Numerical solution of fractional differential equations using fractional Chebyshev polynomials
DOI10.1142/S1793557122500486zbMath1490.65136OpenAlexW3153968160WikidataQ115244511 ScholiaQ115244511MaRDI QIDQ5865945
Publication date: 10 June 2022
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557122500486
collocation methodapproximate solutionfractional differential equationBagley-Torvik equationfractional relaxation-oscillation equationfractional order Chebyshev polynomials
Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)
Cites Work
- Numerical approach for solving fractional relaxation-oscillation equation
- The approximate solution of high-order linear fractional differential equations with variable coefficients in terms of generalized Taylor polynomials
- Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method
- On the convergence of spline collocation methods for solving fractional differential equations
- Numerical solution of fractional differential equations using the generalized block pulse operational matrix
- Approximate solution of fractional integro-differential equations by Taylor expansion method
- A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
- Controller design for integer and fractional plants using piecewise orthogonal functions
- A collocation-shooting method for solving fractional boundary value problems
- Factorization properties of Chebyshev polynomials
- A survey on third and fourth kind of Chebyshev polynomials and their applications
- Schur-Weyl duality for infinitesimal \(q\)-Schur algebras \(s_q(2,r)_1\).
- Basic theory of fractional differential equations
- A new collocation method for solution of mixed linear integro-differential-difference equations
- A new operational matrix for solving fractional-order differential equations
- Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An algorithm for the numerical solution of differential equations of fractional order
- Numerical solution of fractional order differential equations by extrapolation
- Chebyshev finite difference approximation for the boundary value problems
- Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Numerical solution of the Bagley-Torvik equation.
- The representation theory of cyclotomic Temperley-Lieb algebras.
- The third and fourth kinds of Chebyshev polynomials and best uniform approximation
- Regarding new numerical solution of fractional schistosomiasis disease arising in biological phenomena
- Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
- Numerical comparison of methods for solving linear differential equations of fractional order
- Fractional-order dynamical models of love
- Solution of fractional differential equations by using differential transform method
- The product of the generators of a finite group generated by reflections
- Theoretical Numerical Analysis
- A new analytical approximate method for the solution of fractional differential equations
- Chebyshev polynomials and the modulary group of level p
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Numerical solution of fractional differential equations using fractional Chebyshev polynomials
