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