# 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: 623 Publications (since 2000) References Indexed: 405 Publications with 11,588 References.
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#### Fields

 143 Ordinary differential equations (34-XX) 141 Partial differential equations (35-XX) 139 Numerical analysis (65-XX) 131 Fluid mechanics (76-XX) 85 Mechanics of deformable solids (74-XX) 69 Dynamical systems and ergodic theory (37-XX) 69 Biology and other natural sciences (92-XX) 51 Systems theory; control (93-XX) 38 Mechanics of particles and systems (70-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Real functions (26-XX) 19 Integral equations (45-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Difference and functional equations (39-XX) 15 Operator theory (47-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Probability theory and stochastic processes (60-XX) 11 Information and communication theory, circuits (94-XX) 10 Statistics (62-XX) 9 Approximations and expansions (41-XX) 9 Optics, electromagnetic theory (78-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operations research, mathematical programming (90-XX) 6 Special functions (33-XX) 6 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Quantum theory (81-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 Topological groups, Lie groups (22-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

306 Publications have been cited 2,037 times in 1,937 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
Lump-type solutions to the $$(3+1)$$-dimensional Jimbo-Miwa equation. Zbl 1401.35273
Ma, Wen-Xiu
2016
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
An approximation solution for one-dimensional weakly nonlinear oscillations. Zbl 1079.34028
Marinca, Vasile
2002
Bookkeeping parameter in perturbation methods. Zbl 1072.34508
He, Jihuan
2001
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
Adaptive synchronization of a unified chaotic system with an uncertain parameter. Zbl 1401.93123
Park, Ju H.
2005
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
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
Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses. Zbl 1461.34014
2018
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
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
Exp-function method for fractional differential equations. Zbl 1401.35317
He, Ji-Huan
2013
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
Convergence of the homotopy perturbation method. Zbl 1401.35024
Turkyilmazoglu, M.
2011
Numerical solution of singular patterns in one-dimensional Gray-Scott-like models. Zbl 1401.65101
Owolabi, Kolade M.; Patidar, Kailash C.
2014
Robust IMEX schemes for solving two-dimensional reaction-diffusion models. Zbl 1401.65100
2015
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
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
A new simplified bilinear method for the $$N$$-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients. Zbl 1401.35263
2015
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
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
A fractional $$q$$-difference equation with integral boundary conditions and comparison theorem. Zbl 1401.39010
Ren, Jing; Zhai, Chengbo
2017
Bifurcation analysis and chaos control in a second-order rational difference equation. Zbl 1401.39014
Din, Qamar; Elsadany, A. A.; Ibrahim, Samia
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
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
Tri-integrable couplings by matrix loop algebras. Zbl 1401.37077
Ma, Wen-Xiu; Meng, Jinghan; Zhang, Huiqun
2013
Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods. Zbl 1401.65076
Owolabi, Kolade M.; Patidar, Kailash C.
2016
Homotopy perturbation pade technique for solving fractional Riccati differential equations. Zbl 1401.34011
Jafari, H.; Tajadodi, H.; Matikolai, S. A. Hosseini
2010
A classical variational model for micropolar elastodynamics. Zbl 0967.74008
He, Jihuan
2000
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
A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082
Zhang, Ning; Xia, Tiecheng
2015
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
Analytical approach for the space-time nonlinear partial differential fractional equation. Zbl 1401.35310
Bekir, Ahmet; Güner, Özkan
2014
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
Sixth-kind Chebyshev spectral approach for solving fractional differential equations. Zbl 07048618
Abd-Elhameed, W. M.; Youssri, Y. H.
2019
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
Mathematical modelling of enfuvirtide and protease inhibitors as combination therapy for HIV. Zbl 1401.92100
Chowdhury, Sonia; Roy, Priti Kumar; Smith?, Robert J.
2016
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
An alternative solution algorithm for the nonlinear generalized Emden-Fowler equation. Zbl 1072.34503
Khuri, S. A.
2001
Abundant lump solution and interaction phenomenon of (3+1)-dimensional generalized Kadomtsev-Petviashvili equation. Zbl 07020739
Lü, Jianqing; Bilige, Sudao; Gao, Xiaoqing
2019
Numerical solution of MHD stagnation point flow of Williamson fluid model over a stretching cylinder. Zbl 1401.76166
Malik, M. Y.; Salahuddin, T.
2015
Conservation laws and exact solutions with symmetry reduction of nonlinear reaction diffusion equations. Zbl 1401.35005
Tascan, Filiz; Yakut, Arzu
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
Numerical solutions of stochastic Volterra-Fredholm integral equations by hybrid Legendre block-pulse functions. Zbl 1401.65015
Saha Ray, S.; Singh, S.
2018
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
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
$$L$$-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
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
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
Non-overlapping generation species: complex prey-predator interactions. Zbl 1401.92158
Gkana, Amalia; Zachilas, Loukas
2015
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
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
RBFPUM with QR factorization for solving water flow problem in multilayered soil. Zbl 1401.76141
Sadik, Mohamed; Hassan Ben-Ahmed, El; Wakrim, Mohamed
2018
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
Bifurcation analysis and implicit solution of Klein-Gordon equation with dual-power law nonlinearity in relativistic quantum mechanics. Zbl 1401.35015
Biswas, Anjan; Song, Ming; Zerrad, Essaid
2013
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
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
Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098
Sambath, M.; Ramesh, P.; Balachandran, K.
2018
Global stability of nonlinear feedback systems with positive linear parts. Zbl 07168305
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
Lie symmetries and exact solutions of shallow water equations with variable bottom. Zbl 1401.35275
Pandey, Manoj
2015
Nonhomogeneous porosity and thermal diffusivity effects on a double-diffusive convection in anisotropic porous media. Zbl 1401.76133
Harfash, Akil J.
2016
A methodology for dynamic behavior analysis of the slider-crank mechanism considering clearance joint. Zbl 07412244
Chen, Yu; Feng, Jun; He, Qiang; Wang, Yu; Sun, Yu; Yu, Chengtao
2021
Dynamical analysis of fractional order model for computer virus propagation with kill signals. Zbl 07336593
Özdemir, Necati; Uçar, Sümeyra; Eroğlu, Beyza Billur İskender
2020
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
Soliton solutions for some nonlinear partial differential equations in mathematical physics using He’s variational method. Zbl 07201329
Elboree, Mohammed K.
2020
Dynamical analysis of a fractional-order Hantavirus infection model. Zbl 1470.92328
Moustafa, Mahmoud; Hafiz Mohd, Mohd; Izani Ismail, Ahmad; Aini Abdullah, Farah
2020
Existence, uniqueness and stability of implicit switched coupled fractional differential equations of $$\psi$$-Hilfer type. Zbl 07336601
2020
A short note on the determinant of a Sylvester-Kac type matrix. Zbl 07336603
da Fonseca, Carlos M.
2020
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
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
Sixth-kind Chebyshev spectral approach for solving fractional differential equations. Zbl 07048618
Abd-Elhameed, W. M.; Youssri, Y. H.
2019
Abundant lump solution and interaction phenomenon of (3+1)-dimensional generalized Kadomtsev-Petviashvili equation. Zbl 07020739
Lü, Jianqing; Bilige, Sudao; Gao, Xiaoqing
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
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
Global stability of nonlinear feedback systems with positive linear parts. Zbl 07168305
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
Application of the optimal auxiliary functions method to a permanent magnet synchronous generator. Zbl 07067956
Herisanu, N.; Marinca, V.; Madescu, G.
2019
Positive solutions for a semipositone singular Riemann-Liouville fractional differential problem. Zbl 07168392
Agarwal, Ravi P.; Luca, Rodica
2019
Existence results of mild solutions for impulsive fractional integrodifferential evolution equations with nonlocal conditions. Zbl 07020736
Zhang, Xuping; Gou, Haide; Li, Yongxiang
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
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
General decay synchronization for fuzzy cellular neural networks with time-varying delays. Zbl 07168303
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
Extended transformed rational function method to nonlinear evolution equations. Zbl 07168322
Yaşar, Emrullah; Yıldırım, Yakup; Adem, Abdullahi Rashid
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
Numerical treatment of the fractional modeling on susceptible-infected-recovered equations with a constant vaccination rate by using GEM. Zbl 07020742
2019
Fourth-order spatial and second-order temporal accurate compact scheme for Cahn-Hilliard equation. Zbl 07048613
Lee, Seunggyu
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
The multiplicity of solutions for a class of nonlinear fractional Dirichlet boundary value problems with $$p$$-Laplacian type via variational approach. Zbl 07067953
Li, Dongping; Chen, Fangqi; An, Yukun
2019
Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments. Zbl 07067960
2019
Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses. Zbl 1461.34014
2018
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
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
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
Numerical solutions of stochastic Volterra-Fredholm integral equations by hybrid Legendre block-pulse functions. Zbl 1401.65015
Saha Ray, S.; Singh, S.
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
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 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
RBFPUM with QR factorization for solving water flow problem in multilayered soil. Zbl 1401.76141
Sadik, Mohamed; Hassan Ben-Ahmed, El; Wakrim, Mohamed
2018
Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098
Sambath, M.; Ramesh, P.; Balachandran, 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
Positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems. Zbl 1401.93176
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
Solvability of anti-periodic BVPs for impulsive fractional differential systems involving Caputo and Riemann-Liouville fractional derivatives. Zbl 1401.34013
Liu, Yuji
2018
Numerical methods for the derivative nonlinear Schrödinger equation. Zbl 1401.65094
Li, Shu-Cun; Li, Xiang-Gui; Shi, Fang-Yuan
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
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
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
Global Mittag-Leffler synchronization for impulsive fractional-order neural networks with delays. Zbl 1401.34088
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
Pseudo almost periodicity and its applications to impulsive nonautonomous partial functional stochastic evolution equations. Zbl 1401.34025
Yan, Zuomao; Jia, Xiumei
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 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
Existence and uniqueness of classical and mild solutions of generalized impulsive evolution equation. Zbl 1461.34029
Shah, Vishant; George, Raju K.; Sharma, Jaita; Muthukumar, P.
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
Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation. Zbl 1401.82026
Sarıaydın-Filibelioğlu, Ayşe; Karasözen, Bülent; Uzunca, Murat
2017
A note on hidden transient chaos in the Lorenz system. Zbl 1401.37090
Yuan, Quan; Yang, Fang-Yan; Wang, Lei
2017
Rosenau-KdV equation coupling with the Rosenau-RLW equation: conservation laws and exact solutions. Zbl 1401.35274
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
Complete controllability of fractional impulsive multivalued stochastic partial integrodifferential equations with state-dependent delay. Zbl 1401.93040
Yan, Zuomao; Lu, Fangxia
2017
The Hermitian positive definite solution of the nonlinear matrix equation. Zbl 1401.15014
Zhang, Xindong; Feng, Xinlong
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
Existence results of mild solutions for impulsive fractional evolution equations with periodic boundary condition. Zbl 1401.34032
Li, Baolin; Gou, Haide
2017
Influence of the random system parameters on the nonlinear dynamic characteristics of gear transmission system. Zbl 1401.70037
Wang, Jingyue; Wang, Haotian; Wang, Huan; Guo, Lixin
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
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
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
Multiple-wave solutions to generalized bilinear equations in terms of hyperbolic and trigonometric solutions. Zbl 1401.35019
Ünsal, Ömer; Ma, Wen-Xiu; Zhang, Yujuan
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
An efficient wavelet-based collocation method for handling singularly perturbed boundary-value problems in fluid mechanics. Zbl 1401.65079
Shah, Firdous A.; Abass, Rustam
2017
Numerical analysis for heat transfer laws of a wet multi-disk clutch during transient contact. Zbl 1401.74279
Yang, Wei; Tang, Xiaolin
2017
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