Numerical solution of fractional derivative equations in mechanics: advances and problems

Hongguang Sun , Wen Chen
ICCES: International Conference on Computational & Experimental Engineering and Sciences 9 ( 4) 215 -218

2009
Exergy analysis of a multi mixture working fluid absorption refrigeration cycle

Soheil Mohtaram , Mohammad Omidi , Ji Lin , Hongguang Sun
Case Studies in Thermal Engineering 15 100540

9
2019
An equivalence between generalized Maxwell model and fractional Zener model

Rui Xiao , Hongguang Sun , Wen Chen
Mechanics of Materials 100 148 -153

30
2016
Transport properties of concrete-like granular materials interacted by their microstructures and particle components

Wenxiang Xu , Hongguang Sun , Wen Chen , Huisu Chen
International Journal of Modern Physics B 32 ( 18) 1840011

35
2017
A coupled method for inverse source problem of spatial fractional anomalous diffusion equations

Hui Wei , Wen Chen , Hongguang Sun , Xicheng Li
Inverse Problems in Science and Engineering 18 ( 7) 945 -956

85
2010
Fractional derivative anomalous diffusion equation modeling prime number distribution

Wen Chen , Yingjie Liang , Shuai Hu , Hongguang Sun
Fractional Calculus and Applied Analysis 18 ( 3) 789 -798

22
2015
FCAA special issue – In memory of late professor Wen Chen (FCAA–Volume 22–6–2019)

YangQuan Chen , Changpin Li , Igor Podlubny , Hongguang Sun
Fractional Calculus and Applied Analysis 22 ( 6) 1437 -1448

2019
The improved backward substitution method for the simulation of time-dependent nonlinear coupled Burgers’ equations

Yuhui Zhang , Ji Lin , Sergiy Reutskiy , Hongguang Sun
Results in physics 18 103231

3
2020
A distributed-order time fractional derivative model for simulating bimodal sub-diffusion in heterogeneous media

Maosheng Yin , Rui Ma , Yong Zhang , Song Wei
Journal of Hydrology 591 125504

14
2020
Stretched exponential stability of nonlinear Hausdorff dynamical systems

Wen Chen , Xindong Hei , Hongguang Sun , Dongliang Hu
Chaos Solitons & Fractals 109 259 -264

2
2018
Novel numerical method based on cubic B-splines for a class of nonlinear generalized telegraph equations in irregular domains

Sergiy Reutskiy , Yuhui Zhang , Ji Lin , Hongguang Sun
alexandria engineering journal 59 ( 1) 77 -90

10
2020
Fractional diffusion equations by the Kansa method

Wen Chen , Linjuan Ye , Hongguang Sun
Computers & Mathematics With Applications 59 ( 5) 1614 -1620

245
2010
Anomalous diffusion modeling by fractal and fractional derivatives

Wen Chen , Hongguang Sun , Xiaodi Zhang , Dean Korošak
Computers & Mathematics With Applications 59 ( 5) 1754 -1758

265
2010
Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model

Yanqin Liu , Xiuling Yin , Libo Feng , Hongguang Sun
Advances in Difference Equations 2018 ( 1) 1 -16

3
2018
A variable-order fractional operator based synthesis method for multifractional Gaussian noise

Hu Sheng , Hongguang Sun , YangQuan Chen , TianShuang Qiu
ieee asme international conference on mechatronic and embedded systems and applications 474 -479

1
2010
Analysis of positive solution and Hyers-Ulam stability for a class of singular fractional differential equations with p -Laplacian in Banach space

Hasib Khan , Wen Chen , Hongguang Sun
Mathematical Methods in The Applied Sciences 41 ( 9) 3430 -3440

46
2018
Synthesis of multifractional Gaussian noises based on variable-order fractional operators

Hu Sheng , Hongguang Sun , YangQuan Chen , TianShuang Qiu
Signal Processing 91 ( 7) 1645 -1650

62
2011
A subordinated advection model for uniform bed load transport from local to regional scales

Yong Zhang , Raleigh L. Martin , Dong Chen , Boris Baeumer
Journal of Geophysical Research 119 ( 12) 2711 -2729

23
2014