Analytic and numerical solutions of discrete Bagley-Torvik equation

DOI10.1186/s13662-021-03371-3zbMath1494.34044OpenAlexW3164785682MaRDI QIDQ2166949

Fahd Jarad, Gnanaprakasam Britto Antony Xavier, Thabet Abdeljawad, M. Motawi Khashan, M. Meganathan

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03371-3

zbMATH Keywords

Laplace transformdifference operatorfractional calculusCaputo derivativeBagley-Torvik equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference operators (39A70) Fractional ordinary differential equations (34A08)

Cites Work

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• General solution of the Bagley-Torvik equation with fractional-order derivative
• The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
• Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations
• Modeling with fractional difference equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
• Monotonicity results for \(h\)-discrete fractional operators and application
• Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods
• Numerical solution of the Bagley-Torvik equation.
• Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums
• An investigation of fractional Bagley-Torvik equation
• Dual identities in fractional difference calculus within Riemann
• Analytical solution of the linear fractional differential equation by Adomian decomposition method
• Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
• On the numerical solution of Bagley-Torvik equation via the Laplace transform
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures

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