## 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: 738 Publications (since 2000) References Indexed: 519 Publications with 15,505 References.
all top 5

### Latest Issues

 23, No. 5 (2022) 23, No. 3-4 (2022) 23, No. 2 (2022) 23, No. 1 (2022) 22, No. 7-8 (2021) 22, No. 6 (2021) 22, No. 5 (2021) 22, No. 3-4 (2021) 22, No. 2 (2021) 22, No. 1 (2021) 21, No. 7-8 (2020) 21, No. 6 (2020) 21, No. 5 (2020) 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

 178 Ordinary differential equations (34-XX) 172 Partial differential equations (35-XX) 167 Numerical analysis (65-XX) 158 Fluid mechanics (76-XX) 99 Mechanics of deformable solids (74-XX) 87 Biology and other natural sciences (92-XX) 82 Dynamical systems and ergodic theory (37-XX) 60 Systems theory; control (93-XX) 45 Mechanics of particles and systems (70-XX) 26 Real functions (26-XX) 21 Classical thermodynamics, heat transfer (80-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Integral equations (45-XX) 19 Difference and functional equations (39-XX) 19 Probability theory and stochastic processes (60-XX) 18 Operator theory (47-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Optics, electromagnetic theory (78-XX) 12 Information and communication theory, circuits (94-XX) 11 Statistics (62-XX) 11 Computer science (68-XX) 10 Approximations and expansions (41-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Operations research, mathematical programming (90-XX) 8 Quantum theory (81-XX) 7 Special functions (33-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Geophysics (86-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

364 Publications have been cited 2,414 times in 2,274 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
Lump-type solutions to the $$(3+1)$$-dimensional Jimbo-Miwa equation. Zbl 1401.35273
Ma, Wen-Xiu
2016
Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. III: Double series expansion. Zbl 1072.34507
He, Jihuan
2001
Variational theory for linear magneto-electro-elasticity. Zbl 1083.74526
He, Jihuan
2001
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
Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses. Zbl 1461.34014
2018
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
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
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
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
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
On the equivalence of mixed element formulations and the concept of reduced integration in large deformation problems. Zbl 1079.74057
Reese, Stefanie
2002
Exp-function method for fractional differential equations. Zbl 1401.35317
He, Ji-Huan
2013
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
$$L$$-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems. Zbl 1461.65206
Qureshi, Sania; Ramos, Higinio
2018
A note on Legendre polynomials. Zbl 1075.33502
Dattoli, Giuseppe; Ricci, Paolo E.; Cesarano, Clemente
2001
Numerical solution of singular patterns in one-dimensional Gray-Scott-like models. Zbl 1401.65101
Owolabi, Kolade M.; Patidar, Kailash C.
2014
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
Robust IMEX schemes for solving two-dimensional reaction-diffusion models. Zbl 1401.65100
2015
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
Variational iteration method for solving nonlinear differential-difference equations. Zbl 1401.65152
Mokhtari, Reza
2008
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
Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation. Zbl 1401.35276
Shen, Jianwei; Xu, Wei
2004
Convergence of the homotopy perturbation method. Zbl 1401.35024
Turkyilmazoglu, M.
2011
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
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
Construction of periodic solutions to partial differential equations with nonlinear boundary conditions. Zbl 0977.35031
Andrianov, Igor; Awrejcewicz, Jan
2000
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
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
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
A new simplified bilinear method for the $$N$$-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients. Zbl 1401.35263
2015
Homotopy perturbation pade technique for solving fractional Riccati differential equations. Zbl 1401.34011
Jafari, H.; Tajadodi, H.; Matikolai, S. A. Hosseini
2010
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
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
Stability analysis of a mathematical model for glioma-immune interaction under optimal therapy. Zbl 1464.92129
Khajanchi, Subhas
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
An alternative solution algorithm for the nonlinear generalized Emden-Fowler equation. Zbl 1072.34503
Khuri, S. A.
2001
Tri-integrable couplings by matrix loop algebras. Zbl 1401.37077
Ma, Wen-Xiu; Meng, Jinghan; Zhang, Huiqun
2013
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 classical variational model for micropolar elastodynamics. Zbl 0967.74008
He, Jihuan
2000
Analytical approach for the space-time nonlinear partial differential fractional equation. Zbl 1401.35310
Bekir, Ahmet; Güner, Özkan
2014
Solution of pattern waves for diffusive Fisher-like non-linear equations with adaptive methods. Zbl 1401.65076
Owolabi, Kolade M.; Patidar, Kailash C.
2016
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
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
Stability analysis of an SEIR epidemic model with stochastic perturbation and numerical simulation. Zbl 1401.92181
Fan, Xiaoming; Wang, Zhigang
2013
Positive solutions for a semipositone singular Riemann-Liouville fractional differential problem. Zbl 07168392
Agarwal, Ravi P.; Luca, Rodica
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
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
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
Sylvester-tridiagonal matrix with alternating main diagonal entries and its spectra. Zbl 1401.15033
Kılıç, Emrah
2013
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
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
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
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
Rosenau-KdV equation coupling with the Rosenau-RLW equation: conservation laws and exact solutions. Zbl 1401.35274
2017
Application of the optimal auxiliary functions method to a permanent magnet synchronous generator. Zbl 1476.37096
Herisanu, N.; Marinca, V.; Madescu, G.
2019
Existence of at least one homoclinic solution for a nonlinear second-order difference equation. Zbl 1476.39002
Bohner, Martin; Caristi, Giuseppe; Heidarkhani, Shapour; Moradi, Shahin
2019
Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098
Sambath, M.; Ramesh, P.; Balachandran, K.
2018
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
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 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
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
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
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
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
A Lévy based approach to random vector fields: with a view towards turbulence. Zbl 1401.76112
Hedevang, Emil; Schmiegel, Jürgen
2014
Switching design for the asymptotic stability and stabilization of nonlinear uncertain stochastic discrete-time systems. Zbl 1401.93218
Rajchakit, Grienggrai
2013
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
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
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
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
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
$$N$$-soliton solutions and the Hirota conditions in (1 + 1)-dimensions. Zbl 07533159
Ma, Wen-Xiu
2022
Limit cycles in a tritrophic food chain model with general functional responses. Zbl 07565160
Blé, Gamaliel; Loreto-Hernández, Iván
2022
Comparison of different time discretization schemes for solving the Allen-Cahn equation. Zbl 07565169
Ayub, Sana; Rauf, Abdul; Affan, Hira; Shah, Abdullah
2022
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions. Zbl 07412524
2021
The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs. Zbl 07412222
Manafian, Jalil; Ilhan, Onur Alp; Avazpour, Laleh
2021
A reliable numerical approach for nonlinear fractional optimal control problems. Zbl 07412521
Singh, Harendra; Pandey, Rajesh K.; Kumar, Devendra
2021
Periodic solutions for stochastic Cohen-Grossberg neural networks with time-varying delays. Zbl 07412217
Wu, Wanqin; Yang, Li; Ren, Yaping
2021
A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument. Zbl 07412223
Ali, Khalid K.; Abd El salam, Mohamed A.; Mohamed, Emad M. H.
2021
Wavelet-optimized compact finite difference method for convection-diffusion equations. Zbl 07412243
Mehra, Mani; Patel, Kuldip Singh; Shukla, Ankita
2021
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
The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations. Zbl 07412246
Tan, Wei; Yin, Zhao-Yang
2021
Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators. Zbl 07486819
Gürbüz, Ferit; Ding, Shenghu; Han, Huili; Long, Pinhong
2021
Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique. Zbl 07486821
2021
Existence and uniqueness of solutions of nonlinear fractional order problems via a fixed point theorem. Zbl 07486823
Ahmadi, Zahra; Lashkaripour, Rahmatollah; Baghani, Hamid; Heidarkhani, Shapour
2021
Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps. Zbl 07486832
Ahmed, Hamdy M.; El-Borai, Mahmoud M.; Ramadan, Mohamed E.
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
Existence, uniqueness and stability of implicit switched coupled fractional differential equations of $$\psi$$-Hilfer type. Zbl 07336601
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
The functional variable method to find new exact solutions of the nonlinear evolution equations with dual-power-law nonlinearity. Zbl 07336594
2020
The dynamical behavior of mixed type lump solutions on the $$(3 + 1)$$-dimensional generalized Kadomtsev-Petviashvili-Boussinesq equation. Zbl 07446859
2020
Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps. Zbl 07446866
Saravanakumar, Subramaniam; Balasubramaniam, Pagavathigounder
2020
Soliton solutions for some nonlinear partial differential equations in mathematical physics using He’s variational method. Zbl 07201329
Elboree, Mohammed K.
2020
A short note on the determinant of a Sylvester-Kac type matrix. Zbl 07336603
da Fonseca, Carlos M.
2020
Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation. Zbl 07446861
El-Shiekh, Rehab M.; Gaballah, Mahmoud
2020
Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions. Zbl 07446873
Liu, Chein-Shan; Chang, Jiang-Ren
2020
Rational type inequality with applications to Voltera-Hammerstein nonlinear integral equations. Zbl 07446841
2020
Analysis of a new class of impulsive implicit sequential fractional differential equations. Zbl 07446851
Zada, Akbar; Ali, Sartaj; Li, Tongxing
2020
A meshfree numerical technique based on radial basis function pseudospectral method for Fisher’s equation. Zbl 07168434
Arora, Geeta; Bhatia, Gurpreet Singh
2020
Transient simulation of natural gas network by hybrid Taguchi binary genetic algorithm. Zbl 1462.76146
2020
Weak solutions for fractional differential equations via Henstock-Kurzweil-Pettis integrals. Zbl 07201328
Gou, Haide; Li, Yongxiang
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
A study on impulsive Hilfer fractional evolution equations with nonlocal conditions. Zbl 07201334
Gou, Haide; Li, Yongxiang
2020
Mathematical study of a class of epidemiological models with multiple infectious stages. Zbl 07336595
Bowong, S.; Temgoua, A.; Malong, Y.; Mbang, J.
2020
Analysis of a non-integer order model for the coinfection of HIV and HSV-2. Zbl 07336598
Pinto, Carla M. A.; Carvalho, Ana R. M.
2020
Constrained optimal control of a fractionally damped elastic beam. Zbl 1462.49054
Eroğlu, Beyza Billur İskender; Avcı, Derya; Özdemir, Necati
2020
Lyapunov stability of a fractionally damped oscillator with linear (anti-)damping. Zbl 07446838
Hinze, Matthias; Schmidt, André; Leine, Remco I.
2020
Measure-valued solutions to a non-strictly hyperbolic system with delta-type Riemann initial data. Zbl 07446843
Li, Shuangrong; Shen, Chun
2020
On the dynamics and control of fractional chaotic maps with sine terms. Zbl 07446852
Gasri, Ahlem; Ouannas, Adel; Khennaoui, Amina-Aicha; Bendoukha, Samir; Pham, Viet-Thanh
2020
Derivative free iterative methods with memory having higher R-order of convergence. Zbl 07446856
2020
A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation. Zbl 07446860
2020
On the behaviors of rough multilinear fractional integral and multi-sublinear fractional maximal operators both on product $$L^p$$ and weighted $$L^p$$ spaces. Zbl 07446865
Gürbüz, Ferit
2020
Lie symmetry analysis and similarity solutions for the Jimbo-Miwa equation and generalisations. Zbl 07446870
Halder, Amlan K.; Paliathanasis, Andronikos; Seshadri, Rajeswari; Leach, Peter G. L.
2020
Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays. Zbl 07446874
Fu, Xiangying; Kong, Fanchao
2020
Optical solitons and stability analysis for the generalized second-order nonlinear Schrödinger equation in an optical fiber. Zbl 07446878
Raza, Nauman; Arshed, Saima; Javid, Ahmad
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
Sixth-kind Chebyshev spectral approach for solving fractional differential equations. Zbl 07048618
Abd-Elhameed, W. M.; Youssri, Y. H.
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
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
Positive solutions for a semipositone singular Riemann-Liouville fractional differential problem. Zbl 07168392
Agarwal, Ravi P.; Luca, Rodica
2019
Application of the optimal auxiliary functions method to a permanent magnet synchronous generator. Zbl 1476.37096
Herisanu, N.; Marinca, V.; Madescu, G.
2019
Existence of at least one homoclinic solution for a nonlinear second-order difference equation. Zbl 1476.39002
Bohner, Martin; Caristi, Giuseppe; Heidarkhani, Shapour; Moradi, Shahin
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
General decay synchronization for fuzzy cellular neural networks with time-varying delays. Zbl 07168303
2019
Global stability of nonlinear feedback systems with positive linear parts. Zbl 07168305
2019
Existence theory and stability analysis of fractional Langevin equation. Zbl 07168393
Rizwan, Rizwan
2019
Chaotic contact dynamics of two microbeams under various kinematic hypotheses. Zbl 1476.74070
Krysko, V. A.; Awrejcewicz, J.; Papkova, I. V.; Saltykova, O. A.; Krysko, A. V.
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
Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments. Zbl 1476.35305
2019
Monotone iterative technique for periodic boundary value problem of fractional differential equation in Banach spaces. Zbl 07168307
Chen, Pengyu; Kong, Yibo
2019
Non-linear frequency response and stability analysis of piezoelectric nanoresonator subjected to electrostatic excitation. Zbl 07168308
Hashemi Kachapi, Sayyid H.; Dardel, Morteza; Mohamadi Daniali, Hamidreza; Fathi, Alireza
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
Lie symmetries, one-dimensional optimal system and group invariant solutions for the Ripa system. Zbl 07168324
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
A Riccati-Bernoulli sub-ODE method for some nonlinear evolution equations. Zbl 1476.35238
Hassan, S. Z.; Abdelrahman, Mahmoud A. E.
2019
New conditions and numerical checking method for the practical stability of fractional order positive discrete-time linear systems. Zbl 1476.39010
Yang, Hongli; Jia, Yuexiao
2019
Stability and bifurcation analysis in a discrete-time SIR epidemic model with fractional-order. Zbl 1476.92043
El-Shahed, Moustafa; Abdelstar, Ibrahim M. E.
2019
Limits of solutions to the isentropic Euler equations for van der Waals gas. Zbl 1476.35140
Wang, Jinhuan; Pang, Yicheng; Zhang, Yu
2019
Results on controllability of nonlinear Hilfer fractional stochastic system. Zbl 1476.93082
Priyadharsini, J.; Sathiyaraj, T.; Balasubramaniam, P.
2019
Existence results of mild solutions for impulsive fractional integrodifferential evolution equations with nonlocal conditions. Zbl 07020736
Zhang, Xuping; Gou, Haide; Li, Yongxiang
2019
The fractional Chua chaotic system: dynamics, synchronization, and application to secure communications. Zbl 07020743
Bendoukha, Samir; Abdelmalek, Salem
2019
An efficient algorithm based on extrapolation for the solution of nonlinear parabolic equations. Zbl 07168301
Ghasemi, M.
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
Approximation of $$p$$-biharmonic problem using WEB-spline based mesh-free method. Zbl 07168323
Rajashekar, Naraveni; Chaudhary, Sudhakar; Srinivas Kumar, V. V. K.
2019
On the numerical computation of the Mittag-Leffler function. Zbl 07168325
Ortigueira, Manuel D.; Lopes, António M.; Tenreiro Machado, José
2019
Effects of additional food on the dynamics of a three species food chain model incorporating refuge and harvesting. Zbl 1464.92232
Panja, Prabir; Jana, Soovoojeet; Mondal, Shyamal Kumar
2019
Dynamical behaviors of a fractional-order predator-prey model with Holling type IV functional response and its discretization. Zbl 07048612
Yousef, A. M.; Rida, S. Z.; Gouda, Y. Gh.; Zaki, A. S.
2019
Fourth-order spatial and second-order temporal accurate compact scheme for Cahn-Hilliard equation. Zbl 07048613
Lee, Seunggyu
2019
Dynamic analysis of a composite structure under random excitation based on the spectral element method. Zbl 07048617
Machado, M. R.; Khalij, L.; Fabro, A. T.
2019
Numerical solution of space and time fractional telegraph equation: a meshless approach. Zbl 1476.65264
Bansu, Hitesh; Kumar, Sushil
2019
The multiplicity of solutions for a class of nonlinear fractional Dirichlet boundary value problems with $$p$$-Laplacian type via variational approach. Zbl 1476.34074
Li, Dongping; Chen, Fangqi; An, Yukun
2019
Optimal thrust programming along the brachistochronic trajectory with non-linear drag. Zbl 1462.49061
Cherkasov, Oleg; Zarodnyuk, Alena; Smirnova, Nina
2019
Numerical treatment of the fractional modeling on susceptible-infected-recovered equations with a constant vaccination rate by using GEM. Zbl 07020742
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
$$L$$-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems. Zbl 1461.65206
Qureshi, Sania; Ramos, Higinio
2018
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
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
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
Asymptotic behavior of the fractional order three species prey-predator model. Zbl 1461.92098
Sambath, M.; Ramesh, P.; Balachandran, K.
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
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
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
RBFPUM with QR factorization for solving water flow problem in multilayered soil. Zbl 1401.76141
Sadik, Mohamed; Hassan Ben-Ahmed, El; Wakrim, Mohamed
2018
Global Mittag-Leffler synchronization for impulsive fractional-order neural networks with delays. Zbl 1401.34088
2018
Numerical methods for the derivative nonlinear Schrödinger equation. Zbl 1401.65094
Li, Shu-Cun; Li, Xiang-Gui; Shi, Fang-Yuan
2018
...and 264 more Documents
all top 5

### Cited by 3,347 Authors

 180 Chaos, Solitons and Fractals 140 Computers & Mathematics with Applications 113 Applied Mathematics and Computation 85 Mathematical Problems in Engineering 75 Advances in Difference Equations 71 International Journal of Nonlinear Sciences and Numerical Simulation 70 Nonlinear Dynamics 63 International Journal of Computer Mathematics 55 Numerical Methods for Partial Differential Equations 54 Abstract and Applied Analysis 49 International Journal of Applied and Computational Mathematics 38 Applied Mathematical Modelling 37 Journal of Applied Mathematics 34 Mathematical Methods in the Applied Sciences 30 Communications in Nonlinear Science and Numerical Simulation 29 Engineering Analysis with Boundary Elements 24 Journal of Computational and Applied Mathematics 23 Advances in Mathematical Physics 22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 21 Applied Mathematics and Mechanics. (English Edition) 20 Journal of Computational Physics 20 Physica A 20 Complexity 20 AIMS Mathematics 19 Computational and Applied Mathematics 19 International Journal of Numerical Methods for Heat & Fluid Flow 17 Journal of Applied Mathematics and Computing 17 Journal of Function Spaces 16 Acta Mechanica 14 International Journal for Numerical Methods in Engineering 14 Mathematics and Computers in Simulation 14 Fractals 13 Meccanica 13 Journal of the Egyptian Mathematical Society 13 International Journal of Biomathematics 12 Journal of the Franklin Institute 12 Acta Applicandae Mathematicae 12 Discrete Dynamics in Nature and Society 12 International Journal of Differential Equations 12 International Journal for Numerical Methods in Biomedical Engineering 11 Boundary Value Problems 11 Discrete and Continuous Dynamical Systems. Series S 11 AMM. Applied Mathematics and Mechanics. (English Edition) 10 Applicable Analysis 10 Computers and Fluids 10 Applied Numerical Mathematics 10 Archive of Applied Mechanics 10 Journal of Applied Analysis and Computation 9 Computer Methods in Applied Mechanics and Engineering 9 Mathematical and Computer Modelling 9 Computational Mathematics and Modeling 9 Journal of Mathematical Chemistry 8 Numerical Algorithms 8 European Journal of Mechanics. A. Solids 8 Nonlinear Analysis. Real World Applications 8 Waves in Random and Complex Media 8 Advances in Applied Mathematics and Mechanics 8 Science China. Technological Sciences 7 International Journal for Numerical Methods in Fluids 7 Journal of Mathematical Analysis and Applications 7 Applied Mathematics Letters 7 Filomat 7 Journal of Applied Mechanics and Technical Physics 7 Nonlinear Analysis. Modelling and Control 7 Inverse Problems in Science and Engineering 7 Journal of Applied Nonlinear Dynamics 6 International Journal of Modern Physics B 6 International Journal of Theoretical Physics 6 Journal of Engineering Mathematics 6 Journal of Mathematical Physics 6 Journal of Geometry and Physics 6 Qualitative Theory of Dynamical Systems 6 Fixed Point Theory and Applications 6 Acta Mechanica Sinica 6 Computational Methods for Differential Equations 5 Stochastic Analysis and Applications 5 Computational Mechanics 5 Journal of Inequalities and Applications 5 Chaos 5 International Journal of Applied Mathematics and Computer Science 5 Iranian Journal of Science and Technology. Transaction A: Science 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Asian-European Journal of Mathematics 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 Reports on Mathematical Physics 4 Mechanics Research Communications 4 Studies in Applied Mathematics 4 Communications in Numerical Methods in Engineering 4 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 4 Entropy 4 Boletim da Sociedade Paranaense de Matemática. Terceira Série 4 Applications and Applied Mathematics 4 Arabian Journal of Mathematics 4 Open Mathematics 3 Computer Physics Communications 3 International Journal of Heat and Mass Transfer ...and 217 more Journals