[HTML][HTML] Exact solutions of nonlinear delay reaction–diffusion equations with variable coefficients

MO Aibinu, SC Thakur, S Moyo - Partial Differential Equations in Applied …, 2021 - Elsevier
A modified method of functional constraints is used to construct the exact solutions of
nonlinear equations of reaction–diffusion type with delay and which are associated with …

[HTML][HTML] Solutions of fractional differential models by using Sumudu transform method and its hybrid

MO Aibinu, FM Mahomed, PE Jorgensen - Partial Differential Equations in …, 2024 - Elsevier
This paper presents the Sumudu transform method and its hybrid for the construction of
solutions of differential equations, both with integer-order and fractional derivatives. The …

Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders

MO Aibinu, E Momoniat - Applied Mathematics in Science and …, 2023 - Taylor & Francis
This study presents an efficient method that is suitable for differential equations, both with
integer-order and fractional derivatives. This study examines the construction of solutions of …

Approximate analytical solution to nonlinear delay differential equations by using Sumudu iterative method

AT Moltot, AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
In this study, an efficient analytical method called the Sumudu Iterative Method (SIM) is
introduced to obtain the solutions for the nonlinear delay differential equation (NDDE). This …

Analyzing population dynamics models via Sumudu transform

MO Aibinu, SC Moyo, S Moyo - arXiv preprint arXiv:2112.07126, 2021 - arxiv.org
This study demonstrates how to construct the solutions of a more general form of population
dynamics models via a blend of variational iterative method with Sumudu transform. In this …

[HTML][HTML] Solutions of fractional differential equations by using a blend of variational iteration method with Sumudu transform and application to price adjustment …

MO Aibinu, S Moyo - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
The presence of delays in a mathematical model can improve its vitality and suitability in
describing several phenomena. However, in the presence of delays, nonlinear fractional …

Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems

B Hussain, A Afroz, A Abdullah - International Journal of …, 2023 - ijnaa.semnan.ac.ir
In this paper, We studied an application of the Haar wavelet basis in solving a particular
class of delay differential equations. We have extended the Haar wavelet series (HWS) …

[PDF][PDF] Approximate analytical solutions to delay fractional differential equations with Caputo derivatives of fractional variable orders and applications

MO Aibinu - International Journal of Nonlinear Analysis and …, 2024 - ijnaa.semnan.ac.ir
Fractional derivatives are suitable for describing several physical phenomena. The
construction of efficient analytical and numerical methods for the solutions of ordinary and …

A Project on Solving Nonlinear Delay Differential Equations By Using Sumudu Iterative Method

G Alem - 2024 - ir.bdu.edu.et
In this project, the generalization of the Sumudu iterative method for the n order nonlinear
delay differential equations is given. The method will play an important role to find …

[PDF][PDF] Approximate Analytical Solutions to Delay Fractional Differential Equations and Application to Economic Models

MO Aibinu, S Moyo - Modern Achievements in Symmetries of Differential …, 2022 - keldysh.ru
In recent years, considerable attention is being paid to Fractional Differential Equations
(FDEs) due to their ability to model complex phenomena. Many numerical methods have …