Liang, Xiao; Bhatt, Harish Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation. (English) Zbl 1448.65186 Adv. Difference Equ. 2018, Paper No. 476, 17 p. (2018). MSC: 65M70 65M12 35Q55 PDFBibTeX XMLCite \textit{X. Liang} and \textit{H. Bhatt}, Adv. Difference Equ. 2018, Paper No. 476, 17 p. (2018; Zbl 1448.65186) Full Text: DOI
Gai, Guanming; Liu, Qiang; Na, Yang; Zhou, Mingjun Fujita-type theorems for a class of coupled semilinear parabolic systems with gradient terms. (English) Zbl 1448.35306 Adv. Difference Equ. 2018, Paper No. 467, 13 p. (2018). MSC: 35K58 35B33 35K20 PDFBibTeX XMLCite \textit{G. Gai} et al., Adv. Difference Equ. 2018, Paper No. 467, 13 p. (2018; Zbl 1448.35306) Full Text: DOI
Yang, Bin; Cai, Yongli; Wang, Kai; Wang, Weiming Global threshold dynamics of a stochastic epidemic model incorporating media coverage. (English) Zbl 1448.92360 Adv. Difference Equ. 2018, Paper No. 462, 14 p. (2018). MSC: 92D30 35Q84 60H10 93E15 37N25 PDFBibTeX XMLCite \textit{B. Yang} et al., Adv. Difference Equ. 2018, Paper No. 462, 14 p. (2018; Zbl 1448.92360) Full Text: DOI
Javeed, Shumaila; Saif, Summaya; Baleanu, Dumitru New exact solutions of fractional Cahn-Allen equation and fractional DSW system. (English) Zbl 1448.35548 Adv. Difference Equ. 2018, Paper No. 459, 15 p. (2018). MSC: 35R11 26A33 34A08 PDFBibTeX XMLCite \textit{S. Javeed} et al., Adv. Difference Equ. 2018, Paper No. 459, 15 p. (2018; Zbl 1448.35548) Full Text: DOI
Liu, Yanqin; Yin, Xiuling; Feng, Libo; Sun, Hongguang Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model. (English) Zbl 1448.65131 Adv. Difference Equ. 2018, Paper No. 442, 16 p. (2018). MSC: 65M12 65M06 35R11 76A10 PDFBibTeX XMLCite \textit{Y. Liu} et al., Adv. Difference Equ. 2018, Paper No. 442, 16 p. (2018; Zbl 1448.65131) Full Text: DOI
Rao, Ruofeng; Zhong, Shouming Boundedness and robust analysis of dynamics of nonlinear diffusion high-order Markovian jump time-delay system. (English) Zbl 1448.60169 Adv. Difference Equ. 2018, Paper No. 434, 29 p. (2018). MSC: 60J74 92B20 93D05 35K57 PDFBibTeX XMLCite \textit{R. Rao} and \textit{S. Zhong}, Adv. Difference Equ. 2018, Paper No. 434, 29 p. (2018; Zbl 1448.60169) Full Text: DOI
Abu Irwaq, Issam; Alquran, Marwan; Jaradat, Imad; Baleanu, Dumitru New dual-mode Kadomtsev-Petviashvili model with strong-weak surface tension: analysis and application. (English) Zbl 1448.35429 Adv. Difference Equ. 2018, Paper No. 433, 7 p. (2018). MSC: 35Q51 35C08 35Q35 74J35 PDFBibTeX XMLCite \textit{I. Abu Irwaq} et al., Adv. Difference Equ. 2018, Paper No. 433, 7 p. (2018; Zbl 1448.35429) Full Text: DOI
Bak, Soyoon; Kim, Philsu; Piao, Xiangfan; Bu, Sunyoung Numerical solution of advection-diffusion type equation by modified error correction scheme. (English) Zbl 1448.65089 Adv. Difference Equ. 2018, Paper No. 432, 14 p. (2018). MSC: 65M06 65M12 65M70 76D05 35K57 PDFBibTeX XMLCite \textit{S. Bak} et al., Adv. Difference Equ. 2018, Paper No. 432, 14 p. (2018; Zbl 1448.65089) Full Text: DOI
Buranay, Suzan C.; Farinola, Lawrence A. Implicit methods for the first derivative of the solution to heat equation. (English) Zbl 1448.65093 Adv. Difference Equ. 2018, Paper No. 430, 21 p. (2018). MSC: 65M06 65M12 65M22 35K05 PDFBibTeX XMLCite \textit{S. C. Buranay} and \textit{L. A. Farinola}, Adv. Difference Equ. 2018, Paper No. 430, 21 p. (2018; Zbl 1448.65093) Full Text: DOI
Li, Ming Zhu; Chen, Li Juan; Xu, Qiang; Ding, Xiao Hua An efficient numerical algorithm for solving the two-dimensional fractional cable equation. (English) Zbl 1448.65109 Adv. Difference Equ. 2018, Paper No. 424, 18 p. (2018). MSC: 65M06 65M12 65M70 35R11 26A33 PDFBibTeX XMLCite \textit{M. Z. Li} et al., Adv. Difference Equ. 2018, Paper No. 424, 18 p. (2018; Zbl 1448.65109) Full Text: DOI
Guo, Fei Breaking and permanent waves for the periodic \(\mu\)-Degasperis-Procesi equation with linear dispersion. (English) Zbl 1448.35052 Adv. Difference Equ. 2018, Paper No. 422, 16 p. (2018). MSC: 35B44 35Q51 37K40 76B15 PDFBibTeX XMLCite \textit{F. Guo}, Adv. Difference Equ. 2018, Paper No. 422, 16 p. (2018; Zbl 1448.35052) Full Text: DOI
Al-Jararha, M. Global attractivity in a non-monotone age-structured model with age-dependent diffusion and death rates. (English) Zbl 1448.37115 Adv. Difference Equ. 2018, Paper No. 419, 12 p. (2018). MSC: 37N25 34K10 35K55 35B35 92D25 PDFBibTeX XMLCite \textit{M. Al-Jararha}, Adv. Difference Equ. 2018, Paper No. 419, 12 p. (2018; Zbl 1448.37115) Full Text: DOI arXiv
Adel, M. Finite difference approach for variable order reaction-subdiffusion equations. (English) Zbl 1448.65199 Adv. Difference Equ. 2018, Paper No. 406, 12 p. (2018). MSC: 65N12 65M60 41A30 35K57 PDFBibTeX XMLCite \textit{M. Adel}, Adv. Difference Equ. 2018, Paper No. 406, 12 p. (2018; Zbl 1448.65199) Full Text: DOI
Wang, Junjie Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations. (English) Zbl 1448.65188 Adv. Difference Equ. 2018, Paper No. 405, 19 p. (2018). MSC: 65M70 65M12 65M15 35Q53 35Q55 PDFBibTeX XMLCite \textit{J. Wang}, Adv. Difference Equ. 2018, Paper No. 405, 19 p. (2018; Zbl 1448.65188) Full Text: DOI
Lu, Junliang New exact solutions for Kudryashov-Sinelshchikov equation. (English) Zbl 1448.35069 Adv. Difference Equ. 2018, Paper No. 374, 17 p. (2018). MSC: 35C05 35C07 35A09 35A30 PDFBibTeX XMLCite \textit{J. Lu}, Adv. Difference Equ. 2018, Paper No. 374, 17 p. (2018; Zbl 1448.35069) Full Text: DOI
Yin, Xiucao; Fang, Shaomei; Guo, Changhong Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation. (English) Zbl 1448.65125 Adv. Difference Equ. 2018, Paper No. 389, 17 p. (2018). MSC: 65M06 35R11 65M12 26A33 82C31 PDFBibTeX XMLCite \textit{X. Yin} et al., Adv. Difference Equ. 2018, Paper No. 389, 17 p. (2018; Zbl 1448.65125) Full Text: DOI
Lastra, Alberto; Malek, Stephane On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms. (English) Zbl 1448.41027 Adv. Difference Equ. 2018, Paper No. 386, 40 p. (2018). MSC: 41A58 44A05 44A10 35R10 35C10 35C15 35C20 35R11 PDFBibTeX XMLCite \textit{A. Lastra} and \textit{S. Malek}, Adv. Difference Equ. 2018, Paper No. 386, 40 p. (2018; Zbl 1448.41027) Full Text: DOI arXiv
Xiao, Qizhen; Liu, Hongliang; Ouyang, Zigen Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity. (English) Zbl 1448.35232 Adv. Difference Equ. 2018, Paper No. 384, 18 p. (2018). MSC: 35J65 35J60 35J20 PDFBibTeX XMLCite \textit{Q. Xiao} et al., Adv. Difference Equ. 2018, Paper No. 384, 18 p. (2018; Zbl 1448.35232) Full Text: DOI
Shi, Qihong; Chang, Suqin; Zhang, Xiaobing; Cao, Jianxiong Solutions induced from bright solitons for nucleon-meson model. (English) Zbl 1448.35480 Adv. Difference Equ. 2018, Paper No. 363, 9 p. (2018). MSC: 35Q55 81Q05 35Q40 37K40 PDFBibTeX XMLCite \textit{Q. Shi} et al., Adv. Difference Equ. 2018, Paper No. 363, 9 p. (2018; Zbl 1448.35480) Full Text: DOI
Al-Shawba, Altaf A.; Abdullah, Farah A.; Gepreel, Khaled A.; Azmi, Amirah Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method. (English) Zbl 1448.35537 Adv. Difference Equ. 2018, Paper No. 362, 15 p. (2018). MSC: 35R11 26A33 35Q53 PDFBibTeX XMLCite \textit{A. A. Al-Shawba} et al., Adv. Difference Equ. 2018, Paper No. 362, 15 p. (2018; Zbl 1448.35537) Full Text: DOI
Chen, Jianhua; Ge, Yongbin High order locally one-dimensional methods for solving two-dimensional parabolic equations. (English) Zbl 1448.65094 Adv. Difference Equ. 2018, Paper No. 361, 17 p. (2018). MSC: 65M06 65M12 35K05 65M15 35K20 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Y. Ge}, Adv. Difference Equ. 2018, Paper No. 361, 17 p. (2018; Zbl 1448.65094) Full Text: DOI
Zhang, Jing; Zhang, Zhongyi Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity. (English) Zbl 1448.35203 Adv. Difference Equ. 2018, Paper No. 359, 8 p. (2018). MSC: 35J60 35B33 35B38 35B09 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Z. Zhang}, Adv. Difference Equ. 2018, Paper No. 359, 8 p. (2018; Zbl 1448.35203) Full Text: DOI
Hu, Jiahui; Wang, Jungang; Nie, Yufeng Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term. (English) Zbl 1448.65130 Adv. Difference Equ. 2018, Paper No. 352, 30 p. (2018). MSC: 65M12 65M06 65M70 35R11 26A33 PDFBibTeX XMLCite \textit{J. Hu} et al., Adv. Difference Equ. 2018, Paper No. 352, 30 p. (2018; Zbl 1448.65130) Full Text: DOI
Shen, Xue; Zhu, Ailing A Crank-Nicolson linear difference scheme for a BBM equation with a time fractional nonlocal viscous term. (English) Zbl 1448.65118 Adv. Difference Equ. 2018, Paper No. 351, 12 p. (2018). MSC: 65M06 35R11 35Q51 65M12 PDFBibTeX XMLCite \textit{X. Shen} and \textit{A. Zhu}, Adv. Difference Equ. 2018, Paper No. 351, 12 p. (2018; Zbl 1448.65118) Full Text: DOI
Zhao, Yulin; Shi, Xiaoyan; Chen, Haibo Multiplicity results for a class of fractional differential equations with impulse. (English) Zbl 1448.34032 Adv. Difference Equ. 2018, Paper No. 341, 9 p. (2018). MSC: 34A08 26A33 35A15 58E05 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Adv. Difference Equ. 2018, Paper No. 341, 9 p. (2018; Zbl 1448.34032) Full Text: DOI
Zhong, Penghong; Zhang, Chao; Wu, Fengong Energy decay rate of multidimensional inhomogeneous Landau-Lifshitz-Gilbert equation and Schrödinger map equation on the sphere. (English) Zbl 1448.35490 Adv. Difference Equ. 2018, Paper No. 335, 25 p. (2018). MSC: 35Q56 35B44 PDFBibTeX XMLCite \textit{P. Zhong} et al., Adv. Difference Equ. 2018, Paper No. 335, 25 p. (2018; Zbl 1448.35490) Full Text: DOI
Ali, Asghar; Seadawy, Aly R.; Lu, Dianchen Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods. (English) Zbl 1448.35430 Adv. Difference Equ. 2018, Paper No. 334, 20 p. (2018). MSC: 35Q51 35C08 37K40 PDFBibTeX XMLCite \textit{A. Ali} et al., Adv. Difference Equ. 2018, Paper No. 334, 20 p. (2018; Zbl 1448.35430) Full Text: DOI
Modanlı, Mahmut Two numerical methods for fractional partial differential equation with nonlocal boundary value problem. (English) Zbl 1448.65114 Adv. Difference Equ. 2018, Paper No. 333, 19 p. (2018). MSC: 65M06 35R11 65M12 65R20 26A33 PDFBibTeX XMLCite \textit{M. Modanlı}, Adv. Difference Equ. 2018, Paper No. 333, 19 p. (2018; Zbl 1448.65114) Full Text: DOI
Cheng, Yi; Gao, Shanshan; Wu, Yuhu Exact controllability of fractional order evolution equations in Banach spaces. (English) Zbl 1448.93024 Adv. Difference Equ. 2018, Paper No. 332, 16 p. (2018). MSC: 93B05 26A33 34A08 35R11 34K37 PDFBibTeX XMLCite \textit{Y. Cheng} et al., Adv. Difference Equ. 2018, Paper No. 332, 16 p. (2018; Zbl 1448.93024) Full Text: DOI
Abbas, Saïd; Benchohra, Mouffak; Hamidi, Naima; Zhou, Yong Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies. (English) Zbl 1448.34003 Adv. Difference Equ. 2018, Paper No. 328, 17 p. (2018). MSC: 34A08 26A33 35R11 34G20 PDFBibTeX XMLCite \textit{S. Abbas} et al., Adv. Difference Equ. 2018, Paper No. 328, 17 p. (2018; Zbl 1448.34003) Full Text: DOI
Zhang, Lihua; Xu, Fengsheng Conservation laws, symmetry reductions, and exact solutions of some Keller-Segel models. (English) Zbl 1448.35020 Adv. Difference Equ. 2018, Paper No. 327, 16 p. (2018). MSC: 35B06 76M60 35L65 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{F. Xu}, Adv. Difference Equ. 2018, Paper No. 327, 16 p. (2018; Zbl 1448.35020) Full Text: DOI
Kılıçman, Adem; Silambarasan, Rathinavel Computing new solutions of algebro-geometric equation using the discrete inverse Sumudu transform. (English) Zbl 1448.44001 Adv. Difference Equ. 2018, Paper No. 323, 17 p. (2018). MSC: 44A05 44A55 35Q51 37K20 37K15 PDFBibTeX XMLCite \textit{A. Kılıçman} and \textit{R. Silambarasan}, Adv. Difference Equ. 2018, Paper No. 323, 17 p. (2018; Zbl 1448.44001) Full Text: DOI
Yusuf, Abdullahi; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation. (English) Zbl 1448.35019 Adv. Difference Equ. 2018, Paper No. 319, 11 p. (2018). MSC: 35B06 35Q53 26A33 35C08 35R11 PDFBibTeX XMLCite \textit{A. Yusuf} et al., Adv. Difference Equ. 2018, Paper No. 319, 11 p. (2018; Zbl 1448.35019) Full Text: DOI
Li, Mingzhu; Ding, Xiaohua; Xu, Qiang Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation. (English) Zbl 1448.65187 Adv. Difference Equ. 2018, Paper No. 318, 15 p. (2018). MSC: 65M70 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{M. Li} et al., Adv. Difference Equ. 2018, Paper No. 318, 15 p. (2018; Zbl 1448.65187) Full Text: DOI
Sultana, Talat; Khan, Arshad; Khandelwal, Pooja A new non-polynomial spline method for solution of linear and non-linear third order dispersive equations. (English) Zbl 1448.65016 Adv. Difference Equ. 2018, Paper No. 316, 14 p. (2018). MSC: 65D07 65M12 35Q53 PDFBibTeX XMLCite \textit{T. Sultana} et al., Adv. Difference Equ. 2018, Paper No. 316, 14 p. (2018; Zbl 1448.65016) Full Text: DOI
Alvarez, Edgardo; Castro, Tovias; Moreno, John Strongly damped wave equations with Stepanov type nonlinear forcing term. (English) Zbl 1448.43001 Adv. Difference Equ. 2018, Paper No. 311, 15 p. (2018). MSC: 43A60 35L05 PDFBibTeX XMLCite \textit{E. Alvarez} et al., Adv. Difference Equ. 2018, Paper No. 311, 15 p. (2018; Zbl 1448.43001) Full Text: DOI
Zhang, Qian; Weng, Zhifeng; Ji, Haifeng; Zhang, Bin Error estimates for an augmented method for one-dimensional elliptic interface problems. (English) Zbl 1448.65203 Adv. Difference Equ. 2018, Paper No. 307, 16 p. (2018). MSC: 65N15 65N30 35J60 82B24 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 307, 16 p. (2018; Zbl 1448.65203) Full Text: DOI
Kamran; Uddin, Marjan; Ali, Amjad On the approximation of time-fractional telegraph equations using localized kernel-based method. (English) Zbl 1448.65183 Adv. Difference Equ. 2018, Paper No. 305, 14 p. (2018). MSC: 65M70 35R11 26A33 44A10 PDFBibTeX XMLCite \textit{Kamran} et al., Adv. Difference Equ. 2018, Paper No. 305, 14 p. (2018; Zbl 1448.65183) Full Text: DOI
Zhang, Ning; Xia, Tiecheng; Jin, QiuYan \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. (English) Zbl 1448.37086 Adv. Difference Equ. 2018, Paper No. 302, 10 p. (2018). MSC: 37K35 37K10 35Q51 PDFBibTeX XMLCite \textit{N. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 302, 10 p. (2018; Zbl 1448.37086) Full Text: DOI
Tao, Mengshuang; Zhang, Ning; Gao, Dezhi; Yang, Hongwei Symmetry analysis for three-dimensional dissipation Rossby waves. (English) Zbl 1448.37114 Adv. Difference Equ. 2018, Paper No. 300, 10 p. (2018). MSC: 37N10 35B06 PDFBibTeX XMLCite \textit{M. Tao} et al., Adv. Difference Equ. 2018, Paper No. 300, 10 p. (2018; Zbl 1448.37114) Full Text: DOI
Liu, Nan; Wen, Xiao-Yong; Xu, Ling Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves. (English) Zbl 1448.37085 Adv. Difference Equ. 2018, Paper No. 289, 30 p. (2018). MSC: 37K35 35Q51 37K10 37K40 PDFBibTeX XMLCite \textit{N. Liu} et al., Adv. Difference Equ. 2018, Paper No. 289, 30 p. (2018; Zbl 1448.37085) Full Text: DOI
Wu, Lifei; Yang, Xiaozhong; Cao, Yanhua An alternating segment Crank-Nicolson parallel difference scheme for the time fractional sub-diffusion equation. (English) Zbl 1448.65124 Adv. Difference Equ. 2018, Paper No. 287, 18 p. (2018). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{L. Wu} et al., Adv. Difference Equ. 2018, Paper No. 287, 18 p. (2018; Zbl 1448.65124) Full Text: DOI
Eskar, Rena; Huang, Pengzhan; Feng, Xinlong A new high-order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation. (English) Zbl 1455.65128 Adv. Difference Equ. 2018, Paper No. 286, 15 p. (2018). MSC: 65M06 35Q55 65M12 PDFBibTeX XMLCite \textit{R. Eskar} et al., Adv. Difference Equ. 2018, Paper No. 286, 15 p. (2018; Zbl 1455.65128) Full Text: DOI
Baleanu, Dumitru; Agheli, Bahram; Darzi, Rahmat An optimal method for approximating the delay differential equations of noninteger order. (English) Zbl 1446.35012 Adv. Difference Equ. 2018, Paper No. 284, 15 p. (2018). MSC: 35A35 35R11 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2018, Paper No. 284, 15 p. (2018; Zbl 1446.35012) Full Text: DOI
Li, Yue; Yang, Xiaozhong; Sun, Shuzhen A class of intrinsic parallel difference methods for time-space fractional Black-Scholes equation. (English) Zbl 1446.65093 Adv. Difference Equ. 2018, Paper No. 280, 19 p. (2018). MSC: 65M12 65M06 35R11 PDFBibTeX XMLCite \textit{Y. Li} et al., Adv. Difference Equ. 2018, Paper No. 280, 19 p. (2018; Zbl 1446.65093) Full Text: DOI
Pan, Shuxia; Shi, Hong-Bo Minimal wave speed of competitive lattice dynamical systems with delays. (English) Zbl 1446.37065 Adv. Difference Equ. 2018, Paper No. 279, 14 p. (2018). MSC: 37L60 35C07 PDFBibTeX XMLCite \textit{S. Pan} and \textit{H.-B. Shi}, Adv. Difference Equ. 2018, Paper No. 279, 14 p. (2018; Zbl 1446.37065) Full Text: DOI
Li, Zhao; Li, Shuyong Convergence and stability of stochastic parabolic functional differential equations. (English) Zbl 1446.60046 Adv. Difference Equ. 2018, Paper No. 275, 12 p. (2018). MSC: 60H15 35R60 35B35 35B40 PDFBibTeX XMLCite \textit{Z. Li} and \textit{S. Li}, Adv. Difference Equ. 2018, Paper No. 275, 12 p. (2018; Zbl 1446.60046) Full Text: DOI
Zhang, Rongpei; Wang, Zhen; Liu, Jia; Liu, Luoman A compact finite difference method for reaction-diffusion problems using compact integration factor methods in high spatial dimensions. (English) Zbl 1446.65085 Adv. Difference Equ. 2018, Paper No. 274, 12 p. (2018). MSC: 65M06 35K57 65M12 65M20 65M60 PDFBibTeX XMLCite \textit{R. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 274, 12 p. (2018; Zbl 1446.65085) Full Text: DOI
Guliyev, Vagif S.; Akbulut, Ali; Namazov, Faiq M. Morrey-type estimates for commutator of fractional integral associated with Schrödinger operators on the Heisenberg group. (English) Zbl 1446.35240 Adv. Difference Equ. 2018, Paper No. 273, 14 p. (2018). MSC: 35R03 35J10 42B35 PDFBibTeX XMLCite \textit{V. S. Guliyev} et al., Adv. Difference Equ. 2018, Paper No. 273, 14 p. (2018; Zbl 1446.35240) Full Text: DOI
Zhou, Huijuan; Li, Chuanzhong; Li, Xinyue; Li, Fushan Nonlocal symmetries of Frobenius sinh-Gordon systems. (English) Zbl 1446.37063 Adv. Difference Equ. 2018, Paper No. 271, 7 p. (2018). MSC: 37K35 37K30 35Q51 PDFBibTeX XMLCite \textit{H. Zhou} et al., Adv. Difference Equ. 2018, Paper No. 271, 7 p. (2018; Zbl 1446.37063) Full Text: DOI
Liu, Songshu; Feng, Lixin Optimal error bound and modified kernel method for a space-fractional backward diffusion problem. (English) Zbl 1446.35251 Adv. Difference Equ. 2018, Paper No. 268, 16 p. (2018). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{S. Liu} and \textit{L. Feng}, Adv. Difference Equ. 2018, Paper No. 268, 16 p. (2018; Zbl 1446.35251) Full Text: DOI
Lu, Dianchen; Seadawy, Aly R.; Khater, Mostafa M. A. Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system. (English) Zbl 1446.35165 Adv. Difference Equ. 2018, Paper No. 266, 18 p. (2018). MSC: 35Q51 35C07 35C08 PDFBibTeX XMLCite \textit{D. Lu} et al., Adv. Difference Equ. 2018, Paper No. 266, 18 p. (2018; Zbl 1446.35165) Full Text: DOI
Wang, Guodong; Liu, Jia-Bao; Zhao, Lin; Hu, Mingjun The delta-shock wave for the two variables of a class of Temple system. (English) Zbl 1445.35246 Adv. Difference Equ. 2018, Paper No. 250, 15 p. (2018). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L67 35B35 PDFBibTeX XMLCite \textit{G. Wang} et al., Adv. Difference Equ. 2018, Paper No. 250, 15 p. (2018; Zbl 1445.35246) Full Text: DOI
Agarwal, P.; Chand, M.; Baleanu, D.; O’Regan, D.; Jain, Shilpi On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function. (English) Zbl 1446.35243 Adv. Difference Equ. 2018, Paper No. 249, 13 p. (2018). MSC: 35R11 26A33 33E12 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Adv. Difference Equ. 2018, Paper No. 249, 13 p. (2018; Zbl 1446.35243) Full Text: DOI
Wang, Jinliang; Li, You; Hou, Xiaojie Supercritical Hopf bifurcation and Turing patterns for an activator and inhibitor model with different sources. (English) Zbl 1446.35021 Adv. Difference Equ. 2018, Paper No. 241, 23 p. (2018). MSC: 35B36 35K57 35B32 35B35 35B10 PDFBibTeX XMLCite \textit{J. Wang} et al., Adv. Difference Equ. 2018, Paper No. 241, 23 p. (2018; Zbl 1446.35021) Full Text: DOI
Xing, Zhiyong; Wen, Liping A conservative difference scheme for the Riesz space-fractional sine-Gordon equation. (English) Zbl 1446.65094 Adv. Difference Equ. 2018, Paper No. 238, 22 p. (2018). MSC: 65M12 65M06 35R11 35Q51 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{L. Wen}, Adv. Difference Equ. 2018, Paper No. 238, 22 p. (2018; Zbl 1446.65094) Full Text: DOI
Li, Lingyu; Jiang, Ziwen; Yin, Zhe Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation. (English) Zbl 1446.65142 Adv. Difference Equ. 2018, Paper No. 234, 24 p. (2018). MSC: 65N06 65N15 65N22 35K57 PDFBibTeX XMLCite \textit{L. Li} et al., Adv. Difference Equ. 2018, Paper No. 234, 24 p. (2018; Zbl 1446.65142) Full Text: DOI
Ali, Asghar; Seadawy, Aly R.; Lu, Dianchen New solitary wave solutions of some nonlinear models and their applications. (English) Zbl 1446.35160 Adv. Difference Equ. 2018, Paper No. 232, 12 p. (2018). MSC: 35Q51 37K40 35C08 PDFBibTeX XMLCite \textit{A. Ali} et al., Adv. Difference Equ. 2018, Paper No. 232, 12 p. (2018; Zbl 1446.35160) Full Text: DOI
Zhou, Liping; Yu, Haiyuan Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions. (English) Zbl 1446.65144 Adv. Difference Equ. 2018, Paper No. 225, 11 p. (2018). MSC: 65N06 35J25 35J05 65N12 65N35 PDFBibTeX XMLCite \textit{L. Zhou} and \textit{H. Yu}, Adv. Difference Equ. 2018, Paper No. 225, 11 p. (2018; Zbl 1446.65144) Full Text: DOI
Zhou, Yanjie; Luo, Zhendong A Crank-Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation. (English) Zbl 1446.65086 Adv. Difference Equ. 2018, Paper No. 216, 7 p. (2018). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{Z. Luo}, Adv. Difference Equ. 2018, Paper No. 216, 7 p. (2018; Zbl 1446.65086) Full Text: DOI
Zhang, Yanpeng; Yang, Xiaoyuan; Li, Xiaocui Error estimates of finite element methods for nonlinear fractional stochastic differential equations. (English) Zbl 1446.65123 Adv. Difference Equ. 2018, Paper No. 215, 20 p. (2018). MSC: 65M60 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 215, 20 p. (2018; Zbl 1446.65123) Full Text: DOI
Aliyev, Samed J.; Aliyeva, Arzu G.; Abdullayeva, Goncha Z. The study of a mixed problem for one class of third order differential equations. (English) Zbl 1446.35078 Adv. Difference Equ. 2018, Paper No. 208, 10 p. (2018). MSC: 35L75 35L82 35L05 35L70 35G10 PDFBibTeX XMLCite \textit{S. J. Aliyev} et al., Adv. Difference Equ. 2018, Paper No. 208, 10 p. (2018; Zbl 1446.35078) Full Text: DOI
Jian, Huan-Yan; Huang, Ting-Zhu; Zhao, Xi-Le; Zhao, Yong-Liang A fast implicit difference scheme for a new class of time distributed-order and space fractional diffusion equations with variable coefficients. (English) Zbl 1446.65068 Adv. Difference Equ. 2018, Paper No. 205, 24 p. (2018). MSC: 65M06 65F10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{H.-Y. Jian} et al., Adv. Difference Equ. 2018, Paper No. 205, 24 p. (2018; Zbl 1446.65068) Full Text: DOI
Meng, Yanling; Zhang, Weiguo; Yu, Zhixian Existence and asymptotic of traveling wave fronts for the delayed Volterra-type cooperative system with spatial diffusion. (English) Zbl 1446.35031 Adv. Difference Equ. 2018, Paper No. 203, 19 p. (2018). MSC: 35C07 92D25 35B35 PDFBibTeX XMLCite \textit{Y. Meng} et al., Adv. Difference Equ. 2018, Paper No. 203, 19 p. (2018; Zbl 1446.35031) Full Text: DOI
Feng, Xiaozhou; Sun, Suping; Zhang, Tongqian; An, Xiaomin The effect of parameters on positive solutions and asymptotic behavior of an unstirred chemostat model with B-D functional response. (English) Zbl 1446.35054 Adv. Difference Equ. 2018, Paper No. 181, 23 p. (2018). MSC: 35K57 35J57 35K51 PDFBibTeX XMLCite \textit{X. Feng} et al., Adv. Difference Equ. 2018, Paper No. 181, 23 p. (2018; Zbl 1446.35054) Full Text: DOI
Li, Ming; Zheng, Zhoushun; Pan, Kejia An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection-diffusion equations. (English) Zbl 1446.65102 Adv. Difference Equ. 2018, Paper No. 178, 14 p. (2018). MSC: 65M55 35K57 PDFBibTeX XMLCite \textit{M. Li} et al., Adv. Difference Equ. 2018, Paper No. 178, 14 p. (2018; Zbl 1446.65102) Full Text: DOI
Zhang, Luyu; Ma, Shiwang Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities. (English) Zbl 1446.39011 Adv. Difference Equ. 2018, Paper No. 176, 13 p. (2018). MSC: 39A14 35Q55 39A12 39A70 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{S. Ma}, Adv. Difference Equ. 2018, Paper No. 176, 13 p. (2018; Zbl 1446.39011) Full Text: DOI
Huang, Tousheng; Cong, Xuebing; Zhang, Huayong; Ma, Shengnan; Pan, Ge Pattern self-organization and pattern transition on the route to chaos in a spatiotemporal discrete predator-prey system. (English) Zbl 1446.92223 Adv. Difference Equ. 2018, Paper No. 175, 21 p. (2018). MSC: 92D25 35Q92 PDFBibTeX XMLCite \textit{T. Huang} et al., Adv. Difference Equ. 2018, Paper No. 175, 21 p. (2018; Zbl 1446.92223) Full Text: DOI
Wang, Qinghe; Pan, Kejia; Hu, Hongling Unique solvability of the CCD scheme for convection-diffusion equations with variable convection coefficients. (English) Zbl 1446.65079 Adv. Difference Equ. 2018, Paper No. 163, 9 p. (2018). MSC: 65M06 65M32 35K57 PDFBibTeX XMLCite \textit{Q. Wang} et al., Adv. Difference Equ. 2018, Paper No. 163, 9 p. (2018; Zbl 1446.65079) Full Text: DOI
Yan, Rui; Li, Xiaocui Entire solutions for a reaction-diffusion equation with doubly degenerate nonlinearity. (English) Zbl 1446.35056 Adv. Difference Equ. 2018, Paper No. 147, 10 p. (2018). MSC: 35K57 35B40 35K55 35B05 35K15 PDFBibTeX XMLCite \textit{R. Yan} and \textit{X. Li}, Adv. Difference Equ. 2018, Paper No. 147, 10 p. (2018; Zbl 1446.35056) Full Text: DOI
Jaradat, Imad; Alquran, Marwan; Al-Dolat, Mohammad Analytic solution of homogeneous time-invariant fractional IVP. (English) Zbl 1446.35248 Adv. Difference Equ. 2018, Paper No. 143, 14 p. (2018). MSC: 35R11 35F25 35C10 40C15 26A33 PDFBibTeX XMLCite \textit{I. Jaradat} et al., Adv. Difference Equ. 2018, Paper No. 143, 14 p. (2018; Zbl 1446.35248) Full Text: DOI
Chen, Wenping; Lü, Shujuan; Chen, Hu; Liu, Haiyu Optimal error estimate of the Legendre spectral approximation for space-fractional reaction-advection-diffusion equation. (English) Zbl 1446.65091 Adv. Difference Equ. 2018, Paper No. 140, 22 p. (2018). MSC: 65M12 65M06 65M70 35R11 35K57 26A33 PDFBibTeX XMLCite \textit{W. Chen} et al., Adv. Difference Equ. 2018, Paper No. 140, 22 p. (2018; Zbl 1446.65091) Full Text: DOI
Na, Yang; Zhou, Mingjun; Zhou, Xu; Gai, Guanming Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term. (English) Zbl 1445.35219 Adv. Difference Equ. 2018, Paper No. 128, 12 p. (2018). MSC: 35K58 35B33 35K20 35B44 PDFBibTeX XMLCite \textit{Y. Na} et al., Adv. Difference Equ. 2018, Paper No. 128, 12 p. (2018; Zbl 1445.35219) Full Text: DOI
Zhang, Yifan On a kind of time optimal control problem of the heat equation. (English) Zbl 1445.35191 Adv. Difference Equ. 2018, Paper No. 117, 10 p. (2018). MSC: 35K05 35Q93 49J20 PDFBibTeX XMLCite \textit{Y. Zhang}, Adv. Difference Equ. 2018, Paper No. 117, 10 p. (2018; Zbl 1445.35191) Full Text: DOI
Xu, Xue; Wang, Yong Global existence and boundedness in a reaction-diffusion-taxis system with three species. (English) Zbl 1445.35215 Adv. Difference Equ. 2018, Paper No. 115, 10 p. (2018). MSC: 35K57 35K59 35B45 92D25 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Y. Wang}, Adv. Difference Equ. 2018, Paper No. 115, 10 p. (2018; Zbl 1445.35215) Full Text: DOI
Mohyud-Din, Syed Tauseef; Akram, Tayyaba; Abbas, Muhammad; Ismail, Ahmad Izani; Ali, Norhashidah H. M. A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection-diffusion equation. (English) Zbl 1445.65039 Adv. Difference Equ. 2018, Paper No. 109, 17 p. (2018). MSC: 65M70 65M06 65L60 35R11 26A33 PDFBibTeX XMLCite \textit{S. T. Mohyud-Din} et al., Adv. Difference Equ. 2018, Paper No. 109, 17 p. (2018; Zbl 1445.65039) Full Text: DOI
Xu, Tao; Lü, Shujuan; Chen, Wenping; Chen, Hu Finite difference scheme for multi-term variable-order fractional diffusion equation. (English) Zbl 1445.65041 Adv. Difference Equ. 2018, Paper No. 103, 13 p. (2018). MSC: 65M70 65M06 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{T. Xu} et al., Adv. Difference Equ. 2018, Paper No. 103, 13 p. (2018; Zbl 1445.65041) Full Text: DOI
Zaky, M. A.; Baleanu, D.; Alzaidy, J. F.; Hashemizadeh, E. Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation. (English) Zbl 1445.65042 Adv. Difference Equ. 2018, Paper No. 102, 11 p. (2018). MSC: 65M70 65M06 65M12 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Adv. Difference Equ. 2018, Paper No. 102, 11 p. (2018; Zbl 1445.65042) Full Text: DOI
Kaya, Doğan; Gülbahar, Sema; Yokuş, Asıf; Gülbahar, Mehmet Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions. (English) Zbl 1445.65033 Adv. Difference Equ. 2018, Paper No. 77, 16 p. (2018). MSC: 65M50 35R11 35Q53 26A33 PDFBibTeX XMLCite \textit{D. Kaya} et al., Adv. Difference Equ. 2018, Paper No. 77, 16 p. (2018; Zbl 1445.65033) Full Text: DOI
Wang, Lina Entire solutions of the spruce budworm model. (English) Zbl 1445.35213 Adv. Difference Equ. 2018, Paper No. 76, 10 p. (2018). MSC: 35K57 35B08 35B40 35C07 PDFBibTeX XMLCite \textit{L. Wang}, Adv. Difference Equ. 2018, Paper No. 76, 10 p. (2018; Zbl 1445.35213) Full Text: DOI
Fu, Chen; Lu, Chang Na; Yang, Hong Wei Time-space fractional \((2+1)\) dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions. (English) Zbl 1445.35281 Adv. Difference Equ. 2018, Paper No. 56, 20 p. (2018). MSC: 35Q55 35R11 26A33 PDFBibTeX XMLCite \textit{C. Fu} et al., Adv. Difference Equ. 2018, Paper No. 56, 20 p. (2018; Zbl 1445.35281) Full Text: DOI
Yuan, Yueding; Chen, Haibo Global dynamics for a class of non-monotone time-delayed reaction-diffusion equations. (English) Zbl 1445.35216 Adv. Difference Equ. 2018, Paper No. 55, 16 p. (2018). MSC: 35K57 37L15 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{H. Chen}, Adv. Difference Equ. 2018, Paper No. 55, 16 p. (2018; Zbl 1445.35216) Full Text: DOI
Zhang, Yuanyuan Global solutions and uniform boundedness of attractive/repulsive LV competition systems. (English) Zbl 1445.92259 Adv. Difference Equ. 2018, Paper No. 52, 8 p. (2018). MSC: 92D25 35K57 35Q92 PDFBibTeX XMLCite \textit{Y. Zhang}, Adv. Difference Equ. 2018, Paper No. 52, 8 p. (2018; Zbl 1445.92259) Full Text: DOI
Baleanu, Dumitru; Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws. (English) Zbl 1445.35298 Adv. Difference Equ. 2018, Paper No. 46, 14 p. (2018). MSC: 35R11 26A33 35Q53 35C08 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Adv. Difference Equ. 2018, Paper No. 46, 14 p. (2018; Zbl 1445.35298) Full Text: DOI
Xu, Qian; Chang, Guangping The stability of bifurcating steady states for a spatially heterogeneous cooperative system with cross-diffusion. (English) Zbl 1445.35042 Adv. Difference Equ. 2018, Paper No. 43, 15 p. (2018). MSC: 35B32 35B35 92D25 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{G. Chang}, Adv. Difference Equ. 2018, Paper No. 43, 15 p. (2018; Zbl 1445.35042) Full Text: DOI
Zhao, Bao Jun; Wang, Ru Yun; Sun, Wen Jin; Yang, Hong Wei Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions. (English) Zbl 1445.35280 Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018). MSC: 35Q51 35C08 37K40 37K45 PDFBibTeX XMLCite \textit{B. J. Zhao} et al., Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018; Zbl 1445.35280) Full Text: DOI
Yuan, Qiong; Chen, Huanzhen An expanded mixed finite element simulation for two-sided time-dependent fractional diffusion problem. (English) Zbl 1445.65037 Adv. Difference Equ. 2018, Paper No. 34, 15 p. (2018). MSC: 65M60 35R11 35K57 26A33 PDFBibTeX XMLCite \textit{Q. Yuan} and \textit{H. Chen}, Adv. Difference Equ. 2018, Paper No. 34, 15 p. (2018; Zbl 1445.65037) Full Text: DOI
Huang, Bo; Xie, Shaofen Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics. (English) Zbl 1445.35104 Adv. Difference Equ. 2018, Paper No. 29, 15 p. (2018). MSC: 35C07 35C05 35Q53 37K40 35Q51 35Q55 PDFBibTeX XMLCite \textit{B. Huang} and \textit{S. Xie}, Adv. Difference Equ. 2018, Paper No. 29, 15 p. (2018; Zbl 1445.35104) Full Text: DOI
Liang, Xin; Gao, Feng; Zhou, Chun-Bo; Wang, Zhen; Yang, Xiao-Jun An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type. (English) Zbl 1445.35305 Adv. Difference Equ. 2018, Paper No. 25, 11 p. (2018). MSC: 35R11 35K57 26A33 PDFBibTeX XMLCite \textit{X. Liang} et al., Adv. Difference Equ. 2018, Paper No. 25, 11 p. (2018; Zbl 1445.35305) Full Text: DOI