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