An alternating direction implicit legendre spectral method for simulating a 2D multi-term time-fractional Oldroyd-B fluid type diffusion equation

Numerical analysis of flow and forced convection heat transfer of non-Newtonian fluid in a pipe based on fractional constitutive model

(2021) Ailian Chang et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Generalized squared remainder minimization method for solving multi-term fractional differential equations

(2021) Mir Sajjad Hashemi et al.   Nonlinear Analysis-Modelling and Control

Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation

(2020) Yanqin Liu et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Some further results of the laplace transform for variable–order fractional difference equations

(2020) Dumitru Baleanu et al.   Fractional Calculus and Applied Analysis

Flow and heat transfer of generalized Maxwell fluid over a moving plate with distributed order time fractional constitutive models

(2020) Lin Liu et al.   INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER

Fast Mixing in Heterogeneous Media Characterized by Fractional Derivative Model

(2020) Yingjie Liang et al.   TRANSPORT IN POROUS MEDIA

Stability and convergence of multistep schemes for 1D and 2D fractional model with nonlinear source term

(2020) Rahul Kumar Maurya et al.   APPLIED MATHEMATICAL MODELLING

An implicit difference scheme for the time-fractional Cahn–Hilliard equations

(2020) Maohua Ran et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Linearized Galerkin FEMs for Nonlinear Time Fractional Parabolic Problems with Non-smooth Solutions in Time Direction

(2019) Dongfang Li et al.   JOURNAL OF SCIENTIFIC COMPUTING

An adaptive finite element method for the sparse optimal control of fractional diffusion

(2019) Enrique Otárola   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation

(2018) Mehdi Dehghan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

(2018) Zeting Liu et al.   APPLIED NUMERICAL MATHEMATICS

Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains

(2018) Libo Feng et al.   Communications in Nonlinear Science and Numerical Simulation

Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations

(2017) Hengfei Ding et al.   Fractional Calculus and Applied Analysis

Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid

(2016) Chunying Ming et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A two-grid finite element approximation for a nonlinear time-fractional Cable equation

(2016) Yang Liu et al.   NONLINEAR DYNAMICS

A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation

(2016) Rezvan Salehi   NUMERICAL ALGORITHMS

Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations

(2015) Mehdi Dehghan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

The Galerkin finite element method for a multi-term time-fractional diffusion equation

(2015) Bangti Jin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation

(2015) Minling Zheng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

(2014) Fanhai Zeng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Viscoelastic flows with fractional derivative models: Computational approach by convolutional calculus of Dimovski

(2014) Emilia Bazhlekova et al.   Fractional Calculus and Applied Analysis

Exact solutions of multi-term fractional diffusion-wave equations with Robin type boundary conditions

(2013) Xiao-jing Liu et al.   APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

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

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

Slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative

(2011) Liancun Zheng et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation

(2010) Yury Luchko   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Analytical time-domain Green’s functions for power-law media

(2008) James F. Kelly et al.   JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA

Fractional Cable Models for Spiny Neuronal Dendrites

(2008) B. I. Henry et al.   PHYSICAL REVIEW LETTERS