A new approach for solving nonlinear fractional ordinary differential equations

HK Jassim, M Abdulshareef Hussein - Mathematics, 2023 - mdpi.com
Recently, researchers have been interested in studying fractional differential equations and
their solutions due to the wide range of their applications in many scientific fields. In this …

Analysis of fractional Navier–Stokes equations

H Jafari, MY Zair, HK Jassim - Heat Transfer, 2023 - Wiley Online Library
In this study, we apply the fractional Laplace variational iteration method (FLVIM), a
computer methodology for exploring fractional Navier–Stokes equation solutions. In light of …

[HTML][HTML] A Novel Formulation of the Fractional Derivative with the Order α≥ 0 and without the Singular Kernel

HK Jassim, MA Hussein - Mathematics, 2022 - mdpi.com
A new definition of fractional derivative (NFD) with order α≥ 0, is developed in this paper.
The new derivative has a smooth kernel that takes on two different representations for the …

An Analytical Technique to Obtain Approximate Solutions of Nonlinear Fractional PDEs

H Ahmad, HK Jassim - Journal of Education for Pure Science …, 2024 - jceps.utq.edu.iq
An Analytical Technique to Obtain Approximate Solutions of Nonlinear Fractional PDEs Page 1
Journalof Educationfor Pure Science- University of Thi-Qar Vol.14, No.1 (2024) Website …

Analytical Solutions for the Nonlinear Homogeneous Fractional Biological Equation using a Local Fractional Operator

AR Saeid, LK Alzaki - Journal of Education for Pure Science …, 2023 - jceps.utq.edu.iq
Analytical Solutions for the Nonlinear Homogeneous Fractional Biological Equation using a
Local Fractional Operator Page 1 Journalof Educationfor Pure Science- University of Thi-Qar …

[HTML][HTML] A mathematical theoretical study of Atangana-Baleanu fractional Burgers' equations

D Baleanu, HK Jassim, H Ahmed, J Singh… - … Differential Equations in …, 2024 - Elsevier
In this paper, the Burgers' equations using the fractional derivative of Atangana-Baleanu
sense are investigated and discussed. A Laplace variational iteration approach is used to …

Fractional differential equations with an approximate solution using the natural variation iteration method

AR Saeid, LK Alzaki - Results in Nonlinear Analysis, 2023 - nonlinear-analysis.com
The fractional natural variation iteration analysis is used in this study to analyze partial
differential equations using the Caputo fractional operator (FNVIM). The FNVIM approach …

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 …

Solving Biological Population Model by Using FADM within Atangana-Baleanu fractional derivative

GAA Hussein, D Ziane - Journal of Education for Pure Science …, 2024 - jceps.utq.edu.iq
In this paper, we are concerned with finding approximate solutions to biological population
model by using fractional Adomian decomposition method (FADM). The presented method …