# zbMATH — the first resource for mathematics

## International Journal of Nonlinear Sciences and Numerical Simulation

 Short Title: Int. J. Nonlinear Sci. Numer. Simul. Publisher: De Gruyter, Berlin ISSN: 1565-1339; 2191-0294/e Online: http://www.degruyter.com/view/j/ijnsnshttp://www.cs.uky.edu/~jzhang/nsns.html
 Documents Indexed: 582 Publications (since 2000) References Indexed: 364 Publications with 10,164 References.
all top 5

#### Latest Issues

 21, No. 3-4 (2020) 21, No. 2 (2020) 21, No. 1 (2020) 20, No. 7-8 (2019) 20, No. 6 (2019) 20, No. 5 (2019) 20, No. 3-4 (2019) 20, No. 2 (2019) 20, No. 1 (2019) 19, No. 7-8 (2018) 19, No. 6 (2018) 19, No. 5 (2018) 19, No. 3-4 (2018) 19, No. 2 (2018) 19, No. 1 (2018) 18, No. 7-8 (2017) 18, No. 6 (2017) 18, No. 5 (2017) 18, No. 3-4 (2017) 18, No. 2 (2017) 18, No. 1 (2017) 17, No. 7-8 (2016) 17, No. 6 (2016) 17, No. 5 (2016) 17, No. 3-4 (2016) 17, No. 2 (2016) 17, No. 1 (2016) 16, No. 7-8 (2015) 16, No. 6 (2015) 16, No. 5 (2015) 16, No. 3-4 (2015) 16, No. 2 (2015) 16, No. 1 (2015) 15, No. 7-8 (2014) 15, No. 6 (2014) 15, No. 5 (2014) 15, No. 3-4 (2014) 15, No. 2 (2014) 15, No. 1 (2014) 14, No. 7-8 (2013) 14, No. 6 (2013) 14, No. 5 (2013) 14, No. 3-4 (2013) 14, No. 2 (2013) 14, No. 1 (2013) 13, No. 7-8 (2012) 13, No. 6 (2012) 13, No. 5 (2012) 13, No. 3-4 (2012) 13, No. 2 (2012) 13, No. 1 (2012) 12, No. 1-8 (2011) 11, No. 9 (2010) 11, No. 5 (2010) 11, No. 4 (2010) 11, No. 3 (2010) 11, No. 2 (2010) 11, No. Supplement (2010) 10, No. 11-12 (2009) 10, No. 9 (2009) 10, No. 6 (2009) 10, No. 1 (2009) 9, No. 1 (2008) 8, No. 2 (2007) 7, No. 3 (2006) 7, No. 2 (2006) 7, No. 1 (2006) 6, No. 4 (2005) 6, No. 3 (2005) 6, No. 2 (2005) 6, No. 1 (2005) 5, No. 4 (2004) 5, No. 3 (2004) 5, No. 2 (2004) 5, No. 1 (2004) 4, No. 4 (2003) 4, No. 3 (2003) 3, No. 2 (2002) 3, No. 1 (2002) 2, No. 4 (2001) 2, No. 3 (2001) 2, No. 2 (2001) 2, No. 1 (2001) 1, No. 4 (2000) 1, No. 3 (2000) 1, No. 2 (2000) 1, No. 1 (2000)
all top 5

all top 5

#### Fields

 134 Partial differential equations (35-XX) 130 Ordinary differential equations (34-XX) 127 Fluid mechanics (76-XX) 125 Numerical analysis (65-XX) 79 Mechanics of deformable solids (74-XX) 65 Dynamical systems and ergodic theory (37-XX) 65 Biology and other natural sciences (92-XX) 41 Systems theory; control (93-XX) 33 Mechanics of particles and systems (70-XX) 20 Classical thermodynamics, heat transfer (80-XX) 18 Integral equations (45-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Real functions (26-XX) 16 Difference and functional equations (39-XX) 13 Operator theory (47-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Information and communication theory, circuits (94-XX) 10 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 9 Optics, electromagnetic theory (78-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Approximations and expansions (41-XX) 6 Special functions (33-XX) 6 Operations research, mathematical programming (90-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Quantum theory (81-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

286 Publications have been cited 1,949 times in 1,865 Documents Cited by Year
Homotopy perturbation method for bifurcation of nonlinear problems. Zbl 1401.65085
He, Ji-Huan
2005
Application of variational iteration method to nonlinear differential equations of fractional order. Zbl 1401.65087
Odibat, Zaid M.; Momani, Shaher
2006
Application of He’s homotopy perturbation method to Volterra’s integro-differential equation. Zbl 1401.65150
El-Shahed, Moustafa
2005
A review on some new recently developed nonlinear analytical techniques. Zbl 0966.65056
He, Ji-Huan
2000
The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations. Zbl 1401.35010
Bildik, Necdet; Konuralp, Ali
2006
He’s homotopy perturbation method for calculating Adomian polynomials. Zbl 1401.65056
2007
On an improved complex tanh-function method. Zbl 1401.35012
Abdusalam, H. A.
2005
Variational theory for linear magneto-electro-elasticity. Zbl 1083.74526
He, Jihuan
2001
Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. III: Double series expansion. Zbl 1072.34507
He, Jihuan
2001
An approximation solution for one-dimensional weakly nonlinear oscillations. Zbl 1079.34028
Marinca, Vasile
2002
The solution of KdV and mKdV equations using Adomian Padé approximation. Zbl 1401.65122
Abassy, Tamer A.; El-Tawil, Magdy A.; Saleh, Hassan K.
2004
Bookkeeping parameter in perturbation methods. Zbl 1072.34508
He, Jihuan
2001
Lump-type solutions to the $$(3+1)$$-dimensional Jimbo-Miwa equation. Zbl 1401.35273
Ma, Wen-Xiu
2016
New insights in boundary-only and domain-type RBF methods. Zbl 0954.65084
Chen, W.; Tanaka, M.
2000
Couette and Poiseuille flows for non-Newtonian fluids. Zbl 1401.76018
Siddiqui, A. M.; Ahmed, M.; Ghori, Q. K.
2006
The modified Adomian decomposition method for solving linear and nonlinear boundary value problems of tenth-order and twelfth-order. Zbl 0966.65058
Wazwaz, Abdul-Majid
2000
Adaptive synchronization of a unified chaotic system with an uncertain parameter. Zbl 1401.93123
Park, Ju H.
2005
Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations. Zbl 1401.35014
Zayed, E. M. E.; Zedan, Hassan A.; Gepreel, Khaled A.
2004
Ulam’s-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces. Zbl 1401.34091
Wang, JinRong; Zada, Akbar; Ali, Wajid
2018
Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses. Zbl 1461.34014
2018
On the equivalence of mixed element formulations and the concept of reduced integration in large deformation problems. Zbl 1079.74057
Reese, Stefanie
2002
Fracture dynamics with allowance for crack edge contact interaction. Zbl 1241.74032
Guz, A. N.; Zozulya, V. V.
2001
A general technique for eliminating spurious oscillations in conservative schemes for multiphase and multispecies Euler equations. Zbl 1079.76059
Fedkiw, Ronald; Liu, Xu-Dong; Osher, Stanley
2002
Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation. Zbl 1401.35276
Shen, Jianwei; Xu, Wei
2004
Variational iteration method for solving nonlinear differential-difference equations. Zbl 1401.65152
Mokhtari, Reza
2008
Symmetry solutions and reductions of a class of generalized $$(2+1)$$-dimensional Zakharov-Kuznetsov equation. Zbl 1401.35270
Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan
2011
New exact solutions for $$(3+1)$$-dimensional Kadomtsev- Petviashvili equation and generalized (2+1)-dimensional Boussinesq equation. Zbl 1401.35267
El-Sabbagh, M. F.; Ali, A. T.
2005
Numerical solution of singular patterns in one-dimensional Gray-Scott-like models. Zbl 1401.65101
Owolabi, Kolade M.; Patidar, Kailash C.
2014
Exp-function method for fractional differential equations. Zbl 1401.35317
He, Ji-Huan
2013
A note on Legendre polynomials. Zbl 1075.33502
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente
2001
Construction of periodic solutions to partial differential equations with nonlinear boundary conditions. Zbl 0977.35031
Andrianov, Igor; Awrejcewicz, Jan
2000
The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations. Zbl 1401.65149
El-Sayed, Salah M.; Kaya, Dogan; Zarea, S.
2004
Search for variational principles in electrodynamics by Lagrange method. Zbl 1401.78004
Hao, Tian-Hu
2005
Variational iteration method for re-formulated partial differential equations. Zbl 1401.65141
Tauseef Mohyud-Din, Syed; Aslam Noor, Muhammad; Noor, K. I.; Hosseini, M. M.
2010
Convergence of the homotopy perturbation method. Zbl 1401.35024
Turkyilmazoglu, M.
2011
A new simplified bilinear method for the $$N$$-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients. Zbl 1401.35263
2015
Permanence and complexity of a three species food chain with impulsive effect on the top predator. Zbl 1401.92167
Wang, Fengyan; Zhang, Shuwen; Chen, Lansun; Sun, Lihua
2005
Robust IMEX schemes for solving two-dimensional reaction-diffusion models. Zbl 1401.65100
2015
A fractional $$q$$-difference equation with integral boundary conditions and comparison theorem. Zbl 1401.39010
Ren, Jing; Zhai, Chengbo
2017
Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025
Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo
2018
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 1461.65247
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2018
Tri-integrable couplings by matrix loop algebras. Zbl 1401.37077
Ma, Wen-Xiu; Meng, Jinghan; Zhang, Huiqun
2013
A classical variational model for micropolar elastodynamics. Zbl 0967.74008
He, Jihuan
2000
Bifurcation analysis and chaos control in a second-order rational difference equation. Zbl 1401.39014
Din, Qamar; Elsadany, A. A.; Ibrahim, Samia
2018
Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods. Zbl 1401.65076
Owolabi, Kolade M.; Patidar, Kailash C.
2016
Generation of firing rhythm patterns and synchronization in the Morris-Lecar neuron model. Zbl 1401.92040
Wang, Haixia; Lu, Qishao; Wang, Qingyun
2005
Bifurcations of a generalized Camassa-Holm equation. Zbl 1401.37057
Zhang, Zhengdi; Bi, Qinsheng
2005
Effect of damage on bifurcation and chaos of viscoelastic plates. Zbl 1401.74196
Zheng, Yufang; Fu, Yiming
2005
Homotopy perturbation pade technique for solving fractional Riccati differential equations. Zbl 1401.34011
Jafari, H.; Tajadodi, H.; Matikolai, S. A. Hosseini
2010
Analytical approach for the space-time nonlinear partial differential fractional equation. Zbl 1401.35310
Bekir, Ahmet; Güner, Özkan
2014
A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082
Zhang, Ning; Xia, Tiecheng
2015
Modeling the effects of health education and early therapy on tuberculosis transmission dynamics. Zbl 1461.92123
Xiang, Hong; Zou, Ming-Xuan; Huo, Hai-Feng
2019
Stability analysis of a mathematical model for glioma-immune interaction under optimal therapy. Zbl 1464.92129
Khajanchi, Subhas
2019
A new investigation on fractional-ordered neutral differential systems with state-dependent delay. Zbl 07168390
Valliammal, N.; Ravichandran, C.; Hammouch, Zakia; Baskonus, Haci Mehmet
2019
An alternative solution algorithm for the nonlinear generalized Emden-Fowler equation. Zbl 1072.34503
Khuri, S. A.
2001
Jacobi collocation approximation for solving multi-dimensional Volterra integral equations. Zbl 1401.65148
Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Tenreiro Machado, José A.; Lopes, António M.
2017
Mathematical modelling of enfuvirtide and protease inhibitors as combination therapy for HIV. Zbl 1401.92100
Chowdhury, Sonia; Roy, Priti Kumar; Smith?, Robert J.
2016
Periodic oscillatory solution to delayed BAM neural networks with impulses. Zbl 1401.34043
Liu, Zhigang; Chen, Anping; Huang, Lihong
2004
The integer multiple “fold/homoclinic” bursting induced by noise in the Chay neuronal model. Zbl 1401.92042
Yang, Zhuoqin; Lu, Qishao
2005
Dynamical bifurcation for a predator-prey metapopulation model with delay. Zbl 1401.92032
Ma, Suqi; Lu, Qishao
2005
Analysis on nonlinear dynamics of a string-beam coupled system. Zbl 1401.74142
Cao, Dongxing; Zhang, Wei
2005
Classification and computation of non-resonant double Hopf bifurcations and solutions in delayed van der Pol-Duffing system. Zbl 1401.37058
Zhang, Yanyan; Xu, Jian
2005
Particular symmetry in RNA sequence of SARS and the origin of SARS coronavirus. (Particular symmetry in RNA squence of SARS and the origin of SARS coronavirus.) Zbl 1401.92154
Xiao, Xuan; Yao, Jin-Song; Shao, Shi-Huang; Li, Zheng-Jun; Zhu, Yi-Sheng; Huang, Zheng-De
2005
Solution of singular equation by He’s variational iteration method. Zbl 1401.65089
Tauseef Mohyud-Din, Syed; Aslam Noor, Muhammad; Noor, K. I.; Hosseini, M. M.
2010
Communicating encrypted information based on synchronized hyperchaotic maps. Zbl 1398.94108
Cruz-Hernández, C.; López-Gutiérrez, R. M.; Aguilar-Bustos, A. Y.; Posadas-Castillo, C.
2010
Symbolic computation on soliton solutions for variable-coefficient quantum Zakharov-Kuznetsov equation in magnetized dense plasmas. Zbl 1401.82037
Awawdeh, Fadi; Al-Shara’, Safwan; Jaradat, H. M.; Alomari, A. K.; Alshorman, Rafat
2014
Analytic investigation of a reaction-diffusion Brusselator model with the time-space fractional derivative. Zbl 1401.35172
Aslan, İsmail
2014
Conservation laws and exact solutions with symmetry reduction of nonlinear reaction diffusion equations. Zbl 1401.35005
Tascan, Filiz; Yakut, Arzu
2015
Stability and Hopf bifurcation of a predator-prey biological economic system with nonlinear harvesting rate. Zbl 1401.92162
Liu, Weiyi; Fu, Chaojin; Chen, Boshan
2015
A quintic B-spline based differential quadrature method for numerical solution of Kuramoto-Sivashinsky equation. Zbl 1401.65116
Mittal, R. C.; Dahiya, Sumita
2017
A collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equations. Zbl 1461.65243
Abdelkawy, M. A.
2018
Sixth-kind Chebyshev spectral approach for solving fractional differential equations. Zbl 07048618
Abd-Elhameed, W. M.; Youssri, Y. H.
2019
Modeling of nonlinear oil-film force acting on a pressboard with unsteady motion and nonlinear instability analysis under the model. Zbl 1172.76306
Zhang, Wen; Xu, Xiaofeng
2000
Two-to-one internal resonance in serpentine belt drive systems. Zbl 0969.74544
Zu, Jean W.; Zhang, Lixin
2000
Improvement of Newton iteration method. Zbl 0949.65505
He, Jihuan
2000
Multiscale approaches to unsteady simulation of turbulent flows. Zbl 0971.76042
Sagaut, P.; Labourasse, E.; Quéméré, P.; Terracol, M.
2000
Complex dynamics and the high-energy regime of quantum field theory. Zbl 1401.81080
Goldfain, Ervin
2005
Stability analysis of an SEIR epidemic model with stochastic perturbation and numerical simulation. Zbl 1401.92181
Fan, Xiaoming; Wang, Zhigang
2013
A Lévy based approach to random vector fields: with a view towards turbulence. Zbl 1401.76112
Hedevang, Emil; Schmiegel, Jürgen
2014
Fractals and chaos related to Ising-Onsager-Zhang lattices vs. the Jordan-von Neumann-Wigner procedures. Ternary approach. Zbl 1401.17005
Ławrynowicz, Julian; Suzuki, Osamu; Niemczynowicz, Agnieszka
2013
Sylvester-tridiagonal matrix with alternating main diagonal entries and its spectra. Zbl 1401.15033
Kılıç, Emrah
2013
Numerical solution of MHD stagnation point flow of Williamson fluid model over a stretching cylinder. Zbl 1401.76166
Malik, M. Y.; Salahuddin, T.
2015
Numerical solutions of stochastic Volterra-Fredholm integral equations by hybrid Legendre block-pulse functions. Zbl 1401.65015
Saha Ray, S.; Singh, S.
2018
RBFPUM with QR factorization for solving water flow problem in multilayered soil. Zbl 1401.76141
Sadik, Mohamed; Hassan Ben-Ahmed, El; Wakrim, Mohamed
2018
Backward bifurcation in a fractional-order SIRS epidemic model with a nonlinear incidence rate. Zbl 1401.92208
Yousef, A. M.; Salman, S. M.
2016
Auxiliary equation method for fractional differential equations with modified Riemann-Liouville derivative. Zbl 1401.35308
Akbulut, Arzu; Kaplan, Melike; Bekir, Ahmet
2016
$$L$$-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems. Zbl 1461.65206
Qureshi, Sania; Ramos, Higinio
2018
Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models. Zbl 1461.35218
Zhou, Y.; Manimaran, J.; Shangerganesh, L.; Debbouche, A.
2018
Conservation laws of space-time fractional mZK equation for Rossby solitary waves with complete Coriolis force. Zbl 1451.76031
Yang, Hong Wei; Guo, Min; He, Hailun
2019
Chaotic contact dynamics of two microbeams under various kinematic hypotheses. Zbl 07067954
Krysko, V. A.; Awrejcewicz, J.; Papkova, I. V.; Saltykova, O. A.; Krysko, A. V.
2019
Monte Carlo algorithms for the detection of necessary linear matrix inequality constraints. Zbl 1116.90387
Jibrin, Shafiu; Pressman, Irwin S.
2001
A numerical method for solving the limited aperture problem in three-dimensional inverse obstacle scattering. Zbl 1234.76045
You, Yunxiang; Miao, Guoping; Liu, Yingzhong
2001
Optic discrete breathers in Euclidean invariant systems. Zbl 1043.37510
MacKay, R. S.
2000
A variational model for micropolar fluids in lubrication journal bearing. Zbl 0978.76009
He, Jihuan
2000
A new finite element with self-adapting built-in discontinuity for shock-capturing in transonic flow. Zbl 1005.76058
Liu, Gaolian
2000
Simulation of interface cracking in piezoelectric layers. Zbl 1401.74272
Guo, Xianghua; Fang, Daining
2004
Multi-pulse homoclinic orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt. Zbl 1401.70012
Yao, Minghui; Zhang, Wei
2005
Adaptive synchronization of a four-dimensional chaotic system with uncertain parameters. Zbl 1401.93124
Park, Ju H.
2005
High order He’s energy balance method based on collocation method. Zbl 1401.65081
Durmaz, S.; Demirbağ, S. Altay; Kaya, M. O.
2010
Vibro-impact of a heavy mass particle moving along a rough circle with two impact limiters. Zbl 1401.70023
Hedrih, Katica R. (Stevanović); Raičević, Vladimir; Jović, Srdjan
2010
An avant-garde handling of temporal-spatial fractional physical models. Zbl 07201332
Jaradat, Imad; Alquran, Marwan; Katatbeh, Qutaibeh; Yousef, Feras; Momani, Shaher; Baleanu, Dumitru
2020
Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals. Zbl 07201328
Gou, Haide; Li, Yongxiang
2020
Dynamical analysis of fractional order model for computer virus propagation with kill signals. Zbl 07336593
Özdemir, Necati; Uçar, Sümeyra; Eroğlu, Beyza Billur İskender
2020
Existence, uniqueness and stability of implicit switched coupled fractional differential equations of $$\psi$$-Hilfer type. Zbl 07336601
2020
Modeling the effects of health education and early therapy on tuberculosis transmission dynamics. Zbl 1461.92123
Xiang, Hong; Zou, Ming-Xuan; Huo, Hai-Feng
2019
Stability analysis of a mathematical model for glioma-immune interaction under optimal therapy. Zbl 1464.92129
Khajanchi, Subhas
2019
A new investigation on fractional-ordered neutral differential systems with state-dependent delay. Zbl 07168390
Valliammal, N.; Ravichandran, C.; Hammouch, Zakia; Baskonus, Haci Mehmet
2019
Sixth-kind Chebyshev spectral approach for solving fractional differential equations. Zbl 07048618
Abd-Elhameed, W. M.; Youssri, Y. H.
2019
Conservation laws of space-time fractional mZK equation for Rossby solitary waves with complete Coriolis force. Zbl 1451.76031
Yang, Hong Wei; Guo, Min; He, Hailun
2019
Chaotic contact dynamics of two microbeams under various kinematic hypotheses. Zbl 07067954
Krysko, V. A.; Awrejcewicz, J.; Papkova, I. V.; Saltykova, O. A.; Krysko, A. V.
2019
Application of the optimal auxiliary functions method to a permanent magnet synchronous generator. Zbl 07067956
Herisanu, N.; Marinca, V.; Madescu, G.
2019
Global stability of nonlinear feedback systems with positive linear parts. Zbl 07168305
2019
Existence results of mild solutions for impulsive fractional integrodifferential evolution equations with nonlocal conditions. Zbl 07020736
Zhang, Xuping; Gou, Haide; Li, Yongxiang
2019
Dynamics of a predator-prey model with Holling type II functional response incorporating a prey refuge depending on both the species. Zbl 1461.92092
Molla, Hafizul; Sabiar Rahman, Md.; Sarwardi, Sahabuddin
2019
Abundant lump solution and interaction phenomenon of (3+1)-dimensional generalized Kadomtsev-Petviashvili equation. Zbl 07020739
Lü, Jianqing; Bilige, Sudao; Gao, Xiaoqing
2019
Effect of fractional damping in double-well Duffing-Vander Pol oscillator driven by different sinusoidal forces. Zbl 07048611
Sethu Meenakshi, M. V.; Athisayanathan, S.; Chinnathambi, V.; Rajasekar, S.
2019
A Riccati-Bernoulli sub-ODE method for some nonlinear evolution equations. Zbl 07067948
Hassan, S. Z.; Abdelrahman, Mahmoud A. E.
2019
Existence of at least one homoclinic solution for a nonlinear second-order difference equation. Zbl 07067958
Bohner, Martin; Caristi, Giuseppe; Heidarkhani, Shapour; Moradi, Shahin
2019
Positive solutions for a semipositone singular Riemann-Liouville fractional differential problem. Zbl 07168392
Agarwal, Ravi P.; Luca, Rodica
2019
New conditions and numerical checking method for the practical stability of fractional order positive discrete-time linear systems. Zbl 07067949
Yang, Hongli; Jia, Yuexiao
2019
Stability and bifurcation analysis in a discrete-time SIR epidemic model with fractional-order. Zbl 07067951
El-Shahed, Moustafa; Abdelstar, Ibrahim M. E.
2019
Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments. Zbl 07067960
2019
Limits of solutions to the isentropic Euler equations for van der Waals gas. Zbl 07067961
Wang, Jinhuan; Pang, Yicheng; Zhang, Yu
2019
An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations. Zbl 07168301
Ghasemi, M.
2019
Monotone iterative technique for periodic boundary value problem of fractional differential equation in Banach spaces. Zbl 07168307
Chen, Pengyu; Kong, Yibo
2019
Improved results on adaptive control approach for projective synchronization of neural networks with time-varying delay. Zbl 1461.93243
Abdurahman, Abdujelil; Sader, Malika; Jiang, Haijun
2019
Additional extension of the mathematical model for BCG immunotherapy of bladder cancer and its validation by auxiliary tool. Zbl 1464.92125
Guzev, Ekaterina; Halachmi, Sarel; Bunimovich-Mendrazitsky, Svetlana
2019
Lie symmetries, one-dimensional optimal system and group invariant solutions for the Ripa system. Zbl 07168324
2019
On the numerical computation of the Mittag-Leffler function. Zbl 07168325
Ortigueira, Manuel D.; Lopes, António M.; Tenreiro Machado, José
2019
Dynamic behavior of an SIR epidemic model along with time delay; Crowley-Martin type incidence rate and Holling type II treatment rate. Zbl 07168387
Kumar, Abhishek; Nilam
2019
Existence theory and stability analysis of fractional Langevin equation. Zbl 07168393
Rizwan, Rizwan
2019
Ulam’s-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces. Zbl 1401.34091
Wang, JinRong; Zada, Akbar; Ali, Wajid
2018
Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses. Zbl 1461.34014
2018
Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025
Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo
2018
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 1461.65247
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M.
2018
Bifurcation analysis and chaos control in a second-order rational difference equation. Zbl 1401.39014
Din, Qamar; Elsadany, A. A.; Ibrahim, Samia
2018
A collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equations. Zbl 1461.65243
Abdelkawy, M. A.
2018
Numerical solutions of stochastic Volterra-Fredholm integral equations by hybrid Legendre block-pulse functions. Zbl 1401.65015
Saha Ray, S.; Singh, S.
2018
RBFPUM with QR factorization for solving water flow problem in multilayered soil. Zbl 1401.76141
Sadik, Mohamed; Hassan Ben-Ahmed, El; Wakrim, Mohamed
2018
$$L$$-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems. Zbl 1461.65206
Qureshi, Sania; Ramos, Higinio
2018
Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models. Zbl 1461.35218
Zhou, Y.; Manimaran, J.; Shangerganesh, L.; Debbouche, A.
2018
Positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems. Zbl 1401.93176
2018
Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098
Sambath, M.; Ramesh, P.; Balachandran, K.
2018
Effect of slip and convective boundary conditions on entropy generation in a porous channel due to micropolar fluid flow. Zbl 1401.76143
Srinivasacharya, D.; Himabindu, K.
2018
Numerical exploration of heat transfer and Lorentz force effects on the flow of MHD Casson fluid over an upper horizontal surface of a thermally stratified melting surface of a paraboloid of revolution. Zbl 1401.76165
Makinde, O. D.; Sandeep, N.; Ajayi, T. M.; Animasaun, I. L.
2018
Numerical method for a class of nonlinear singularly perturbed delay differential equations using parametric cubic spline. Zbl 1401.65078
Ravi Kanth, A. S. V.; Murali Mohan Kumar, P.
2018
Hybrid method for solution of fractional order linear differential equation with variable coefficients. Zbl 1401.65090
Ujlayan, Amit; Dixit, Ajay
2018
Stability, bifurcation and optimal control analysis of a malaria model in a periodic environment. Zbl 1401.92200
Panja, Prabir; Kumar Mondal, Shyamal; Chattopadhyay, Joydev
2018
Numerical solutions for radiative heat transfer in ferrofluid flow due to a rotating disk: Tiwari and Das model. Zbl 1401.76107
Mustafa, M.; Khan, Junaid Ahmad; Hayat, T.; Alsaedi, A.
2018
Solvability of anti-periodic BVPs for impulsive fractional differential systems involving Caputo and Riemann-Liouville fractional derivatives. Zbl 1401.34013
Liu, Yuji
2018
Microcontroller control/synchronization of the dynamics of van der Pol oscillators submitted to disturbances. Zbl 1401.93113
Siewe, R. Thepi; Domguia, U. Simo; Woafo, P.
2018
An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations. Zbl 1401.65086
2018
Variational approaches to $$P(X)$$-Laplacian-like problems with Neumann condition originated from a capillary phenomena. Zbl 1401.35102
Heidarkhani, Shapour; Afrouzi, Ghasem A.; Moradi, Shahin
2018
Numerical methods for the derivative nonlinear Schrödinger equation. Zbl 1401.65094
Li, Shu-Cun; Li, Xiang-Gui; Shi, Fang-Yuan
2018
Lax integrability and exact solutions of a variable-coefficient and nonisospectral AKNS hierarchy. Zbl 1401.35279
Zhang, Sheng; Hong, Siyu
2018
Controllability of fractional evolution inclusions with noninstantaneous impulses. Zbl 1401.34027
Wang, JinRong; Ibrahim, A. G.; O&rsquo;Regan, D.
2018
Real-time control of a rotary inverted pendulum using robust LQR-based ANFIS controller. Zbl 1401.93126
Chawla, Ishan; Singla, Ashish
2018
A study of an extended generalized $$(2+1)$$-dimensional Jaulent-Miodek equation. Zbl 1401.35011
Motsepa, Tanki; Abudiab, Mufid; Masood Khalique, Chaudry
2018
Flow modeling of well test analysis for a multiple-fractured horizontal well in triple media carbonate reservoir. Zbl 1401.76145
Wang, Yong; Yi, Xiangyi
2018
Pseudo almost periodicity and its applications to impulsive nonautonomous partial functional stochastic evolution equations. Zbl 1401.34025
Yan, Zuomao; Jia, Xiumei
2018
Numerical treatment of the modified Burgers’ equation via backward differentiation formulas of orders two and three. Zbl 1461.65230
Mukundan, Vijitha; Awasthi, Ashish
2018
Nonlinear wave modulation in nanorods using nonlocal elasticity theory. Zbl 1435.74046
Gaygusuzoglu, Guler; Aydogdu, Metin; Gul, Ufuk
2018
Continuous dependence on data for solutions of fractional extended Fisher-Kolmogorov equation. Zbl 1461.35208
Chen, Pengyu; Xin, Zhen; An, Jiahui
2018
A fractional $$q$$-difference equation with integral boundary conditions and comparison theorem. Zbl 1401.39010
Ren, Jing; Zhai, Chengbo
2017
Jacobi collocation approximation for solving multi-dimensional Volterra integral equations. Zbl 1401.65148
Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Bhrawy, Ali H.; Tenreiro Machado, José A.; Lopes, António M.
2017
A quintic B-spline based differential quadrature method for numerical solution of Kuramoto-Sivashinsky equation. Zbl 1401.65116
Mittal, R. C.; Dahiya, Sumita
2017
A note on hidden transient chaos in the Lorenz system. Zbl 1401.37090
Yuan, Quan; Yang, Fang-Yan; Wang, Lei
2017
The Hermitian positive definite solution of the nonlinear matrix equation. Zbl 1401.15014
Zhang, Xindong; Feng, Xinlong
2017
Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation. Zbl 1401.82026
Sarıaydın-Filibelioğlu, Ayşe; Karasözen, Bülent; Uzunca, Murat
2017
Rosenau-KdV equation coupling with the Rosenau-RLW equation: conservation laws and exact solutions. Zbl 1401.35274
2017
Existence results of mild solutions for impulsive fractional evolution equations with periodic boundary condition. Zbl 1401.34032
Li, Baolin; Gou, Haide
2017
A Lagrange regularized kernel method for solving multi-dimensional time-fractional heat equations. Zbl 1401.65118
Pindza, Edson; Clement Mba, Jules; Maré, Eben; Moubandjo, Désirée
2017
A class of exact solutions of $$(3+1)$$-dimensional generalized B-type Kadomtsev-Petviashvili equation. Zbl 1401.35272
Liu, Shuang; Ding, Yao; Liu, Jian-Guo
2017
Three-dimensional flow problems in a lid-driven cubical cavity with a circular cylinder. Zbl 1401.76048
Hammami, Faycel; Souayeh, Basma; Ben-Beya, Brahim
2017
Complete controllability of fractional impulsive multivalued stochastic partial integrodifferential equations with state-dependent delay. Zbl 1401.93040
Yan, Zuomao; Lu, Fangxia
2017
Dynamic stability of a thin film bonded to a compliant substrate subjected to a step load with damping. Zbl 1401.74206
Ou, Zhicheng; Yao, Xiaohu; Zhang, Xiaoqing
2017
Non-polynomial spline method for one dimensional nonlinear Benjamin-Bona-Mahony-Burgers equation. Zbl 1401.65120
Ravi Kanth, A. S. V.; Deepika, S.
2017
On the Mittag-Leffler stability of impulsive fractional solow-type models. Zbl 1401.34089
Stamova, Ivanka M.; Stamov, Gani Tr.
2017
Dynamic analysis of a Lü model in six dimensions and its projections. Zbl 1401.34053
Alberto Quezada-Téllez, Luis; Carrillo-Moreno, Salvador; Rosas-Jaimes, Oscar; Flores-Godoy, José Job; Fernández-Anaya, Guillermo
2017
Hermite pseudospectral method for the time fractional diffusion equation with variable coefficients. Zbl 1401.65115
Liu, Zeting; Lü, Shujuan
2017
Finite time blow-up in a delayed diffusive population model with competitive interference. Zbl 1401.35185
Parshad, Rana D.; Bhowmick, Suman; Quansah, Emmanuel; Agrawal, Rashmi; Upadhyay, Ranjit Kumar
2017
Real-time swing-up and stabilization control of a cart-pendulum system with constrained cart movement. Zbl 1401.70015
Singla, Ashish; Singh, Gurminder
2017
Almost periodic solution in a Lotka-Volterra recurrent neural networks with time-varying delays. Zbl 1401.34080
Yang, Li; Li, Zhouhong; Pang, Liyan; Zhang, Tianwei
2017
A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation. Zbl 1401.65107
Kumar, Sunil; Rathish Kumar, B. V.
2017
Barycentric Jacobi spectral method for numerical solutions of the generalized Burgers-Huxley equation. Zbl 1401.65119
Pindza, Edson; Owolabi, M. K.; Patidar, K. C.
2017
Lump-type solutions to the $$(3+1)$$-dimensional Jimbo-Miwa equation. Zbl 1401.35273
Ma, Wen-Xiu
2016
Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods. Zbl 1401.65076
Owolabi, Kolade M.; Patidar, Kailash C.
2016
Mathematical modelling of enfuvirtide and protease inhibitors as combination therapy for HIV. Zbl 1401.92100
Chowdhury, Sonia; Roy, Priti Kumar; Smith?, Robert J.
2016
Backward bifurcation in a fractional-order SIRS epidemic model with a nonlinear incidence rate. Zbl 1401.92208
Yousef, A. M.; Salman, S. M.
2016
Auxiliary equation method for fractional differential equations with modified Riemann-Liouville derivative. Zbl 1401.35308
Akbulut, Arzu; Kaplan, Melike; Bekir, Ahmet
2016
Nonhomogeneous porosity and thermal diffusivity effects on a double-diffusive convection in anisotropic porous media. Zbl 1401.76133
Harfash, Akil J.
2016
Periodic and quasi-periodic responses of van der Pol-Mathieu system subject to various excitations. Zbl 1401.70032
Fan, Q.; Leung, A. Y. T.; Lee, Y. Y.
2016
Application of bat algorithm to optimize scaling factors of fuzzy logic-based power system stabilizer for multimachine power system. Zbl 1401.93128
2016
Investigation on electrothermoelastic behavior of FGPM cylindrical shells. Zbl 1401.74040
Dai, Hong-Liang; Qi, Yi-Nan; Luo, Wei-Feng
2016
Dynamics of two-phase dusty fluid flow along a wavy surface. Zbl 1401.76153
Siddiqa, Sadia; Abrar, M. N.; Hossain, M. A.; Awais, M.
2016
Unsteady convective boundary layer flow of Maxwell fluid with nonlinear thermal radiation: a numerical study. Zbl 1401.76098
Mabood, Fazle; Imtiaz, Maria; Alsaedi, Ahmed; Hayat, Tasawar
2016
Sinc-Galerkin technique for the numerical solution of fractional Volterra-Fredholm integro-differential equations with weakly singular kernels. Zbl 1401.65153
Sahu, P. K.; Saha Ray, S.
2016
Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness. Zbl 1401.35078
Li, Lin; Rădulescu, Vicenţiu; Repovš, Dušan
2016
Existence of solutions of a new class of impulsive initial value problems of singular nonlinear fractional differential systems. Zbl 1401.34012
Liu, Yuji
2016
Comparison of subcritical and supercritical flow patterns within triangular channels along the side weir. Zbl 1401.76061
Azimi, Hamed; Shabanlou, Saeid
2016
...and 186 more Documents
all top 5

#### Cited by 2,653 Authors

 144 Chaos, Solitons and Fractals 140 Computers & Mathematics with Applications 109 Applied Mathematics and Computation 86 Mathematical Problems in Engineering 70 Nonlinear Dynamics 55 Numerical Methods for Partial Differential Equations 55 International Journal of Computer Mathematics 54 Abstract and Applied Analysis 37 Journal of Applied Mathematics 36 International Journal of Nonlinear Sciences and Numerical Simulation 35 Applied Mathematical Modelling 34 Mathematical Methods in the Applied Sciences 33 Advances in Difference Equations 26 Engineering Analysis with Boundary Elements 26 International Journal of Applied and Computational Mathematics 25 Communications in Nonlinear Science and Numerical Simulation 24 Journal of Computational and Applied Mathematics 21 Applied Mathematics and Mechanics. (English Edition) 20 Complexity 19 Journal of Computational Physics 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 International Journal of Numerical Methods for Heat & Fluid Flow 14 International Journal for Numerical Methods in Engineering 14 Computational and Applied Mathematics 14 Journal of Applied Mathematics and Computing 14 Advances in Mathematical Physics 13 Acta Mechanica 13 Meccanica 12 Journal of the Franklin Institute 12 International Journal of Biomathematics 12 International Journal for Numerical Methods in Biomedical Engineering 11 Acta Applicandae Mathematicae 11 Journal of the Egyptian Mathematical Society 11 AMM. Applied Mathematics and Mechanics. (English Edition) 10 Applied Numerical Mathematics 10 Archive of Applied Mechanics 10 International Journal of Differential Equations 10 Journal of Applied Analysis and Computation 9 Computers and Fluids 9 Mathematical and Computer Modelling 9 Computational Mathematics and Modeling 9 Discrete Dynamics in Nature and Society 8 Computer Methods in Applied Mechanics and Engineering 8 Numerical Algorithms 8 Journal of Mathematical Chemistry 8 Discrete and Continuous Dynamical Systems. Series S 8 Science China. Technological Sciences 8 Journal of Function Spaces 7 Applicable Analysis 7 International Journal for Numerical Methods in Fluids 7 Journal of Mathematical Analysis and Applications 7 Mathematics and Computers in Simulation 7 Applied Mathematics Letters 7 Journal of Applied Mechanics and Technical Physics 7 European Journal of Mechanics. A. Solids 7 Nonlinear Analysis. Real World Applications 7 Nonlinear Analysis. Modelling and Control 7 Inverse Problems in Science and Engineering 6 International Journal of Modern Physics B 6 International Journal of Theoretical Physics 6 Journal of Engineering Mathematics 6 Journal of Mathematical Physics 6 Fixed Point Theory and Applications 6 Waves in Random and Complex Media 6 Acta Mechanica Sinica 5 Chaos 5 Iranian Journal of Science and Technology. Transaction A: Science 5 Boundary Value Problems 5 Analysis and Mathematical Physics 5 S$$\vec{\text{e}}$$MA Journal 5 Mathematical Sciences 4 International Journal of Engineering Science 4 International Journal of Solids and Structures 4 Mechanics Research Communications 4 Studies in Applied Mathematics 4 Computational Mechanics 4 Communications in Numerical Methods in Engineering 4 International Journal of Applied Mathematics and Computer Science 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Entropy 4 Boletim da Sociedade Paranaense de Matemática. Terceira Série 4 Asian-European Journal of Mathematics 4 Computational Methods for Differential Equations 3 Computer Physics Communications 3 International Journal of Heat and Mass Transfer 3 Indian Journal of Pure & Applied Mathematics 3 Reports on Mathematical Physics 3 Journal of Geometry and Physics 3 Demonstratio Mathematica 3 International Journal of Mathematics and Mathematical Sciences 3 Kybernetes 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Mathematicae Applicatae Sinica. English Series 3 Advances in Engineering Software 3 International Applied Mechanics 3 Journal of Inequalities and Applications 3 Qualitative Theory of Dynamical Systems 3 The ANZIAM Journal 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 Applied Mathematics E-Notes ...and 172 more Journals