigates the Cauchy reaction-diffusion equation (CRDE) with the Atangana-
Baleanu differential operator. The existence and uniqueness of solutions to fractional …

An approximation method to solve Atangana-Baleanu FPDEs

R Shah, HK Jassim, H Ahmad, MY Zayir… - AIP Conference …, 2024 - pubs.aip.org
An approximation method to solve Atangana-Baleanu FPDEs | AIP Conference Proceedings |
AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …

Solving Fractional Telegraph Equation via Yang Decomposition Method

H Tajadodi - Journal of Education for Pure Science-University of …, 2024 - jceps.utq.edu.iq
In this study, we introduced a novel scheme to attain approximate and closed-form solutions
of fractional telegraph equations, which belong to the most consequential amplitude …

Atangana-Baleanu Fractional Variational Iteration Method for Solving Fractional Order Burger's Equations

H Ahmad, JJ Nasar - Journal of Education for Pure Science …, 2024 - jceps.utq.edu.iq
To solve fractional order fractional order Burger's equations, a hybrid technique named
Atangana-Baleanu fractional variational iteration method (ABVIM) has been applied. Two …

Yang Adomian Decomposition Method for Solving PDEs

SA Issa, H Tajadodi - Journal of Education for Pure Science …, 2024 - jceps.utq.edu.iq
Abstract The Yang Adomian decomposition technique (YADM) is an excellent analytical tool
employed in this study to solve the partial differential equations (PDEs). The result of the …

The Approximate Solutions of 2D-Burger's Equations

H Tajadodi - Journal of Education for Pure Science-University of …, 2024 - jceps.utq.edu.iq
This paper investigates the use of the fractional variational iteration method (FVIM) to obtain
approximate analytical solutions to two dimensional Burger's Equations with the Atangana …

The Approximate Solutions of 2D-Fractional Burger's Equations.

JJ Nasar, H Tajadodi - Journal of College of Education for …, 2024 - search.ebscohost.com
This paper investigates the use of the fractional variational iteration method (FVIM) to obtain
approximate analytical solutions to two dimensional Burger's Equations with the Atangana …

An Efficient Computational Technique for Solving Time-Fractional Fornberg-Whitham Equation

M Taimah, HK Jassim - Available at SSRN 5067827 - papers.ssrn.com
In this paper, we developed an approximate solution for the Fornberg–Whitham equation
using the fractional operators Caputo and Atangana–Baleanu, employing the Yang …

[PDF][PDF] An Efficient Model for Solving Fractional Order Partial Differential Equations

LK Alzaki, HK Jassim - naturalspublishing.com
To solve fractional order differential equations, a hybrid technique named “the natural
Adomian decomposition method (NADM) with Caputo fractional operator (CFO)” has been …