[PDF][PDF] A new approach for solving multi-pantograph type delay differential equations.

N Anakira, A Jameel, M Hijazi… - International Journal of …, 2022 - researchgate.net
In this paper, a modified procedure based on the residual power series method (RPSM) was
implemented to achieve approximate solution with high degree of accuracy for a system of …

[PDF][PDF] Homotopy Sumudu transformation method for solving fractional delay differential equations

NR Anakira, H Abdelkarim, M Abu-Dawas - Gen. Lett. Math, 2020 - refaad.com
In this article, A new accurate approximate solution for a nonlinear fractional delay
differential equations are obtained using an effective algorithm so called homotopy analysis …

Exploration of New Classes of Bi-univalent Functions Defined by the Subordination Principle Using -Gegenbauer Polynomials

A Alsoboh, A Amourah, MS Alatawi, G Gharib… - The International Arab …, 2023 - Springer
In this study, we introduce a new class of bi-univalent functions constructed using q-
Gegenbauer polynomials. We analyze and characterize this newly defined class of …

q-Neighborhoods and Partial Sums for Certain Subclasses of Analytic Functions with Negative Coefficients

A Amourah, A Alsoboh, WG Atshan… - The international arab …, 2023 - Springer
In the present work, we introduce a new subclasses of analytic functions with negative
coefficients, using a differential operator involving q-Ruscheweyh Operator. We obtain the …

Improved Solutions of OHAM Approximate Procedure for Classes of Nonlinear ODEs

M Jasim, N Anakira, L Kamel, A Amourah… - Contemporary …, 2024 - ojs.wiserpub.com
The primary purpose of this study is to apply the Optimal Homotopy Asymptotic Method
(OHAM) to various nonlinear initial value problems of different orders to evaluate its …

An Algorithm for Solving Linear and Non-Linear Volterra Integro-Differential Equations.

NR Anakira, A Almalki, D Katatbeh… - … of Advances in Soft …, 2023 - search.ebscohost.com
Using Mathematica computer software, a numerical procedure called the modified Adomian
decomposition method (MADM) is successfully implemented for obtaining exact solutions of …

A new accurate procedure for solving nonlinear delay differential equations

NR Anakira - J. Math. Comput. Sci., 2021 - scik.org
In this paper, a modified algorithm based on the residual power series procedure is
employed to find an accurate approximate solution for nonlinear delay differential equations …

by the Subordination Principle Using q-Gegenbauer Polynomials

A Alsoboh, A Amourah, MS Alatawi… - … : IACMC 2023, Zarqa …, 2024 - books.google.com
In this study, we introduce a new class of bi-univalent functions constructed using q-
Gegenbauer polynomials. We analyze and characterize this newly defined class of …

[PDF][PDF] A new accurate approximate solution of singular two-point boundary value problems

NR Anakira, O Ababneh, AS Heilat… - General Letters in …, 2022 - researchgate.net
In this paper, A new accurate solutions are obtained for classes of singular two-point
boundary value problems (BVPs) using a new solution procedure based on the construction …

Integro-Differential Equations

N Anakira, G Bani-Hani, O Ababneh… - … Analysis and Numerical …, 2024 - books.google.com
This research article effectively demonstrates the implementation of the modified Adomian
decomposition method (MADM). Using a numerical procedure called MADM, some classes …