Articles with "torvik" as a keyword



A novel numerical approach to solutions of fractional Bagley-Torvik equation fitted with a fractional integral boundary condition

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Published in 2024 at "Demonstratio Mathematica"

DOI: 10.1515/dema-2022-0237

Abstract: Abstract In this work, we present a sophisticated operating algorithm, the reproducing kernel Hilbert space method, to investigate the approximate numerical solutions for a specific class of fractional Begley-Torvik equations (FBTE) equipped with fractional integral… read more here.

Keywords: novel numerical; torvik; integral boundary; boundary condition ... 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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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