Application of Müntz-Legendre polynomials for solving the Bagley-Torvik equation in a large interval
From MaRDI portal
Publication:1735724
DOI10.1007/s40324-018-0148-2zbMath1412.34040OpenAlexW2789913125MaRDI QIDQ1735724
Yadollah Ordokhani, Parisa Rahimkhani
Publication date: 28 March 2019
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-018-0148-2
collocation methodMüntz-Legendre polynomialsoperational matrixCaputo fractional derivativeBagley-Torvik equation
Theoretical approximation of solutions to ordinary differential equations (34A45) Linear ordinary differential equations and systems (34A30) Approximation by polynomials (41A10) Fractional ordinary differential equations (34A08)
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Cites Work
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- A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations
- On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
- Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials
- On the convergence of spline collocation methods for solving fractional differential equations
- A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
- Decomposition method for solving fractional Riccati differential equations
- Solution of nonlinear fractional diffusion-wave equation by triangular functions
- The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
- A new operational matrix for solving fractional-order differential equations
- Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Generalized Legendre polynomials
- Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals
- Numerical solution of the Bagley-Torvik equation by Legendre-collocation method
- Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
- Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
- Numerical methods for multi-term fractional (arbitrary) orders differential equations
- Detailed error analysis for a fractional Adams method
- Numerical solution of the Bagley-Torvik equation.
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- The Müntz-Legendre tau method for fractional differential equations
- Fractional-order Bernoulli wavelets and their applications
- New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions
- An efficient approximate method for solving delay fractional optimal control problems
- Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations
- Numerical methods for nonlinear partial differential equations of fractional order
- Numerical solution of fractional integro-differential equations by collocation method
- Solution of fractional differential equations by using differential transform method
- Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
- Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
- Fractional calculus - A different approach to the analysis of viscoelastically damped structures
- Muntz Systems and Orthogonal Muntz-Legendre Polynomials
- Numerical solution of the Bagley–Torvik equation by the Bessel collocation method
