A quadrature method for numerical solutions of fractional differential equations
From MaRDI portal
Publication:1736117
DOI10.1016/j.amc.2017.02.053zbMath1411.65093OpenAlexW2596472268MaRDI QIDQ1736117
Amna Idrees, Umer Saeed, Mujeeb Ur Rehman
Publication date: 29 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.02.053
Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Related Items
A collocation methods based on the quadratic quadrature technique for fractional differential equations, Numerical solution of the Bagley-Torvik equation using shifted Chebyshev operational matrix, An efficient numerical method for variable order fractional functional differential equation, Solving fractional differential equations using collocation method based onhybrid of block-pulse functions and Taylor polynomials, SOLUTION OF VARIABLE-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING HAAR WAVELET COLLOCATION TECHNIQUE, A numerical method for solving Caputo's and Riemann-Liouville's fractional differential equations which includes multi-order fractional derivatives and variable coefficients, Empirical analysis of fractional differential equations model for relationship between enterprise management and financial performance, A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula, A novel graph-operational matrix method for solving multidelay fractional differential equations with variable coefficients and a numerical comparative survey of fractional derivative types, Numerical solution of the Bagley-Torvik equation using Laguerre polynomials, Numerical solution of fractional-order time-varying delayed differential systems using Lagrange interpolation, A numerical method based on quadrature rules for \(\psi\)-fractional differential equations, Multi-term time-fractional stochastic differential equations with non-Lipschitz coefficients
Cites Work
- Unnamed Item
- Fractional variational iteration method and its application
- Solving systems of fractional differential equations by homotopy-perturbation method
- The Legendre wavelet method for solving fractional differential equations
- A new numerical approximation for Volterra integral equations combining two quadrature rules
- Homotopy analysis method for fractional IVPs
- General solution of the Bagley-Torvik equation with fractional-order derivative
- Application of generalized differential transform method to multi-order fractional differential equations
- A finite difference method for fractional partial differential equation
- Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis
- The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- An operational method for solving fractional differential equations with the Caputo derivatives
- Numerical solution of fractional order differential equations by extrapolation
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Numerical solution of the Bagley-Torvik equation.
- The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition
- Fractional convolution quadrature based on generalized Adams methods
- A hybrid algorithm for Caputo fractional differential equations
- Numerical method to initial-boundary value problems for fractional partial differential equations with time-space variable coefficients
- Numerical solution of distributed order fractional differential equations by hybrid functions
- Solving a multi-order fractional differential equation using Adomian decomposition
- Numerical comparison of methods for solving linear differential equations of fractional order
- Generalized differential transform method: Application to differential equations of fractional order
- Solution of fractional differential equations by using differential transform method
- Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
- On the Construction and Properties of $m$-step Methods for FDEs
- Dynamics of the fractional oscillator
