Search Results - "Sami Bataineh, Ahmad"
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1
The general Bernstein function: Application to χ‐fractional differential equations
Published in Mathematical methods in the applied sciences (15-05-2024)“…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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2
The Novel Mittag-Leffler–Galerkin Method: Application to a Riccati Differential Equation of Fractional Order
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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3
Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations
Published in International journal of differential equations (11-05-2022)“…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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4
A cotangent fractional Gronwall inequality with applications
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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5
Oscillation Criteria of Fourth-Order Differential Equations with Delay Terms
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
An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs
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
An Efficient Scheme for Time-Dependent Emden-Fowler Type Equations Based on Two-Dimensional Bernstein Polynomials
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
A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations
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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9
Oscillatory Behavior of Higher-Order Differential Equations with Delay Terms
Published in European journal of pure and applied mathematics (30-10-2023)“…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
Revisited Fisher’s equation and logistic system model: a new fractional approach and some modifications
Published in International journal of dynamics and control (01-04-2023)“…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
Multistage Bernstein collocation method for solving strongly nonlinear damped systems
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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