Sentence examples similar to method for fractional equations from inspiring English sources

There has been a great surge in developing the theoretical aspects such as periodicity, asymptotic behavior and numerical methods for fractional equations.

There has been a great surge in developing new theoretical aspects such as periodicity, asymptotic behavior, and numerical methods for fractional equations.

Recently, M. Zayernouri and G.E. Karniadakis (2014) [10] proposed a new spectral method for fractional differential equations and observed an exponential rate of convergence.

The first author and Ghoreishi have applied this method for fractional differential equations with Caputo derivative [7].

We conclude by summary and discussion of our method for fractional differential equation in the last section.

The first one is to investigate the singular Sturm-Liouville problem of (1.5) with the Dirichlet boundary condition [29 31], the other is to give an implicit numerical method for fractional diffusion equation with non-homogeneous Dirichlet boundary.

We propose a high order explicit finite difference method for fractional advection diffusion equations.

Khader [4] researched the fractional Chebyshev finite difference method for fractional Riccati differential equations.

Odibat and Momani [3] investigated a modified homotopy perturbation method for fractional Riccati differential equations.

The time evolution is also discrete, that is, the time goes by steps of (Delta t=0.02), and is solved by an Adams-type predictor-corrector method for fractional-order equation.

Notably, the inverse can be computed in a very stable manner, so this offers optimal preconditioners for usual fractional collocation methods for fractional differential equations (FDEs).