## Wang, Guotao

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 Author ID: wang.guotao Published as: Wang, Guotao; Wang, Guo-tao
 Documents Indexed: 126 Publications since 1969 Co-Authors: 43 Co-Authors with 84 Joint Publications 2,923 Co-Co-Authors
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### Co-Authors

 5 single-authored 60 Zhang, Lihong 25 Ahmad, Bashir 13 Song, Guangxing 12 Agarwal, Ravi P. 9 Băleanu, Dumitru I. 8 Liu, Sanyang 4 Agarwal, Praveen 4 Hou, Wenwen 4 Ntouyas, Sotiris K. 4 Pei, Ke 4 Ren, Xueyan 4 Xu, Haiyong 4 Yang, Zedong 3 Cabada, Alberto 3 Hobiny, Aatef D. 2 Bai, Zhanbing 2 Chand, Mehar 2 Chang, Shih-Sen 2 Guan, Tingting 2 Li, Shaofan 2 Nieto Roig, Juan Jose 2 Richter, David H. 2 Sauer, Roger A. 2 Wang, Lin 2 Wang, Taoli 2 Zhao, Yian 1 Abbas, Micheline 1 Abdeldaim, A. 1 Al-Yami, Maryem 1 Bordas, Stéphane Pierre Alain 1 Chai, Yanfei 1 Chen, Yangquan 1 Climent, Éric 1 Coutier-Delgosha, Olivier 1 Dai, Ho-Kwok 1 Dusseault, Maurice B. 1 Eldeeb, Ahmed Abdel-Moneim 1 Fajardo, L. L. 1 Hou, Yingmin 1 Huang, Xuexiang 1 Jain, Shilpi 1 Jiang, Tongsong 1 Karaman, Ibrahim 1 Kart, H. H. 1 Leitmann, George 1 Li, Wenjuan 1 Liu, Xiaohong 1 Monaquel, Shatha Jameel 1 Mondal, Saiful Rahman 1 Nisar, Kottakkaran S. 1 Ozoe, Hiroyuki 1 Pindera, Jerzy Tadeusz 1 Qin, Jianfang 1 Rashidi, Mohammad Mehdi 1 Rothenburg, Leo 1 Rothmayer, Alric P. 1 Salahuddin 1 Shammakh, Wafa M. 1 Sooppy Nisar, Kottakkaran 1 Su, LingDe 1 Sudsutad, Weerawat 1 Sun, Xiaoyan 1 Sun, Yanyan 1 Tafti, Danesh K. 1 Tariboon, Jessada 1 Vanka, Surya Pratap 1 Vasil’ev, Vasiliĭ Ivanovich 1 Wang, Qiuwang 1 Wei, Baolei 1 Wei, Mei 1 Wu, Yi 1 Xu, J. 1 Yang, Xiao-Jun 1 Zeng, Min 1 Zhang, Jianhao 1 Zhao, Yunhe 1 Zhou, Enlu 1 Zi, Jian
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### Serials

 10 Advances in Difference Equations 9 Abstract and Applied Analysis 8 Applied Mathematics Letters 7 Journal of Computational and Applied Mathematics 6 Journal of Fluid Mechanics 4 Computer Methods in Applied Mechanics and Engineering 4 Nonlinear Analysis. Modelling and Control 3 Acta Mechanica 3 International Journal of Heat and Mass Transfer 3 Applied Mathematics and Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Engineering Analysis with Boundary Elements 2 Computers & Mathematics with Applications 2 Applied Mathematical Modelling 2 Journal of Inequalities and Applications 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Communications in Nonlinear Science and Numerical Simulation 2 Inverse Problems in Science and Engineering 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Nonlinear Science and Applications 2 Journal of Applied Analysis and Computation 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Shock Waves 1 Journal of Optimization Theory and Applications 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Journal of Integral Equations and Applications 1 IEEE Transactions on Signal Processing 1 Indagationes Mathematicae. New Series 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Opuscula Mathematica 1 Nonlinear Studies 1 Communications on Applied Nonlinear Analysis 1 Functional Differential Equations 1 Fractional Calculus & Applied Analysis 1 Journal of Computational Analysis and Applications 1 Acta Analysis Functionalis Applicata. AAFA 1 International Journal of Modern Physics C 1 Physica Scripta 1 Mathematical Modelling and Analysis 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Fixed Point Theory 1 Fixed Point Theory and Applications 1 Boundary Value Problems 1 Pacific Journal of Optimization 1 Acta Mathematica Sinica. Chinese Series 1 Applied and Computational Mathematics 1 Journal of Applied Mathematics & Informatics 1 Afrika Matematika 1 Journal of Fractional Calculus and Applications 1 Mathematical Sciences 1 Journal of Mathematics 1 Journal of Function Spaces 1 AIMS Mathematics
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### Fields

 58 Ordinary differential equations (34-XX) 21 Real functions (26-XX) 18 Operator theory (47-XX) 17 Partial differential equations (35-XX) 17 Numerical analysis (65-XX) 16 Fluid mechanics (76-XX) 13 Integral equations (45-XX) 11 Mechanics of deformable solids (74-XX) 8 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General topology (54-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

98 Publications have been cited 1,438 times in 780 Documents Cited by Year
Positive solutions of nonlinear fractional differential equations with integral boundary value conditions. Zbl 1232.34010
2012
Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order. Zbl 1214.34009
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2011
Nonlinear fractional integro-differential equations on unbounded domains in a Banach space. Zbl 1302.45019
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; Agarwal, Ravi P.
2013
Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. Zbl 1244.34008
Wang, Guotao; Agarwal, Ravi P.; Cabada, Alberto
2012
Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments. Zbl 1238.65077
Wang, Guotao
2012
Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line. Zbl 06892266
Wang, Guotao; Pei, Ke; Agarwal, Ravi P.; Zhang, Lihong; Ahmad, Bashir
2018
Successive iterations for positive extremal solutions of nonlinear fractional differential equations on a half-line. Zbl 1314.34028
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2015
Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions. Zbl 1223.34091
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2011
Monotone iterative method for a class of nonlinear fractional differential equations. Zbl 1273.34021
Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong
2012
Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval. Zbl 1325.34015
Wang, Guotao
2015
Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions. Zbl 1228.34021
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2011
Twin iterative positive solutions of fractional $$q$$-difference Schrödinger equations. Zbl 1377.65167
Wang, Guotao
2018
Radial symmetry of standing waves for nonlinear fractional Hardy-Schrödinger equation. Zbl 1447.35302
Wang, Guotao; Ren, Xueyan; Bai, Zhanbing; Hou, Wenwen
2019
Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain. Zbl 1426.34019
Pei, Ke; Wang, Guotao; Sun, Yanyan
2017
A stable node-based smoothed finite element method for acoustic problems. Zbl 1423.76285
Wang, G.; Cui, X. Y.; Feng, H.; Li, G. Y.
2015
A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations. Zbl 1228.34012
2011
The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative. Zbl 1315.34016
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2014
On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications. Zbl 1334.26052
Liu, Xiaohong; Zhang, Lihong; Agarwal, Praveen; Wang, Guotao
2016
Existence results for a coupled system of nonlinear neutral fractional differential equations. Zbl 1308.34103
Liu, Sanyang; Wang, Guotao; Zhang, Lihong
2013
A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem. Zbl 1100.74009
Li, S.; Sauer, R.; Wang, G.
2005
Integral boundary value problems for first order integro-differential equations with deviating arguments. Zbl 1169.45002
Wang, Guotao; Song, Guangxing; Zhang, Lihong
2009
Stability analysis of nonlinear Hadamard fractional differential system. Zbl 1418.34111
Wang, Guotao; Pei, Ke; Chen, YangQuan
2019
A coupled system of nonlinear fractional differential equations with multipoint fractional boundary conditions on an unbounded domain. Zbl 1242.34010
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2012
A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells. Zbl 1403.74325
Wang, G.; Cui, X. Y.; Liang, Z. M.; Li, G. Y.
2015
New common fixed point theorems for maps on cone metric spaces. Zbl 1195.54089
Song, Guangxing; Sun, Xiaoyan; Zhao, Yian; Wang, Guotao
2010
Convective heat transfer in periodic wavy passages. Zbl 0922.76099
Wang, G.; Vanka, S. P.
1995
Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments. Zbl 1235.34209
Ntouyas, Sotiris K.; Wang, Guotao; Zhang, Lihong
2011
Existence and approximation of positive solutions for nonlinear fractional integro-differential boundary value problems on an unbounded domain. Zbl 1348.34031
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2016
Neutral fractional integro-differential equation with nonlinear term depending on lower order derivative. Zbl 1293.45005
Wang, Guotao; Liu, Sanyang; Zhang, Lihong
2014
Boundary value problems for systems of nonlinear integro-differential equations with deviating arguments. Zbl 1195.45033
Wang, Guotao
2010
Certain Grüss type inequalities involving the generalized fractional integral operator. Zbl 1308.26025
Wang, Guotao; Agarwal, Praveen; Chand, Mehar
2014
Monotone iterative technique for a nonlinear fractional $$q$$-difference equation of Caputo type. Zbl 1419.34216
2016
Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy-Schrödinger systems. Zbl 1451.35200
Wang, Guotao; Ren, Xueyan
2020
Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument. Zbl 1268.34158
Wang, Guotao; Ntouyas, S. K.; Zhang, Lihong
2011
Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order. Zbl 1210.34110
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2010
Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses. Zbl 1282.34012
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2012
On a nonlinear Hadamard type fractional differential equation with $$p$$-Laplacian operator and strip condition. Zbl 1349.34022
Wang, Guotao; Wang, Taoli
2016
New existence results and comparison principles for impulsive integral boundary value problem with lower and upper solutions in reversed order. Zbl 1213.45009
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2011
Some dynamic inequalities on time scales and their applications. Zbl 1459.26043
El-Deeb, A. A.; Xu, Haiyong; Abdeldaim, A.; Wang, Guotao
2019
Comments on the concept of existence of solution for impulsive fractional differential equations. Zbl 1470.34031
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong; Nieto, Juan J.
2014
Radial symmetry of solution for fractional $$p$$- Laplacian system. Zbl 1437.35015
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; Ren, Xueyan
2020
Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions. Zbl 1261.34015
Zhang, Lihong; Wang, Guotao
2011
Two mechanisms of modulation of very-large-scale motions by inertial particles in open channel flow. Zbl 1415.76702
Wang, G.; Richter, D. H.
2019
Explicit iteration to Hadamard fractional integro-differential equations on infinite domain. Zbl 1422.45009
Wang, Guotao; Pei, Ke; Baleanu, Dumitru
2016
Existence results for nonlinear fractional differential equations with closed boundary conditions and impulses. Zbl 1377.34016
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2012
A nodal integration axisymmetric thin shell model using linear interpolation. Zbl 1452.74075
Cui, X. Y.; Wang, G.; Li, G. Y.
2016
An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh. Zbl 1439.74404
Cui, X. Y.; Hu, X.; Wang, G.; Li, G. Y.
2017
Modulation of the regeneration cycle by neutrally buoyant finite-size particles. Zbl 1415.76286
Wang, G.; Abbas, Micheline; Climent, E.
2018
Radial solutions of a nonlinear $$k$$-Hessian system involving a nonlinear operator. Zbl 1454.35143
Wang, Guotao; Yang, Zedong; Zhang, Lihong; Baleanu, Dumitru
2020
Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions. Zbl 1410.34036
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2015
A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics. Zbl 1428.74191
Feng, S. Z.; Bordas, S. P. A.; Han, X.; Wang, G.; Li, Z. X.
2019
The composite Eshelby tensors and their applications to homogenization. Zbl 1144.74032
Sauer, R. A.; Wang, G.; Li, S.
2008
Existence results for nonlinear fractional differential equations involving different Riemann-Liouville fractional derivatives. Zbl 1375.34015
Wang, Guotao; Liu, Sanyang; Baleanu, Dumitru; Zhang, Lihong
2013
An integral boundary value problem for nonlinear differential equations of fractional order on an unbounded domain. Zbl 1318.34011
Wang, Guotao; Cabada, Alberto; Zhang, Lihong
2014
Numerical investigation of natural convection in an inclined enclosure filled with porous medium under magnetic field. Zbl 1113.80016
Wang, Q. W.; Zeng, M.; Huang, Z. P.; Wang, G.; Ozoe, H.
2007
Integro-differential fractional boundary value problem on an unbounded domain. Zbl 1422.45008
Wang, Dong; Wang, Guotao
2016
Nonlocal integrodifferential boundary value problem for nonlinear fractional differential equations on an unbounded domain. Zbl 1470.34035
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; Agarwal, Ravi P.; Al-Yami, Maryem; Shammakh, Wafa
2013
Modulation of the turbulence regeneration cycle by inertial particles in planar Couette flow. Zbl 1415.76305
Wang, G.; Richter, David H.
2019
Existence and nonexistence of solutions for nonlinear second order $$q$$-integro-difference equations with non-separated boundary conditions. Zbl 1327.93233
Agarwal, Ravi P.; Wang, Guotao; Hobiny, Aatef; Zhang, Lihong; Ahmad, Bashir
2015
Existence of multiple positive solutions of a nonlinear arbitrary order boundary value problem with advanced arguments. Zbl 1340.34300
Wang, Guotao; Zhang, Lihong; Ntouyas, S.
2012
Experimental investigation on the evolution of the modulation instability with dissipation. Zbl 1275.76018
Ma, Y.; Dong, G.; Perlin, M.; Ma, X.; Wang, G.
2012
Necessary and sufficient conditions for multistage two-person zero-sum games. Zbl 0169.51706
Wang, G.; Leitmann, G.
1969
On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium. Zbl 1441.76046
Wang, Taoli; Wang, Guotao; Yang, Xiao-Jun
2017
A novel hybrid deterministic-statistical approach for the mid-frequency vibro-acoustic problems. Zbl 1481.76195
Wang, G.; Zhang, Y. X.; Guo, Z. B.; Zhou, Z. G.
2020
A new impulsive multi-orders fractional differential equation involving multipoint fractional integral boundary conditions. Zbl 1474.34056
Wang, Guotao; Liu, Sanyang; Baleanu, Dumitru; Zhang, Lihong
2014
Certain new Grüss type inequalities involving. Zbl 1321.26017
Wang, Guotao; Agarwal, Praveen; Baleanu, Dumitru
2015
Multiplicity of positive solutions for fractional-order three-point boundary value problems. Zbl 1307.34121
Wang, Guotao; Zhang, Lihong; Ntouyas, S. K.
2013
Levitin-Polyak well-posedness in generalized equilibrium problems with functional constraints. Zbl 1188.90276
Wang, G.; Huang, X. X.; Zhang, J.
2010
Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator. Zbl 1447.35084
Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru
2020
Successive iterations for unique positive solution of a nonlinear fractional $$q$$-integral boundary value problem. Zbl 1462.39008
Wang, Guotao; Bai, Zhanbing; Zhang, Lihong
2019
An edge-based smoothed finite element method for the assessment of human exposure to extremely low frequency electric fields. Zbl 07337136
Guo, Z. B.; Wang, G.
2020
Laboratory observations of wave evolution, modulation and blocking due to spatially varying opposing currents. Zbl 1205.76018
Ma, Y.; Dong, G.; Perlin, M.; Ma, X.; Wang, G.; Xu, J.
2010
New existence results for nonlinear impulsive integro-differential equations of fractional order with nonlocal boundary conditions. Zbl 1301.45007
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2013
On nonlocal integral boundary value problems for impulsive nonlinear differential equations of fractional order. Zbl 1312.34027
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2014
On mixed boundary value problem of impulsive semilinear evolution equations of fractional order. Zbl 1275.26018
Zhang, Lihong; Wang, Guotao; Song, Guangxing
2012
Mixed boundary value problems for second order differential equations with different deviated arguments. Zbl 1236.34091
Zhang, Lihong; Wang, Guotao; Song, Guangxing
2011
Image formulas and graphical interpretation of fractional derivatives of $$R$$-function and $$G$$-function. Zbl 1364.26009
Chand, Mehar; Agarwal, Praveen; Jain, Shilpi; Wang, Guotao; Nisar, K. S.
2016
Superiorization-based multi-energy CT image reconstruction. Zbl 1367.65033
Yang, Q.; Cong, W.; Wang, G.
2017
Eigenvalue problem for nonlinear fractional differential equations with integral boundary conditions. Zbl 1474.34057
Wang, Guotao; Liu, Sanyang; Zhang, Lihong
2014
Existence of solutions for nonlinear impulsive fractional differential equations of order $$\alpha \in (2, 3]$$ with nonlocal boundary conditions. Zbl 1246.34014
Zhang, Lihong; Wang, Guotao; Song, Guangxing
2012
On impulsive boundary value problems of fractional differential equations with irregular boundary conditions. Zbl 1253.34018
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2012
Monotone iterative method for a class of nonlinear fractional differential equations on unbounded domains in Banach spaces. Zbl 07388181
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2017
Analysis and application of diffusion equations involving a new fractional derivative without singular kernel. Zbl 1375.35622
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2017
Integral boundary value problem for impulsive integro-differential equations in Banach spaces. Zbl 1368.34091
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2011
Existence results for nonlinear impulsive $$q_k$$-integral boundary value problems. Zbl 1390.39030
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2016
Solutions of initial value problems for systems of nonlinear integro-differential equations in Banach spaces. Zbl 1212.34242
Wang, Guotao; Xu, Haiyong; Song, Guangxing; Zhao, Yi’an
2009
Iterative approximation of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain. Zbl 1297.34011
Wang, Guotao; Liu, Sanyang; Zhang, Lihong
2014
Flow transition in a multilouvered fin array. Zbl 1065.76586
Tafti, D. K.; Wang, G.; Lin, W.
2000
Thin water films driven by air shear stress through roughness. Zbl 1237.76013
Wang, G.; Rothmayer, A. P.
2009
A modified Tikhonov regularization method for parameter estimations of a drawbead model. Zbl 1173.80306
Han, X.; Wang, G.; Liu, G. P.
2009
Extremal solutions for a nonlinear impulsive differential equations with multi-orders fractional derivatives. Zbl 1474.34211
Zhang, Lihong; Nieto, Juan J.; Wang, Guotao
2017
Successive iteration and positive extremal solutions for nonlinear impulsive $$q_{k}$$-difference equations. Zbl 1422.34117
Agarwal, Ravi P.; Wang, Guotao; Ahmad, Bashir; Zhang, Lihong; Hobiny, Aatef
2015
Study on a class of Schrödinger elliptic system involving a nonlinear operator. Zbl 1448.35173
Wang, Guotao; Yang, Zedong; Agarwal, Ravi P.; Zhang, Lihong
2020
Pathway fractional integral operators involving $$\mathtt{k}$$-Struve function. Zbl 1438.26014
Nisar, Kottakkaran Sooppy; Mondal, Saiful Rahman; Wang, Guotao
2019
A new comparison principle and its application to nonlinear impulsive functional integro-differential equations. Zbl 1448.45008
Hou, Yingmin; Zhang, Lihong; Wang, Guotao
2018
Impulsive antiperiodic boundary value problems for nonlinear $$q_k$$-difference equations. Zbl 1470.39022
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2014
Nonlocal boundary value problem for nonlinear impulsive $$q_k$$-integrodifference equation. Zbl 1470.39023
Zhang, Lihong; Baleanu, Dumitru; Wang, Guotao
2014
A class of second order impulsive integro-differential equations on unbounded domain in a Banach space. Zbl 1262.34087
Song, Guangxing; Li, Wenjuan; Wang, Guotao
2008
Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy-Schrödinger systems. Zbl 1451.35200
Wang, Guotao; Ren, Xueyan
2020
Radial symmetry of solution for fractional $$p$$- Laplacian system. Zbl 1437.35015
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; Ren, Xueyan
2020
Radial solutions of a nonlinear $$k$$-Hessian system involving a nonlinear operator. Zbl 1454.35143
Wang, Guotao; Yang, Zedong; Zhang, Lihong; Baleanu, Dumitru
2020
A novel hybrid deterministic-statistical approach for the mid-frequency vibro-acoustic problems. Zbl 1481.76195
Wang, G.; Zhang, Y. X.; Guo, Z. B.; Zhou, Z. G.
2020
Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator. Zbl 1447.35084
Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru
2020
An edge-based smoothed finite element method for the assessment of human exposure to extremely low frequency electric fields. Zbl 07337136
Guo, Z. B.; Wang, G.
2020
Study on a class of Schrödinger elliptic system involving a nonlinear operator. Zbl 1448.35173
Wang, Guotao; Yang, Zedong; Agarwal, Ravi P.; Zhang, Lihong
2020
Radial symmetry of standing waves for nonlinear fractional Hardy-Schrödinger equation. Zbl 1447.35302
Wang, Guotao; Ren, Xueyan; Bai, Zhanbing; Hou, Wenwen
2019
Stability analysis of nonlinear Hadamard fractional differential system. Zbl 1418.34111
Wang, Guotao; Pei, Ke; Chen, YangQuan
2019
Some dynamic inequalities on time scales and their applications. Zbl 1459.26043
El-Deeb, A. A.; Xu, Haiyong; Abdeldaim, A.; Wang, Guotao
2019
Two mechanisms of modulation of very-large-scale motions by inertial particles in open channel flow. Zbl 1415.76702
Wang, G.; Richter, D. H.
2019
A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics. Zbl 1428.74191
Feng, S. Z.; Bordas, S. P. A.; Han, X.; Wang, G.; Li, Z. X.
2019
Modulation of the turbulence regeneration cycle by inertial particles in planar Couette flow. Zbl 1415.76305
Wang, G.; Richter, David H.
2019
Successive iterations for unique positive solution of a nonlinear fractional $$q$$-integral boundary value problem. Zbl 1462.39008
Wang, Guotao; Bai, Zhanbing; Zhang, Lihong
2019
Pathway fractional integral operators involving $$\mathtt{k}$$-Struve function. Zbl 1438.26014
Nisar, Kottakkaran Sooppy; Mondal, Saiful Rahman; Wang, Guotao
2019
Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line. Zbl 06892266
Wang, Guotao; Pei, Ke; Agarwal, Ravi P.; Zhang, Lihong; Ahmad, Bashir
2018
Twin iterative positive solutions of fractional $$q$$-difference Schrödinger equations. Zbl 1377.65167
Wang, Guotao
2018
Modulation of the regeneration cycle by neutrally buoyant finite-size particles. Zbl 1415.76286
Wang, G.; Abbas, Micheline; Climent, E.
2018
A new comparison principle and its application to nonlinear impulsive functional integro-differential equations. Zbl 1448.45008
Hou, Yingmin; Zhang, Lihong; Wang, Guotao
2018
Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain. Zbl 1426.34019
Pei, Ke; Wang, Guotao; Sun, Yanyan
2017
An accurate and efficient scheme for acoustic-structure interaction problems based on unstructured mesh. Zbl 1439.74404
Cui, X. Y.; Hu, X.; Wang, G.; Li, G. Y.
2017
On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium. Zbl 1441.76046
Wang, Taoli; Wang, Guotao; Yang, Xiao-Jun
2017
Superiorization-based multi-energy CT image reconstruction. Zbl 1367.65033
Yang, Q.; Cong, W.; Wang, G.
2017
Monotone iterative method for a class of nonlinear fractional differential equations on unbounded domains in Banach spaces. Zbl 07388181
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2017
Analysis and application of diffusion equations involving a new fractional derivative without singular kernel. Zbl 1375.35622
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2017
Extremal solutions for a nonlinear impulsive differential equations with multi-orders fractional derivatives. Zbl 1474.34211
Zhang, Lihong; Nieto, Juan J.; Wang, Guotao
2017
On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications. Zbl 1334.26052
Liu, Xiaohong; Zhang, Lihong; Agarwal, Praveen; Wang, Guotao
2016
Existence and approximation of positive solutions for nonlinear fractional integro-differential boundary value problems on an unbounded domain. Zbl 1348.34031
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2016
Monotone iterative technique for a nonlinear fractional $$q$$-difference equation of Caputo type. Zbl 1419.34216
2016
On a nonlinear Hadamard type fractional differential equation with $$p$$-Laplacian operator and strip condition. Zbl 1349.34022
Wang, Guotao; Wang, Taoli
2016
Explicit iteration to Hadamard fractional integro-differential equations on infinite domain. Zbl 1422.45009
Wang, Guotao; Pei, Ke; Baleanu, Dumitru
2016
A nodal integration axisymmetric thin shell model using linear interpolation. Zbl 1452.74075
Cui, X. Y.; Wang, G.; Li, G. Y.
2016
Integro-differential fractional boundary value problem on an unbounded domain. Zbl 1422.45008
Wang, Dong; Wang, Guotao
2016
Image formulas and graphical interpretation of fractional derivatives of $$R$$-function and $$G$$-function. Zbl 1364.26009
Chand, Mehar; Agarwal, Praveen; Jain, Shilpi; Wang, Guotao; Nisar, K. S.
2016
Existence results for nonlinear impulsive $$q_k$$-integral boundary value problems. Zbl 1390.39030
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2016
Successive iterations for positive extremal solutions of nonlinear fractional differential equations on a half-line. Zbl 1314.34028
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2015
Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval. Zbl 1325.34015
Wang, Guotao
2015
A stable node-based smoothed finite element method for acoustic problems. Zbl 1423.76285
Wang, G.; Cui, X. Y.; Feng, H.; Li, G. Y.
2015
A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells. Zbl 1403.74325
Wang, G.; Cui, X. Y.; Liang, Z. M.; Li, G. Y.
2015
Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions. Zbl 1410.34036
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2015
Existence and nonexistence of solutions for nonlinear second order $$q$$-integro-difference equations with non-separated boundary conditions. Zbl 1327.93233
Agarwal, Ravi P.; Wang, Guotao; Hobiny, Aatef; Zhang, Lihong; Ahmad, Bashir
2015
Certain new Grüss type inequalities involving. Zbl 1321.26017
Wang, Guotao; Agarwal, Praveen; Baleanu, Dumitru
2015
Successive iteration and positive extremal solutions for nonlinear impulsive $$q_{k}$$-difference equations. Zbl 1422.34117
Agarwal, Ravi P.; Wang, Guotao; Ahmad, Bashir; Zhang, Lihong; Hobiny, Aatef
2015
The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative. Zbl 1315.34016
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2014
Neutral fractional integro-differential equation with nonlinear term depending on lower order derivative. Zbl 1293.45005
Wang, Guotao; Liu, Sanyang; Zhang, Lihong
2014
Certain Grüss type inequalities involving the generalized fractional integral operator. Zbl 1308.26025
Wang, Guotao; Agarwal, Praveen; Chand, Mehar
2014
Comments on the concept of existence of solution for impulsive fractional differential equations. Zbl 1470.34031
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong; Nieto, Juan J.
2014
An integral boundary value problem for nonlinear differential equations of fractional order on an unbounded domain. Zbl 1318.34011
Wang, Guotao; Cabada, Alberto; Zhang, Lihong
2014
A new impulsive multi-orders fractional differential equation involving multipoint fractional integral boundary conditions. Zbl 1474.34056
Wang, Guotao; Liu, Sanyang; Baleanu, Dumitru; Zhang, Lihong
2014
On nonlocal integral boundary value problems for impulsive nonlinear differential equations of fractional order. Zbl 1312.34027
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2014
Eigenvalue problem for nonlinear fractional differential equations with integral boundary conditions. Zbl 1474.34057
Wang, Guotao; Liu, Sanyang; Zhang, Lihong
2014
Iterative approximation of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain. Zbl 1297.34011
Wang, Guotao; Liu, Sanyang; Zhang, Lihong
2014
Impulsive antiperiodic boundary value problems for nonlinear $$q_k$$-difference equations. Zbl 1470.39022
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao
2014
Nonlocal boundary value problem for nonlinear impulsive $$q_k$$-integrodifference equation. Zbl 1470.39023
Zhang, Lihong; Baleanu, Dumitru; Wang, Guotao
2014
Nonlinear fractional integro-differential equations on unbounded domains in a Banach space. Zbl 1302.45019
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; Agarwal, Ravi P.
2013
Existence results for a coupled system of nonlinear neutral fractional differential equations. Zbl 1308.34103
Liu, Sanyang; Wang, Guotao; Zhang, Lihong
2013
Existence results for nonlinear fractional differential equations involving different Riemann-Liouville fractional derivatives. Zbl 1375.34015
Wang, Guotao; Liu, Sanyang; Baleanu, Dumitru; Zhang, Lihong
2013
Nonlocal integrodifferential boundary value problem for nonlinear fractional differential equations on an unbounded domain. Zbl 1470.34035
Zhang, Lihong; Ahmad, Bashir; Wang, Guotao; Agarwal, Ravi P.; Al-Yami, Maryem; Shammakh, Wafa
2013
Multiplicity of positive solutions for fractional-order three-point boundary value problems. Zbl 1307.34121
Wang, Guotao; Zhang, Lihong; Ntouyas, S. K.
2013
New existence results for nonlinear impulsive integro-differential equations of fractional order with nonlocal boundary conditions. Zbl 1301.45007
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2013
Positive solutions of nonlinear fractional differential equations with integral boundary value conditions. Zbl 1232.34010
2012
Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. Zbl 1244.34008
Wang, Guotao; Agarwal, Ravi P.; Cabada, Alberto
2012
Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments. Zbl 1238.65077
Wang, Guotao
2012
Monotone iterative method for a class of nonlinear fractional differential equations. Zbl 1273.34021
Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong
2012
A coupled system of nonlinear fractional differential equations with multipoint fractional boundary conditions on an unbounded domain. Zbl 1242.34010
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2012
Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses. Zbl 1282.34012
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2012
Existence results for nonlinear fractional differential equations with closed boundary conditions and impulses. Zbl 1377.34016
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2012
Existence of multiple positive solutions of a nonlinear arbitrary order boundary value problem with advanced arguments. Zbl 1340.34300
Wang, Guotao; Zhang, Lihong; Ntouyas, S.
2012
Experimental investigation on the evolution of the modulation instability with dissipation. Zbl 1275.76018
Ma, Y.; Dong, G.; Perlin, M.; Ma, X.; Wang, G.
2012
On mixed boundary value problem of impulsive semilinear evolution equations of fractional order. Zbl 1275.26018
Zhang, Lihong; Wang, Guotao; Song, Guangxing
2012
Existence of solutions for nonlinear impulsive fractional differential equations of order $$\alpha \in (2, 3]$$ with nonlocal boundary conditions. Zbl 1246.34014
Zhang, Lihong; Wang, Guotao; Song, Guangxing
2012
On impulsive boundary value problems of fractional differential equations with irregular boundary conditions. Zbl 1253.34018
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2012
Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order. Zbl 1214.34009
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2011
Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions. Zbl 1223.34091
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2011
Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions. Zbl 1228.34021
Wang, Guotao; Ahmad, Bashir; Zhang, Lihong
2011
A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations. Zbl 1228.34012
2011
Positive solutions of arbitrary order nonlinear fractional differential equations with advanced arguments. Zbl 1235.34209
Ntouyas, Sotiris K.; Wang, Guotao; Zhang, Lihong
2011
Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument. Zbl 1268.34158
Wang, Guotao; Ntouyas, S. K.; Zhang, Lihong
2011
New existence results and comparison principles for impulsive integral boundary value problem with lower and upper solutions in reversed order. Zbl 1213.45009
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2011
Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions. Zbl 1261.34015
Zhang, Lihong; Wang, Guotao
2011
Mixed boundary value problems for second order differential equations with different deviated arguments. Zbl 1236.34091
Zhang, Lihong; Wang, Guotao; Song, Guangxing
2011
Integral boundary value problem for impulsive integro-differential equations in Banach spaces. Zbl 1368.34091
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2011
New common fixed point theorems for maps on cone metric spaces. Zbl 1195.54089
Song, Guangxing; Sun, Xiaoyan; Zhao, Yian; Wang, Guotao
2010
Boundary value problems for systems of nonlinear integro-differential equations with deviating arguments. Zbl 1195.45033
Wang, Guotao
2010
Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order. Zbl 1210.34110
Wang, Guotao; Zhang, Lihong; Song, Guangxing
2010
Levitin-Polyak well-posedness in generalized equilibrium problems with functional constraints. Zbl 1188.90276
Wang, G.; Huang, X. X.; Zhang, J.
2010
Laboratory observations of wave evolution, modulation and blocking due to spatially varying opposing currents. Zbl 1205.76018
Ma, Y.; Dong, G.; Perlin, M.; Ma, X.; Wang, G.; Xu, J.
2010
Integral boundary value problems for first order integro-differential equations with deviating arguments. Zbl 1169.45002
Wang, Guotao; Song, Guangxing; Zhang, Lihong
2009
Solutions of initial value problems for systems of nonlinear integro-differential equations in Banach spaces. Zbl 1212.34242
Wang, Guotao; Xu, Haiyong; Song, Guangxing; Zhao, Yi&rsquo;an
2009
Thin water films driven by air shear stress through roughness. Zbl 1237.76013
Wang, G.; Rothmayer, A. P.
2009
A modified Tikhonov regularization method for parameter estimations of a drawbead model. Zbl 1173.80306
Han, X.; Wang, G.; Liu, G. P.
2009
The composite Eshelby tensors and their applications to homogenization. Zbl 1144.74032
Sauer, R. A.; Wang, G.; Li, S.
2008
A class of second order impulsive integro-differential equations on unbounded domain in a Banach space. Zbl 1262.34087
Song, Guangxing; Li, Wenjuan; Wang, Guotao
2008
Numerical investigation of natural convection in an inclined enclosure filled with porous medium under magnetic field. Zbl 1113.80016
Wang, Q. W.; Zeng, M.; Huang, Z. P.; Wang, G.; Ozoe, H.
2007
A circular inclusion in a finite domain. I: The Dirichlet-Eshelby problem. Zbl 1100.74009
Li, S.; Sauer, R.; Wang, G.
2005
Flow transition in a multilouvered fin array. Zbl 1065.76586
Tafti, D. K.; Wang, G.; Lin, W.
2000
Convective heat transfer in periodic wavy passages. Zbl 0922.76099
Wang, G.; Vanka, S. P.
1995
Necessary and sufficient conditions for multistage two-person zero-sum games. Zbl 0169.51706
Wang, G.; Leitmann, G.
1969
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