Publications
1. Hui Gao, Tian-Zhou Xu, Shaojie Yang, Gangwei Wang, Analytical study of solitons for the variant Boussinesq equations, Nonlinear Dynamics, 88 (2017) , 1139-1146.
2. Hui Gao, Tian-Zhou Xu, Tianyou Fan and Gangwei Wang, Analytic study of solutions for the Born-Infeld equation in nonlinear electrodynamics. Eur. Phys. J. Plus (2017) 132: 139, DOI 10.1140/epjp/i2017-11419-7
3. Shaojie Yang, Tian-Zhou Xu, 1-Soliton and peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto-electro-elastic circular rod, Nonlinear Dynamics, 87 (2017), 2735-2739.
4. Chun Wang, Tian-Zhou Xu, Stability of the nonlinear fractional differential equations with the right-sided Riemann-Liouville fractional derivative, Discrete and Continuous Dynamical Systems -Series S, 10(3)(2017), 505-521.
5. Tian-Zhou Xu, Yali Ding, John Michael Rassias, A fixed point approach to the stability of nonic functional equation in non-Archimedean spaces, Journal of Computational Analysis and Applications, 22 (2017), 359-368.
6. Hui Gao, Tian-Zhou Xu, Shaojie Yang, Gangwei Wang, Exact solutions of a nonlocal nonlinear Schrödinger equation, Optoelectronics and Advanced Materials-Rapid Communications, 9-10 (2016), 651-657.
7. Chun Wang, Tian-Zhou Xu, Hyers–Ulam stability of differential 0perators on reproducing kernel function spaces, Complex Analysis and Operator Theory, 10 (2016), 795-813.
8. Zhan-Peng Yang, Tian-Zhou Xu, Min Qi, Ulam-Hyers stability for fractional differential equations in quaternionic analysis, Advances in Applied Clifford Algebras, 26 (2016), 469-478.
9. Zhan-Peng Yang, Tian-Zhou Xu, Min Qi, The Cauchy problem for quaternion fuzzy fractional differential equations, Journal of Intelligent & Fuzzy Systems 29 (2015), 451-461.
10. Chun Wang, Tian-Zhou Xu, Hyers-Ulam stability of a class of fractional linear differential equations, Kodai Mathematical Journal, 38(2015), 510-520.
11. Gang-Wei Wang, Tian-Zhou Xu, H.A. Zedan, R. Abazari, H. Triki, A. Biswas, Solitary waves, shock waves and other solutions to Nizhniki-Novikov-Veselov equation, Applied and Computational Mathematics an International Journal, 14(2015), 260-283.
12. Gang-Wei Wang, Tian-Zhou Xu, Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation, Nonlinear Analysis: Modeling and Control, 20(2015), 570–584.
13. Zhan-Peng Yang, Tian-Zhou Xu, On New Existence Results for Fractional Differential Equations in Quaternionic Analysis, Advances in Applied Clifford Algebras, 25(2015), 733-740.
14. Chun Wang, Tian-Zhou Xu, Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives, Applications of Mathematics, 60(2015), 383-393.
15. Gang-Wei Wang, Tian-Zhou Xu, Group Analysis, Explicit Solutions and Conservation Laws of the Logarithmic-KdV Equation, Journal of the Korean Physical Society, 66(2015), 1475-1481.
16. Gang-Wei Wang, Tian-Zhou Xu, Optical soliton of time fractional Schrödinger equations with He’s semi-inverse method, Laser Physics, 25(2015), 055402, 1-8.
17. Tian-Zhou Xu, Chun Wang, Themistocles M. Rassias, On the stability of multi-additive mappings in non-Archimedean normed spaces, Journal of Computational Analysis and Applications, 18(2015), 1102-1110.
18. Gang-Wei Wang, Tian-Zhou Xu, R. Abazari, Z. Jovanoski and A. Biswas, Shock Waves and Other Solutions to the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity, Acta Physica Polonica A, 126(2014), 1221-1225.
19. Tian-Zhou Xu, On fuzzy approximately cubic type mapping in fuzzy Banach spaces, Information Sciences, 278(2014), 56-66.
20. Chun Wang, Tian-Zhou Xu, Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions, Journal of Function Spaces, 2014(2014), 398673, 1-6.
21. Gang-Wei Wang, Tian-Zhou Xu, The Modified Fractional Sub-Equation Method and Its Applications to Nonlinear Fractional Partial Differential Equations, Romanian Journal of Physics, 59(2014), 636–645.
22. Gang-Wei Wang, Tian-Zhou Xu, The improved fractional sub-equation method and its applications to nonlinear fractional partial differential equations, Romanian Reports in Physics, 66(2014), 595–602.
23. Gang-Wei Wang, Tian-Zhou Xu, Xi-Qiang Liu, New explicit solutions of the fifth-order KdV equation with variable coefficients, Bulletin of the Malaysian Mathematical Sciences Society, 37(2014), 769–778.
24. Gang-Wei Wang, Tian-Zhou Xu, Anjan Biswas, Topological solitons and conservation laws of the coupled Burgers equations, Romanian Reports in Physics, 66(2014), 274-285.
25. Gang-Wei Wang, Tian-Zhou Xu, Invariant analysis and exact solutions of nonlinear time fractional Sharma-Tasso-Olver equation by Lie group analysis, Nonlinear Dynamics, 76(2014), 571-580.
26. Gang-Wei Wang, Tian-Zhou Xu, Ghodrat Ebadi, Stephen Johnson, Andre J. Strong, Anjan Biswas, Singular solitons, shock waves, and other solutions to potential KdV equation, Nonlinear Dynamics, 76(2014), 1059-1068.
27. Gang-Wei Wang, Tian-Zhou Xu, Tao Feng, Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation, PLOS ONE, 9(2)(2014): e88336, 1-6.
28. Tian-Zhou Xu, Zhan-Peng Yang, John Michael Rassias, Direct and fixed point approaches to the stability of an AQ-functional equation in non-Archimedean normed spaces, Journal of Computational Analysis and Applications, 17(2014), 697-706.
29. Gang-Wei Wang, Tian-Zhou Xu, Stephen Johnson, Anjan Biswas, Solitons and Lie group analysis to an extended quantum Zakharov-Kuznetsov equation, Astrophysics and Space Science, 349(2014), 317-327.
30. Shuai-Shuai Fan, Bing-Zhao Li, Tian-Zhou Xu, A two-channel perfect reconstruction filter bank associated with the linear canonical transform, International Journal of Electronics Letters, 2(2014), 72-82.
31. Gang-Wei Wang, Tian-Zhou Xu, Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation, Boundary Value Problems, 2013(2013), 232, 1-13.
32. Gang-Wei Wang, Tian-Zhou Xu, Group analysis and new explicit solutions of simplified modified Kawahara equation with variable coefficients, Abstract and Applied Analysis, 2013(2013), 139160, 1-8.
33. Tian-Zhou Xu, Approximate multi-Jensen, multi-Euler-Lagrange additive and quadratic mappings in n-Banach spaces, Abstract and Applied Analysis, 2013(2013), 648709, 1-12.
34. Tian-Zhou Xu, On the Mazur-Ulam Theorem in Non-Archimedean Fuzzy n-Normed Spaces, ISRN Mathematical Analysis, 2013(2013), 814067, 1-7.
35. Krzysztof Cieplinski, Tian-Zhou Xu, Approximate multi-Jensen and multi-quadratic mappings in 2-Banach spaces, Carpathian Journal of Mathematics, 29(2013), 159–166.
36. Tian-Zhou Xu, John Michael Rassias, Approximate septic and octic mappings in quasi-β-normed spaces, Journal of Computational Analysis and Applications, 15(2013), 1110-1119.
37. Tian-Zhou Xu, Matina John Rassias, Wan Xin Xu, and John Michael Rassias, A fixed point approach to the intuitionistic fuzzy stability of quintic and sextic functional equations, Iranian Journal of Fuzzy Systems, 9(2012), 21-40.
38. Tian-Zhou Xu, On the stability of multi-Jensen mappings in β-normed spaces, Applied Mathematics Letters, 25(11)(2012), 1866-1870.
39. Tian-Zhou Xu, Stability of multi-Jensen mappings in non-Archimedean normed spaces, Journal of Mathematical Physics, 53(2012), 023507, 1-9.
40. Tian-Zhou Xu, John Michael Rassias, A fixed point approach to the Hyers-Ulam stability of an AQ functional equation on β-Banach modules, Journal of Inequalities and Applications, 2012(2012), 204, 1-18.
41. Tian-Zhou Xu, John Michael Rassias, On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in n-Banach spaces, Abstract and Applied Analysis, 2012(2012), 926390, 1-23.
42. Tian-Zhou Xu, John Michael Rassias, A fixed point approach to the stability of an AQ-functional equation on β-Banach modules, Fixed Point Theory and Applications, 2012(2012), 32, 1-14.
43. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces, Acta Mathematica Sinica-English Series, 28(2012), 529–560.
44. Tian-Zhou Xu, John Michael Rassias, Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces, Advances in Difference Equations, 2012(2012), 119, 1-19.
45. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Stability of a general mixed additive-cubic equation in F-spaces, Journal of Computational Analysis and Applications, 14(2012), 1026-1037.
46. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A generalized mixed quadratic-quartic functional equation, Bulletin of the Malaysian Mathematical Sciences Society, 35(2012), 633–649.
47. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A fixed point approach to the stability of a general mixed additive-cubic equation on Banach modules, Acta Mathematica Scientia, 32B(3)(2012), 866-892.
48. Cui-Ping Li, Bing-Zhao Li, Tian-Zhou Xu, Approximating bandlimited signals associated with the LCT domain from nonuniform samples at unknown locations, Signal Processing, 92(7)(2012), 1658-1664.
49. Tian-Wen Che, Bing-Zhao Li, Tian-Zhou Xu, The ambiguity function associated with the linear canonical transform, EURASIP Journal on Advances in Signal Processing, 2012 (2012), 138, 1-14.
50. Bing-Zhao Li, Tian-Zhou Xu, Spectral analysis of sampled signals in the linear canonical transform domain, Mathematical Problems in Engineering, 2012(2012), 536464, 1-19..
51. Bing-Zhao Li, Tian-Zhou Xu, Sampling in the linear canonical transform domain, Mathematical Problems in Engineering, 2012(2012), 504580, 1-13.
52. Bing-Zhao Li, Tian-Zhou Xu, Parseval relationship of Samples in the fractional Fourier transform domain, Journal of Applied Mathematics, 2012(2012), 428142, 1-11.
53. Tian-Zhou Xu, Completely dissipative maps and Stinespring’s dilation-type theorem on σ-C*-algebras, Abstract and Applied Analysis, 2011(2011), 702989, 1-13.
54. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A generalized mixed type of quartic-cubic-quadratic-additive functional equations, Ukrainian Mathematical Journal, 63(2011), 461-479.
55. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A generalized mixed additive-cubic functional equation, Journal of Computational Analysis and Applications, 13(2011), 1273-1282.
56. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A fixed point approach to the stability of a general mixed additive-cubic functional equation in quasi fuzzy normed spaces, International Journal of the Physical Sciences, 6(2)(2011), 313-324.
57. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Stability of a general mixed additive-cubic functional equation in non-Archimedean fuzzy normed spaces, Journal of Mathematical Physics, 51(2010), 093508, 1-19.
58. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Intuitionistic fuzzy stability of a general mixed additive-cubic equation, Journal of Mathematical Physics, 51(2010), 06351, 1-21.
59. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, On the stability of a general mixed additive-cubic functional equation in random normed spaces, Journal of Inequalities and Applications, 2010(2010), 328473, 1-16.
60. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces, Discrete Dynamics in Nature and Society, 2010(2010), 812545, 1-24.
61. Tian-Zhou Xu, John Michael Rassias, Wanxin Xu, Generalized Ulam-Hyers stability of a general mixed AQCQ-functional equation in multi-Banach spaces: a fixed point approach, Eurpean Journal of Pure and Applied Mathematics, 3(6)(2010), 1032-1047.
62. Tian-Zhou Xu, John Michael Rassias, Matina John Rassias, Wanxin Xu, A fixed point approach to the stability of quintic and sextic functional equations in quasi-b-normed spaces, Journal of Inequalities and Applications, 2010(2010), 423231, 1-23.
63. Bing-Zhao Li, Ran Tao, Tian-Zhou Xu, Yue Wang, The Poisson sum formulae associated with the fractional Fourier transform, Signal Processing, 89(2009), 851-856.
64. Tian-Zhou Xu, Covariant projective representation for covariant completely multi-positive linear maps, Acta Mathematica Sinica Chinese Series, 51(2)(2008), 357-364.
65. Tian-Zhou Xu, Qinglin Zheng, Peichao Duan, Bing-Zhao Li, Completely positive maps and Stinespring’s dilation theorem over σ-C*-algebras, Journal of System Science and Mathematical Science Chinese Series, 24(2004), 169-178.
66. Tian-Zhou Xu, Covariant completely positive maps, Indian Journal of Pure and Applied Mathematics, 34(2003), 1131-1140.
67. Tian-Zhou Xu, Peichao Duan, Qinglin Zheng, Completely positive definite maps on σ-C*-algebras, Advances in Mathematics(China), 32(2003), 241-242.
68. Tian-Zhou Xu, Bing-Zhao Li, Yugeng Zhao, Amenability and nuclearity for Pro-C*-algebras, Advances in Mathematics(China), 32(3)(2003), 334-340.
69. Tian-Zhou Xu, Jie Liang, Covariant projective extensions, Advances in Mathematics(China), 32(4)(2003), 506-508.
70. Tian-Zhou Xu, Positive maps over σ-C*-algebras, Journal of System Science and Mathematical Science Chinese Series, 21(2001), 1-8.
71. Tian-Zhou Xu, The weak topology for SG-primitive ideals, Publicationes Math. Debrecen, 52(1998), 103-119.
72. Tian-Zhou Xu, Modules over operator algebras and its module maps, Indian Journal of Pure and Applied Mathematics, 28(1997), 877-886.
73. Tian-Zhou Xu, Nonstable representable K-theory for σ-C*-algebras, Publicationes Math. Debrecen, 51(1997), 225-240.