An algorithm for solving the fractional vibration equation
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Publication:1929332
DOI10.1007/s10598-012-9133-2zbMath1283.74020OpenAlexW2023315189MaRDI QIDQ1929332
Ahmet Yildirim, Syed Tauseef Mohyud-Din
Publication date: 7 January 2013
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10598-012-9133-2
Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Fractional derivatives and integrals (26A33)
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A reliable hybrid numerical method for a time dependent vibration model of arbitrary order ⋮ Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients ⋮ A reliable numerical algorithm for the fractional vibration equation ⋮ Approximate solution of fractional vibration equation using Jacobi polynomials ⋮ Analysis of time‐fractional fuzzy vibration equation of large membranes using double parametric based Residual power series method ⋮ Solving the fractional Rosenau-Hyman equation via variational iteration method and homotopy perturbation method ⋮ A hybrid computational scheme with convergence analysis for the dependent Rosenau-Hyman equation of arbitrary order via Caputo-Fabrizio operator ⋮ A reliable solution of arbitrary order nonlinear Hunter-Saxton equation with time dependent derivative in Liouville-Caputo sense ⋮ An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense
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