Pade method for construction of numerical algorithms for fractional initial value problem

DOI10.1155/2020/8964759zbMath1489.65103OpenAlexW3042112806MaRDI QIDQ2194689

Yanyan Li

Publication date: 7 September 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8964759

Mathematics Subject Classification ID

Padé approximation (41A21) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fundamental solutions of the fractional diffusion and the fractional Fokker-Planck equations
• Homotopy perturbation transform method for nonlinear equations using He's polynomials
• The Grünwald-Letnikov method for fractional differential equations
• Axial couette flow of two kinds of fractional viscoelastic fluids in an annulus
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• A new operational matrix for solving fractional-order differential equations
• The variational iteration method for analytic treatment for linear and nonlinear ODEs
• Detailed error analysis for a fractional Adams method
• The short memory principle for solving Abel differential equation of fractional order
• Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations
• Some iterative methods for solving nonlinear equations using homotopy perturbation method
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Pade method for construction of numerical algorithms for fractional initial value problem