Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
DOI10.1007/s40314-017-0547-5zbMath1404.65078OpenAlexW2775330857MaRDI QIDQ1993661
S. Sabermahani, Sohrab Ali Yousefi, Yadollah Ordokhani
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-017-0547-5
Laplace transformcollocation methodnumerical solutionfractional differential equationsoperational matrixfractional-order Lagrange polynomial
Numerical methods for initial value problems involving ordinary differential equations (65L05) Laplace transform (44A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Fractional ordinary differential equations (34A08)
Related Items (28)
Cites Work
- Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
- Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
- The construction of operational matrix of fractional derivatives using B-spline functions
- A numerical method for solving boundary value problems for fractional differential equations
- Application of Legendre wavelets for solving fractional differential equations
- Homotopy analysis method for fractional IVPs
- Generalized Taylor's formula
- A new operational matrix for solving fractional-order differential equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Fractional-order Legendre functions for solving fractional-order differential equations
- Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
- Application of variational iteration method to nonlinear differential equations of fractional order
- Lagrange interpolation to compute the numerical solutions of differential, integral and integro-differential equations
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Long memory processes and fractional integration in econometrics
- Fractional-order Bernoulli wavelets and their applications
- New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions
- Numerical solution of distributed order fractional differential equations by hybrid functions
- Solving a multi-order fractional differential equation using Adomian decomposition
- Finite difference approximations for two-sided space-fractional partial differential equations
- On fractional calculus and fractional multipoles in electromagnetism
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations