Edit Profile (opens in new tab) Sun, Hongguang Co-Author Distance Author ID: sun.hongguang Published as: Sun, HongGuang; Sun, Hongguang; Sun, Hong Guang; Sun, Hong-Guang; Sun, H. G. more...less External Links: ORCID Documents Indexed: 65 Publications since 1999, including 1 Book and 3 Additional arXiv Preprints Co-Authors: 88 Co-Authors with 64 Joint Publications 3,851 Co-Co-Authors all top 5 Co-Authors 0 single-authored 21 Chen, Wen 16 Zhang, Yong 6 Chen, Yangquan 6 Liu, Xiaoting 5 Fazli, Hossein 5 Zheng, Chunmiao 4 Băleanu, Dumitru I. 4 Chang, AiLian 4 Fu, Zhuojia 4 Nieto Roig, Juan Jose 3 Khan, Hasib 3 Liu, Yanqin 3 Sheng, Hu 3 Wang, Zhaoyang 3 Yin, Xiuling 2 Aghchi, Sima 2 Feng, Libo 2 Gu, Yan 2 Hu, Dongliang 2 Khan, Mushtaq Ahmad 2 Li, Xicheng 2 Liang, Yingjie 2 Lin, Ji 2 Lu, Bingqing 2 Wei, Hui 2 Xu, Yi 2 Yu, Xiangnan 2 Zhang, Yuhui 1 Azadi, Marzieh 1 Bai, Yu 1 Błaszczyk, Tomasz 1 Cajić, Milan 1 Chen, Dong 1 Chen, Li 1 Chen, Wen 1 Fang, Jun 1 Garrard, Rhiannon M. 1 Guo, Zhilin 1 Hajipour, Mojtaba 1 Hansen, Samantha E. 1 Hao, Xiaoxiao 1 Hei, Xindong 1 Hu, Shuai 1 Jafari, Hossein 1 Jajarmi, Amin 1 Jiang, Yuehua 1 Karličić, Danilo Z. 1 Khan, Aziz Ullah 1 Korošak, Dean 1 Lazarević, Mihailo P. 1 Li, Changpin 1 Li, Yongjin 1 Li, Zhipeng 1 Lu, Chengpeng 1 Ma, Ji 1 Ma, Rui 1 Min, Fanlu 1 Nie, Jiayi 1 Nie, Shiqian 1 Pang, Guofei 1 Pantula, Sastry G. 1 Qiu, Tianshuang 1 Reeves, Donald M. 1 Reutskiy, Sergiy Yu 1 Rosin, M. S. 1 Schaefer, Sydney 1 Sibatov, Renat T. 1 Siedlecki, Jarosław 1 Stowell, Harold H. 1 Sun, Haiwei 1 Sze, Kam-Yim 1 Tang, Zhuochao 1 Ullah, Asmat 1 Wang, Yuanyuan 1 Wei, Song 1 Xiao, Rui 1 Xin, Baogui 1 Xu, Wei 1 Ye, Linjuan 1 Yi, Shichao 1 Yu, Lin 1 Yu, ZhongBo 1 Zayernouri, Mohsen 1 Zhang, Chuanzeng 1 Zhang, Cuiping 1 Zhang, Xiaodi 1 Zhang, Yan 1 Zhao, Dazhi 1 Zhu, Jianting all top 5 Serials 7 Fractional Calculus & Applied Analysis 5 Computers & Mathematics with Applications 5 Communications in Nonlinear Science and Numerical Simulation 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 Chaos, Solitons and Fractals 3 Computational Mechanics 3 Journal of Nonlinear Science and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Signal Processing 2 Advances in Difference Equations 1 Modern Physics Letters B 1 Acta Mechanica 1 Journal of Computational Physics 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Statistics & Probability Letters 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 Science in China. Series E 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 CMES. Computer Modeling in Engineering & Sciences 1 Carpathian Journal of Mathematics 1 Inverse Problems in Science and Engineering 1 Advances in Applied Mathematics and Mechanics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Mathematics 1 International Journal of Applied and Computational Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Fields 33 Partial differential equations (35-XX) 25 Real functions (26-XX) 19 Numerical analysis (65-XX) 16 Fluid mechanics (76-XX) 11 Ordinary differential equations (34-XX) 6 Mechanics of deformable solids (74-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 1,471 times in 1,249 Documents Cited by ▼ Year ▼ A new collection of real world applications of fractional calculus in science and engineering. Zbl 1509.26005 Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan 346 2018 Anomalous diffusion modeling by fractal and fractional derivatives. Zbl 1189.35355 Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean 141 2010 Fractional diffusion equations by the Kansa method. Zbl 1189.35356 Chen, Wen; Ye, Linjuan; Sun, Hongguang 128 2010 A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. Zbl 1428.34001 Sun, HongGuang; Chang, Ailian; Zhang, Yong; Chen, Wen 116 2019 On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 1509.65071 Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang 70 2019 Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079 Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan 62 2012 A coupled method for inverse source problem of spatial fractional anomalous diffusion equations. Zbl 1204.65116 Wei, Hui; Chen, Wen; Sun, Hongguang; Li, Xicheng 44 2010 A review of applications of fractional calculus in Earth system dynamics. Zbl 1374.86028 Zhang, Yong; Sun, HongGuang; Stowell, Harold H.; Zayernouri, Mohsen; Hansen, Samantha E. 43 2017 A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives. Zbl 1481.65130 Gu, Yan; Sun, HongGuang 42 2020 Random-order fractional differential equation models. Zbl 1203.94056 Sun, HongGuang; Chen, YangQuan; Chen, Wen 40 2011 A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains. Zbl 1411.65137 Fu, Zhuo-Jia; Reutskiy, Sergiy; Sun, Hong-Guang; Ma, Ji; Khan, Mushtaq Ahmad 37 2019 On mean square displacement behaviors of anomalous diffusions with variable and random orders. Zbl 1235.82018 Sun, Hongguang; Chen, Wen; Sheng, Hu; Chen, Yangquan 34 2010 Analysis of positive solution and Hyers-Ulam stability for a class of singular fractional differential equations with \(p\)-laplacian in Banach space. Zbl 1394.34017 Khan, Hasib; Chen, Wen; Sun, Hongguang 30 2018 Synthesis of multifractional Gaussian noises based on variable-order fractional operators. Zbl 1213.94049 Sheng, Hu; Sun, Hongguang; Chen, Yangquan; Qiu, Tianshuang 30 2011 Relaxation and diffusion models with non-singular kernels. Zbl 1400.82141 Sun, HongGuang; Hao, Xiaoxiao; Zhang, Yong; Baleanu, Dumitru 22 2017 A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation. Zbl 1380.65310 Sun, HongGuang; Liu, Xiaoting; Zhang, Yong; Pang, Guofei; Garrard, Rhiannon 19 2017 A space fractional constitutive equation model for non-Newtonian fluid flow. Zbl 1470.76019 Sun, HongGuang; Zhang, Yong; Wei, Song; Zhu, Jianting; Chen, Wen 18 2018 Multiscale statistical model of fully-developed turbulence particle accelerations. Zbl 1386.76089 Chen, Wen; Sun, Hongguang 17 2009 A semi-discrete finite element method for a class of time-fractional diffusion equations. Zbl 1339.65156 Sun, HongGuang; Chen, Wen; Sze, K. Y. 17 2013 An efficient localized collocation solver for anomalous diffusion on surfaces. Zbl 1498.65176 Tang, Zhuochao; Fu, Zhuojia; Sun, HongGuang; Liu, Xiaoting 17 2021 Fractional derivative anomalous diffusion equation modeling prime number distribution. Zbl 1391.11112 Chen, Wen; Liang, Yingjie; Hu, Shuai; Sun, Hongguang 16 2015 Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel. Zbl 1408.26011 Zhao, Dazhi; Sun, HongGuang 12 2019 A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs. Zbl 1514.76073 Chang, Ailian; Sun, HongGuang; Zheng, Chunmiao; Lu, Bingqing; Lu, Chengpeng; Ma, Rui; Zhang, Yong 12 2018 Time-space fractional derivative models for \(\text{CO}_{2}\) transport in heterogeneous media. Zbl 1439.35522 Chang, AiLian; Sun, Hong Guang 11 2018 Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence. Zbl 1386.76090 Sun, Hongguang; Chen, Wen 11 2009 A scale-dependent finite difference approximation for time fractional differential equation. Zbl 1467.76038 Liu, XiaoTing; Sun, HongGuang; Zhang, Yong; Fu, Zhuojia 10 2019 Spatial fractional Darcy’s law to quantify fluid flow in natural reservoirs. Zbl 1514.76086 Chang, Ailian; Sun, HongGuang; Zhang, Yong; Zheng, Chunmiao; Min, Fanlu 10 2019 Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation. Zbl 1450.65132 Liu, Yanqin; Sun, Hongguang; Yin, Xiuling; Feng, Libo 10 2020 Testing for trends in correlated data. Zbl 0932.62105 Sun, Hongguang; Pantula, Sastry G. 9 1999 Existence of solution and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator. Zbl 1412.47140 Khan, Hasib; Li, Yongjin; Sun, Hongguang; Khan, Aziz 9 2017 Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions. Zbl 1498.34024 Fazli, Hossein; Sun, HongGuang; Aghchi, Sima 8 2021 Fractional derivative modeling in mechanics and engineering. Zbl 1492.74001 Chen, Wen; Sun, HongGuang; Li, Xicheng 7 2022 Fractional-order model for the vibration of a nanobeam influenced by an axial magnetic field and attached nanoparticles. Zbl 1430.74121 Cajić, Milan; Lazarević, Mihailo; Karličić, Danilo; Sun, HongGuang; Liu, Xiaoting 7 2018 Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparison. Zbl 1416.35300 Yu, Xiangnan; Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao 6 2018 New existence and stability results for fractional Langevin equation with three-point boundary conditions. Zbl 1476.34020 Fazli, Hossein; Sun, HongGuang; Nieto, Juan J. 6 2021 An efficient variational method for restoring images with combined additive and multiplicative noise. Zbl 1397.94012 Ullah, Asmat; Chen, Wen; Khan, Mushtaq Ahmad; Sun, HongGuang 5 2017 Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media. Zbl 1464.82017 Liang, Yingjie; Chen, Wen; Xu, Wei; Sun, HongGuang 5 2019 Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model. Zbl 1448.65131 Liu, Yanqin; Yin, Xiuling; Feng, Libo; Sun, Hongguang 4 2018 A new Mittag-Leffler function undetermined coefficient method and its applications to fractional homogeneous partial differential equations. Zbl 1412.35045 Liu, YanQin; Sun, HongGuang; Yin, XiuLing; Xin, BaoGui 4 2017 Inequalities for new class of fractional integral operators. Zbl 1412.26036 Khan, Hasib; Sun, Hongguang; Chen, Wen; Baleanu, Dumitru 4 2017 Generalized finite difference method for a class of multidimensional space-fractional diffusion equations. Zbl 07360491 Sun, Hong Guang; Wang, Zhaoyang; Nie, Jiayi; Zhang, Yong; Xiao, Rui 4 2021 Application of tempered-stable time fractional-derivative model to upscale subdiffusion for pollutant transport in field-scale discrete fracture networks. Zbl 1404.76282 Lu, Bingqing; Zhang, Yong; Reeves, Donald M.; Sun, HongGuang; Zheng, Chunmiao 3 2018 Vertical distribution of suspended sediment under steady flow: existing theories and fractional derivative model. Zbl 1370.76183 Nie, Shiqian; Sun, HongGuang; Zhang, Yong; Chen, Dong; Chen, Wen; Chen, Li; Schaefer, Sydney 3 2017 Homotopy method for parameter determination of solute transport with fractional advection-dispersion equation. Zbl 1356.76367 Wei, Hui; Chen, Wen; Sun, Hongguang 3 2014 Lie symmetry reductions and conservation laws for fractional order coupled KdV system. Zbl 1485.35391 Jafari, Hossein; Sun, Hong Guang; Azadi, Marzieh 3 2020 Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations. Zbl 1521.65077 Wang, Zhaoyang; Sun, HongGuang 3 2021 Fréchet-Kolmogorov compactness of Prabhakar integral operator. Zbl 1475.45021 Fazli, Hossein; Sun, HongGuang; Nieto, Juan J. 3 2021 A hybrided trapezoidal-difference scheme for nonlinear time-fractional fourth-order advection-dispersion equation based on Chebyshev spectral collocation method. Zbl 1488.65526 Yi, Shichao; Sun, Hongguang 2 2019 MHD flow, radiation heat and mass transfer of fractional Burgers’ fluid in porous medium with chemical reaction. Zbl 1524.76017 Jiang, Yuehua; Sun, HongGuang; Bai, Yu; Zhang, Yan 2 2022 A space-time backward substitution method for three-dimensional advection-diffusion equations. Zbl 1524.76271 Sun, HongGuang; Xu, Yi; Lin, Ji; Zhang, Yuhui 2 2021 Stretched exponential stability of nonlinear Hausdorff dynamical systems. Zbl 1390.37044 Chen, Wen; Hei, Xindong; Sun, Hongguang; Hu, Dongliang 1 2018 An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends. Zbl 1508.35179 Blaszczyk, Tomasz; Siedlecki, Jaroslaw; Sun, HongGuang 1 2021 An investigation on continuous time random walk model for bedload transport. Zbl 1436.60046 Li, ZhiPeng; Sun, HongGuang; Sibatov, Renat T. 1 2019 Lagrangian solver for vector fractional diffusion in bounded anisotropic aquifers: development and application. Zbl 1439.26029 Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao 1 2019 Fractional derivative modeling in mechanics and engineering. Zbl 1492.74001 Chen, Wen; Sun, HongGuang; Li, Xicheng 7 2022 MHD flow, radiation heat and mass transfer of fractional Burgers’ fluid in porous medium with chemical reaction. Zbl 1524.76017 Jiang, Yuehua; Sun, HongGuang; Bai, Yu; Zhang, Yan 2 2022 An efficient localized collocation solver for anomalous diffusion on surfaces. Zbl 1498.65176 Tang, Zhuochao; Fu, Zhuojia; Sun, HongGuang; Liu, Xiaoting 17 2021 Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions. Zbl 1498.34024 Fazli, Hossein; Sun, HongGuang; Aghchi, Sima 8 2021 New existence and stability results for fractional Langevin equation with three-point boundary conditions. Zbl 1476.34020 Fazli, Hossein; Sun, HongGuang; Nieto, Juan J. 6 2021 Generalized finite difference method for a class of multidimensional space-fractional diffusion equations. Zbl 07360491 Sun, Hong Guang; Wang, Zhaoyang; Nie, Jiayi; Zhang, Yong; Xiao, Rui 4 2021 Generalized finite difference method with irregular mesh for a class of three-dimensional variable-order time-fractional advection-diffusion equations. Zbl 1521.65077 Wang, Zhaoyang; Sun, HongGuang 3 2021 Fréchet-Kolmogorov compactness of Prabhakar integral operator. Zbl 1475.45021 Fazli, Hossein; Sun, HongGuang; Nieto, Juan J. 3 2021 A space-time backward substitution method for three-dimensional advection-diffusion equations. Zbl 1524.76271 Sun, HongGuang; Xu, Yi; Lin, Ji; Zhang, Yuhui 2 2021 An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends. Zbl 1508.35179 Blaszczyk, Tomasz; Siedlecki, Jaroslaw; Sun, HongGuang 1 2021 A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives. Zbl 1481.65130 Gu, Yan; Sun, HongGuang 42 2020 Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation. Zbl 1450.65132 Liu, Yanqin; Sun, Hongguang; Yin, Xiuling; Feng, Libo 10 2020 Lie symmetry reductions and conservation laws for fractional order coupled KdV system. Zbl 1485.35391 Jafari, Hossein; Sun, Hong Guang; Azadi, Marzieh 3 2020 A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. Zbl 1428.34001 Sun, HongGuang; Chang, Ailian; Zhang, Yong; Chen, Wen 116 2019 On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 1509.65071 Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang 70 2019 A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains. Zbl 1411.65137 Fu, Zhuo-Jia; Reutskiy, Sergiy; Sun, Hong-Guang; Ma, Ji; Khan, Mushtaq Ahmad 37 2019 Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel. Zbl 1408.26011 Zhao, Dazhi; Sun, HongGuang 12 2019 A scale-dependent finite difference approximation for time fractional differential equation. Zbl 1467.76038 Liu, XiaoTing; Sun, HongGuang; Zhang, Yong; Fu, Zhuojia 10 2019 Spatial fractional Darcy’s law to quantify fluid flow in natural reservoirs. Zbl 1514.76086 Chang, Ailian; Sun, HongGuang; Zhang, Yong; Zheng, Chunmiao; Min, Fanlu 10 2019 Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media. Zbl 1464.82017 Liang, Yingjie; Chen, Wen; Xu, Wei; Sun, HongGuang 5 2019 A hybrided trapezoidal-difference scheme for nonlinear time-fractional fourth-order advection-dispersion equation based on Chebyshev spectral collocation method. Zbl 1488.65526 Yi, Shichao; Sun, Hongguang 2 2019 An investigation on continuous time random walk model for bedload transport. Zbl 1436.60046 Li, ZhiPeng; Sun, HongGuang; Sibatov, Renat T. 1 2019 Lagrangian solver for vector fractional diffusion in bounded anisotropic aquifers: development and application. Zbl 1439.26029 Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao 1 2019 A new collection of real world applications of fractional calculus in science and engineering. Zbl 1509.26005 Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan 346 2018 Analysis of positive solution and Hyers-Ulam stability for a class of singular fractional differential equations with \(p\)-laplacian in Banach space. Zbl 1394.34017 Khan, Hasib; Chen, Wen; Sun, Hongguang 30 2018 A space fractional constitutive equation model for non-Newtonian fluid flow. Zbl 1470.76019 Sun, HongGuang; Zhang, Yong; Wei, Song; Zhu, Jianting; Chen, Wen 18 2018 A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs. Zbl 1514.76073 Chang, Ailian; Sun, HongGuang; Zheng, Chunmiao; Lu, Bingqing; Lu, Chengpeng; Ma, Rui; Zhang, Yong 12 2018 Time-space fractional derivative models for \(\text{CO}_{2}\) transport in heterogeneous media. Zbl 1439.35522 Chang, AiLian; Sun, Hong Guang 11 2018 Fractional-order model for the vibration of a nanobeam influenced by an axial magnetic field and attached nanoparticles. Zbl 1430.74121 Cajić, Milan; Lazarević, Mihailo; Karličić, Danilo; Sun, HongGuang; Liu, Xiaoting 7 2018 Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparison. Zbl 1416.35300 Yu, Xiangnan; Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao 6 2018 Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model. Zbl 1448.65131 Liu, Yanqin; Yin, Xiuling; Feng, Libo; Sun, Hongguang 4 2018 Application of tempered-stable time fractional-derivative model to upscale subdiffusion for pollutant transport in field-scale discrete fracture networks. Zbl 1404.76282 Lu, Bingqing; Zhang, Yong; Reeves, Donald M.; Sun, HongGuang; Zheng, Chunmiao 3 2018 Stretched exponential stability of nonlinear Hausdorff dynamical systems. Zbl 1390.37044 Chen, Wen; Hei, Xindong; Sun, Hongguang; Hu, Dongliang 1 2018 A review of applications of fractional calculus in Earth system dynamics. Zbl 1374.86028 Zhang, Yong; Sun, HongGuang; Stowell, Harold H.; Zayernouri, Mohsen; Hansen, Samantha E. 43 2017 Relaxation and diffusion models with non-singular kernels. Zbl 1400.82141 Sun, HongGuang; Hao, Xiaoxiao; Zhang, Yong; Baleanu, Dumitru 22 2017 A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation. Zbl 1380.65310 Sun, HongGuang; Liu, Xiaoting; Zhang, Yong; Pang, Guofei; Garrard, Rhiannon 19 2017 Existence of solution and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator. Zbl 1412.47140 Khan, Hasib; Li, Yongjin; Sun, Hongguang; Khan, Aziz 9 2017 An efficient variational method for restoring images with combined additive and multiplicative noise. Zbl 1397.94012 Ullah, Asmat; Chen, Wen; Khan, Mushtaq Ahmad; Sun, HongGuang 5 2017 A new Mittag-Leffler function undetermined coefficient method and its applications to fractional homogeneous partial differential equations. Zbl 1412.35045 Liu, YanQin; Sun, HongGuang; Yin, XiuLing; Xin, BaoGui 4 2017 Inequalities for new class of fractional integral operators. Zbl 1412.26036 Khan, Hasib; Sun, Hongguang; Chen, Wen; Baleanu, Dumitru 4 2017 Vertical distribution of suspended sediment under steady flow: existing theories and fractional derivative model. Zbl 1370.76183 Nie, Shiqian; Sun, HongGuang; Zhang, Yong; Chen, Dong; Chen, Wen; Chen, Li; Schaefer, Sydney 3 2017 Fractional derivative anomalous diffusion equation modeling prime number distribution. Zbl 1391.11112 Chen, Wen; Liang, Yingjie; Hu, Shuai; Sun, Hongguang 16 2015 Homotopy method for parameter determination of solute transport with fractional advection-dispersion equation. Zbl 1356.76367 Wei, Hui; Chen, Wen; Sun, Hongguang 3 2014 A semi-discrete finite element method for a class of time-fractional diffusion equations. Zbl 1339.65156 Sun, HongGuang; Chen, Wen; Sze, K. Y. 17 2013 Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079 Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan 62 2012 Random-order fractional differential equation models. Zbl 1203.94056 Sun, HongGuang; Chen, YangQuan; Chen, Wen 40 2011 Synthesis of multifractional Gaussian noises based on variable-order fractional operators. Zbl 1213.94049 Sheng, Hu; Sun, Hongguang; Chen, Yangquan; Qiu, Tianshuang 30 2011 Anomalous diffusion modeling by fractal and fractional derivatives. Zbl 1189.35355 Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean 141 2010 Fractional diffusion equations by the Kansa method. Zbl 1189.35356 Chen, Wen; Ye, Linjuan; Sun, Hongguang 128 2010 A coupled method for inverse source problem of spatial fractional anomalous diffusion equations. Zbl 1204.65116 Wei, Hui; Chen, Wen; Sun, Hongguang; Li, Xicheng 44 2010 On mean square displacement behaviors of anomalous diffusions with variable and random orders. Zbl 1235.82018 Sun, Hongguang; Chen, Wen; Sheng, Hu; Chen, Yangquan 34 2010 Multiscale statistical model of fully-developed turbulence particle accelerations. Zbl 1386.76089 Chen, Wen; Sun, Hongguang 17 2009 Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence. Zbl 1386.76090 Sun, Hongguang; Chen, Wen 11 2009 Testing for trends in correlated data. Zbl 0932.62105 Sun, Hongguang; Pantula, Sastry G. 9 1999 all cited Publications top 5 cited Publications all top 5 Cited by 2,201 Authors 40 Băleanu, Dumitru I. 35 Sun, Hongguang 33 Wang, Hong 31 Zheng, Xiangcheng 29 Chen, Wen 21 Fu, Zhuojia 20 Liu, Fawang 16 Fernandez, Arran 15 Machado, José António Tenreiro 14 Abdeljawad, Thabet 14 Atangana, Abdon 14 Gómez-Aguilar, José Francisco 14 Khan, Aziz Ullah 13 Chen, Yangquan 13 Gu, Yan 13 Jiang, Xiaoyun 12 Fu, Hongfei 12 Zhang, Yong 11 Avazzadeh, Zakieh 11 Yang, Xiao-Jun 10 Khan, Hasib 10 Wu, Guocheng 9 Feng, Libo 9 Hamid, Muhammad 9 Turner, Ian William 9 Usman, Muhammad 9 Wang, Fajie 9 Yang, Fan 9 Zaky, Mahmoud A. 8 Jia, Jinhong 8 Li, Xiaoxiao 8 Sun, Haiwei 8 Wei, Ting 8 Yuldashev, Tursun Kamaldinovich 7 Fan, Chia-Ming 7 Liang, Yingjie 7 Lin, Ji 7 Liu, Huan 7 Sun, Zhizhong 7 Sweilam, Nasser Hassan 7 Zeng, Shengda 7 Zhang, Shuqin 7 Zhang, Zhiyong 6 Abbasbandy, Saeid 6 Akgül, Ali 6 Akinyemi, Lanre 6 de Oliveira, Edmundo Capelas 6 Du, Feifei 6 Hendy, Ahmed S. 6 Heydari, Mohammad Hossein 6 Hussain, Manzoor 6 Jafari, Hossein 6 Li, Junpu 6 Liu, Jun 6 Liu, Xiaoting 6 Owolabi, Kolade Matthew 6 Qin, Qinghua 6 Shah, Kamal 6 Tunç, Cemil 6 Wang, Jungang 6 Wei, Yiheng 6 Yang, Yongqing 6 Zada, Akbar 6 Zayernouri, Mohsen 6 Zhao, Dazhi 6 Zheng, Chunmiao 5 Almeida, Ricardo 5 Anh, Vo V. 5 Babolian, Esmail 5 El Sayed, Adel Abd Elaziz 5 Ghehsareh, Hadi Roohani 5 Gu, Yuantong 5 Haq, Sirajul 5 Hassani, Hossein 5 Jajarmi, Amin 5 Li, Gongsheng 5 Lian, Yanping 5 Liu, Dayan 5 Liu, Qingxia 5 Liu, Yanqin 5 Lu, Junguo 5 Malik, Salman A. 5 Raja, Muhammad Asif Zahoor 5 Razzaghi, Mohsen 5 Roul, Pradip 5 Salahshour, Soheil 5 Shivanian, Elyas 5 Srivastava, Hari Mohan 5 Taneco-Hernández, Marco Antonio 5 Tang, Shaoqiang 5 van Bockstal, Karel 5 Xiong, Xiangtuan 5 Yang, Zhiwei 5 Yin, Deshun 5 Zhang, Chuanzeng 5 Zhang, Lingzhong 5 Zhuang, Pinghui 4 Abdelkawy, Mohamed A. 4 Ahmadian, Ali 4 Ali, Umair ...and 2,101 more Authors all top 5 Cited in 216 Serials 67 Chaos, Solitons and Fractals 61 Advances in Difference Equations 53 Applied Mathematics and Computation 53 Communications in Nonlinear Science and Numerical Simulation 46 Computers & Mathematics with Applications 40 Computational and Applied Mathematics 39 Engineering Analysis with Boundary Elements 38 Fractional Calculus & Applied Analysis 34 Fractals 30 Mathematical Methods in the Applied Sciences 29 International Journal of Applied and Computational Mathematics 28 Applied Mathematical Modelling 27 Applied Numerical Mathematics 27 Applied Mathematics Letters 26 Mathematics and Computers in Simulation 25 Physica A 22 Journal of Computational and Applied Mathematics 22 Journal of Scientific Computing 20 International Journal of Computer Mathematics 18 Numerical Algorithms 17 Numerical Methods for Partial Differential Equations 15 Journal of Function Spaces 14 Journal of Computational Physics 13 Mathematical Problems in Engineering 13 Nonlinear Dynamics 13 Inverse Problems in Science and Engineering 12 Computational Mechanics 11 Abstract and Applied Analysis 11 Chaos 11 Advances in Mathematical Physics 10 Advances in Applied Mathematics and Mechanics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Lobachevskii Journal of Mathematics 9 AIMS Mathematics 7 Qualitative Theory of Dynamical Systems 7 Boundary Value Problems 7 Discrete and Continuous Dynamical Systems. Series S 6 Journal of the Franklin Institute 6 Journal of Applied Mathematics and Computing 6 East Asian Journal on Applied Mathematics 5 Neural Networks 5 Journal of Inverse and Ill-Posed Problems 5 Discrete Dynamics in Nature and Society 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Mathematical Modelling and Analysis 5 International Journal of Computational Methods 5 Waves in Random and Complex Media 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Mathematical Extension 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Electronic Research Archive 4 Acta Mechanica 4 Computer Methods in Applied Mechanics and Engineering 4 Meccanica 4 Signal Processing 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Mathematics 4 Mathematics 3 BIT 3 SIAM Journal on Numerical Analysis 3 Turkish Journal of Mathematics 3 Journal of Inequalities and Applications 3 Journal of Applied Mathematics 3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Numerical Mathematics: Theory, Methods and Applications 3 International Journal of Biomathematics 3 Journal of Nonlinear Science and Applications 3 Mathematical Sciences 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Results in Applied Mathematics 2 Computer Physics Communications 2 International Journal of Theoretical Physics 2 Inverse Problems 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Calcolo 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Econometrics 2 Results in Mathematics 2 Circuits, Systems, and Signal Processing 2 Stochastic Analysis and Applications 2 Journal of Computational Mathematics 2 Physica D 2 Journal of Statistical Computation and Simulation 2 Archives of Control Sciences 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Differential Equations (EJDE) 2 Advances in Computational Mathematics 2 Integral Transforms and Special Functions 2 Complexity 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Taiwanese Journal of Mathematics 2 Soft Computing 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Nonlinear Functional Analysis and Applications ...and 116 more Serials all top 5 Cited in 48 Fields 578 Partial differential equations (35-XX) 576 Numerical analysis (65-XX) 396 Real functions (26-XX) 335 Ordinary differential equations (34-XX) 106 Fluid mechanics (76-XX) 78 Systems theory; control (93-XX) 75 Mechanics of deformable solids (74-XX) 74 Operator theory (47-XX) 68 Biology and other natural sciences (92-XX) 66 Special functions (33-XX) 62 Integral equations (45-XX) 53 Probability theory and stochastic processes (60-XX) 38 Statistical mechanics, structure of matter (82-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Integral transforms, operational calculus (44-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 28 Difference and functional equations (39-XX) 23 Measure and integration (28-XX) 23 Classical thermodynamics, heat transfer (80-XX) 23 Information and communication theory, circuits (94-XX) 21 Approximations and expansions (41-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Computer science (68-XX) 13 Statistics (62-XX) 12 Quantum theory (81-XX) 12 Geophysics (86-XX) 11 Optics, electromagnetic theory (78-XX) 9 Operations research, mathematical programming (90-XX) 8 Mechanics of particles and systems (70-XX) 7 Functions of a complex variable (30-XX) 6 Functional analysis (46-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Mathematics education (97-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year