Numerical approximation for a nonlinear variable-order fractional differential equation via a collocation method

Variable-order fractional calculus: A change of perspective

(2021) Roberto Garrappa et al.   Communications in Nonlinear Science and Numerical Simulation

An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes

(2020) Xiangcheng Zheng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

(2019) HongGuang Sun et al.   Fractional Calculus and Applied Analysis

Wellposedness and regularity of the variable-order time-fractional diffusion equations

(2019) Hong Wang et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Finite difference methods with non-uniform meshes for nonlinear fractional differential equations

(2016) Changpin Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Second-order approximations for variable order fractional derivatives: Algorithms and applications

(2015) Xuan Zhao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

(2015) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Fractional integration and differentiation of variable order: an overview

(2012) Stefan Samko   NONLINEAR DYNAMICS

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

(2011) Kenichi Sakamoto et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

(2011) Yuri Luchko   Fractional Calculus and Applied Analysis

On mean square displacement behaviors of anomalous diffusions with variable and random orders

(2009) HongGuang Sun et al.   PHYSICS LETTERS A

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS