Search Results - "Sami Bataineh, Ahmad"

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  1. 1

    The general Bernstein function: Application to χ‐fractional differential equations by Sadek, Lakhlifa, Sami Bataineh, Ahmad

    “…In this paper, we present the general Bernstein functions for the first time. The properties of generalized Bernstein basis functions are given and…”
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    Journal Article
  2. 2

    The Novel Mittag-Leffler–Galerkin Method: Application to a Riccati Differential Equation of Fractional Order by Sadek, Lakhlifa, Bataineh, Ahmad Sami, Talibi Alaoui, Hamad, Hashim, Ishak

    Published in Fractal and fractional (01-04-2023)
    “…We present a new numerical approach to solving the fractional differential Riccati equations numerically. The approach—called the Mittag-Leffler–Galerkin…”
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    Journal Article
  3. 3

    Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Bataineh, Ahmad Sami, Isik, Osman Rasit, Hashim, Ishak

    “…In this paper, the Bernstein collocation method (BCM) is used for the first time to solve the nonlinear magnetohydrodynamics (MHD) Jeffery–Hamel arterial blood…”
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    Journal Article
  4. 4

    A cotangent fractional Gronwall inequality with applications by Sadek, Lakhlifa, Akgül, Ali, Bataineh, Ahmad Sami, Hashim, Ishak

    Published in AIMS mathematics (01-01-2024)
    “…This article presents the cotangent fractional Gronwall inequality, a novel understanding of the Gronwall inequality within the context of the cotangent…”
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    Journal Article
  5. 5

    Oscillation Criteria of Fourth-Order Differential Equations with Delay Terms by Balatta, Shoura Ahmed, Hashim, Ishak, Bataineh, Ahmad Sami, Ismail, Eddie Shahril

    Published in Journal of function spaces (2022)
    “…The aim of this paper is to derive oscillation criteria of the following fourth-order differential equation with delay term rxz′′′xγ′+∑i=1nqixfzηix=0, under…”
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  6. 6

    An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs by Bataineh, Ahmad Sami, Isik, Osman Rasit, Oqielat, Moa’ath, Hashim, Ishak

    Published in Mathematics (Basel) (01-02-2021)
    “…In this paper, we introduce two new methods to solve systems of ordinary differential equations. The first method is constituted of the generalized Bernstein…”
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  7. 7

    An Efficient Scheme for Time-Dependent Emden-Fowler Type Equations Based on Two-Dimensional Bernstein Polynomials by Bataineh, Ahmad Sami, Isik, Osman Rasit, Alomari, Abedel-Karrem, Shatnawi, Mohammad, Hashim, Ishak

    Published in Mathematics (Basel) (01-09-2020)
    “…In this study, we introduce an efficient computational method to obtain an approximate solution of the time-dependent Emden-Fowler type equations. The method…”
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  8. 8

    A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations by Sadek, Lakhlifa, Bataineh, Ahmad Sami, Isik, Osman Rasit, Alaoui, Hamad Talibi, Hashim, Ishak

    Published in Mathematics and computers in simulation (01-10-2023)
    “…In this paper, we apply the Bernstein collocation method to construct the solution set of the Sylvester matrix differential equation (Sy-MDE) which involves…”
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    Journal Article
  9. 9

    Oscillatory Behavior of Higher-Order Differential Equations with Delay Terms by Balatta, Shoura Ahmed, Ismail, Eddie Shahril, Hashim, Ishak, Bataineh, Ahmad Sami, Momani, Shaher

    “…The aim of this research is to study the oscillatory properties of higher -order delay half linear differential equations with non-canonical operators. Two…”
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  10. 10

    Revisited Fisher’s equation and logistic system model: a new fractional approach and some modifications by Eriqat, Tareq, Oqielat, Moa’ath N., Al-Zhour, Zeyad, El-Ajou, Ahmad, Bataineh, Ahmad Sami

    “…In the present paper, a new technique Laplace residual power series (L-RPS) method is used for presenting approximate solutions (ASs) of the nonlinear…”
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  11. 11

    Multistage Bernstein collocation method for solving strongly nonlinear damped systems by Bataineh, Ahmad Sami, Al-Omari, Abd Alkreem, Rasit Isik, Osman, Hashim, Ishak

    Published in Journal of vibration and control (01-01-2019)
    “…In this paper, we propose an approximate solution method, called multistage Bernstein collocation method (MBCM), to solve strongly nonlinear damped systems…”
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    Journal Article