Local discontinuous Galerkin approximations to variable-order time-fractional diffusion model based on the Caputo–Fabrizio fractional derivative

Optimal order finite difference/local discontinuous Galerkin method for variable-order time-fractional diffusion equation

(2020) Leilei Wei et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution

(2020) Changpin Li et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

High-order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo-Fabrizio fractional derivative

(2019) Min Zhang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

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

Analysis and numerical solution of a nonlinear variable-order fractional differential equation

(2019) Hong Wang et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations

(2019) Hengfei Ding et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

An efficient numerical method for variable order fractional functional differential equation

(2018) Jiabao Yang et al.   APPLIED MATHEMATICS LETTERS

A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative

(2017) Zhengguang Liu et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

A meshless method for solving two-dimensional variable-order time fractional advection–diffusion equation

(2017) A. Tayebi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Shallow Water Wave Models with and without Singular Kernel: Existence, Uniqueness, and Similarities

(2017) Emile Franc Doungmo Goufo et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative

(2017) Dumitru Baleanu et al.   Advances in Difference Equations

The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations

(2016) Mehdi Dehghan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Application of generalized Gauss–Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations

(2016) Yao Cheng et al.   MATHEMATICS OF COMPUTATION

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

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

Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data

(2013) Qiang Zhang et al.   NUMERISCHE MATHEMATIK

Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

(2013) Bangti Jin et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative

(2012) Xiaoyun Jiang et al.   Journal of Physics A-Mathematical and Theoretical

Variable-order fractional differential operators in anomalous diffusion modeling

(2009) HongGuang Sun et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS