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   Articles with "bagley torvik" as a keyword



A Novel Approach for the Analytical Solution of the Fractional Bagley–Torvik Equations

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recommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.70336

Abstract: The Bagley–Torvik equations with 1/2 or 3/2 order derivatives describe the motion of real bodies in Newtonian fluids. In this work, we use fractional generalized homotopy analysis method (FGHAM) to determine the solution of inhomogeneous… read more here.

Keywords: novel approach; bagley torvik; torvik equations; solution ... See more keywords

Improved Numerical Approach for Bagley-torvik Equation Using Fractional Integral Formula and Adams-moulton Method

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recommendations! Published in 2024 at "Journal of Computational and Nonlinear Dynamics"

DOI: 10.1115/1.4065012

Abstract: In this paper, we introduce a numerical technique for solving Bagley-Torvik equations which plays an outstanding role in fractional calculus. To handle the derivatives and fractional integral in the Bagley-Torvik equations, the Laplace transform is… read more here.

Keywords: method; adams moulton; fractional integral; bagley torvik ... See more keywords

A Computational Scheme Based on Fractional Basis Functions For Solving Fractional Bagley–Torvik Equation

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recommendations! Published in 2025 at "Journal of Mathematics"

DOI: 10.1155/jom/9911816

Abstract: This study aims to present a spectral collocation approach for treating fractional Bagley–Torvik equations using fractional basis functions. The Bagley–Torvik equation is critically important in a wide range of applied scientific and engineering disciplines. The… read more here.

Keywords: fractional bagley; bagley torvik; torvik equation; bagley ... See more keywords

An Effective Projection Method for Solving a Coupled System of Fractional-Order Bagley-Torvik Equations via Fractional Shifted Legendre Polynomials

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recommendations! Published in 2022 at "Symmetry"

DOI: 10.3390/sym14081514

Abstract: This work proposes a valuable and successful strategy for approximating the solutions to the Bagley–Torvik system, which plays an essential role in fractional calculus. The Caputo sense is used to derive the basic conformable fractional.… read more here.

Keywords: bagley torvik; torvik; projection method; fractional order ... See more keywords