## Applied Mathematics Letters

### An International Journal of Rapid Publication

 Short Title: Appl. Math. Lett. Publisher: Elsevier (Pergamon), Oxford ISSN: 0893-9659 Online: http://www.sciencedirect.com/science/journal/08939659 Comments: Indexed cover-to-cover
 Documents Indexed: 7,800 Publications (since 1988) References Indexed: 7,660 Publications with 98,304 References.
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### Authors

 68 Agarwal, Ravi P. 47 O’Regan, Donal 46 Ramm, Alexander G. 41 Srivastava, Hari Mohan 36 Jódar Sanchez, Lucas Antonio 31 Debnath, Lokenath 30 Fan, Jishan 25 Dress, Andreas W. M. 25 Zhou, Yong 24 Noor, Muhammad Aslam 23 Verma, Ram U. 22 Yao, Jen-Chih 21 Huang, Nan-Jing 19 Banks, Harvey Thomas 19 Wazwaz, Abdul-Majid Abdul-Rahman 18 Adomian, George 18 Ge, Weigao 18 Liu, Chein-Shan 18 Steel, Michael Anthony 17 Argyros, Ioannis Konstantinos 17 Dragomir, Sever Silvestru 17 Tian, Bo 16 Grace, Said Rezk 16 Rakotoson, Jean-Michel 16 Tang, Xianhua 16 Wu, Yonghong 16 Zhang, Xinguang 15 Li, Wan-Tong 15 Savaş, Ekrem 14 Jiang, Daqing 14 Liu, Meng 14 Owa, Shigeyoshi 13 Adam, John A. 13 Anastassiou, George Angelos 13 Çanak, İbrahim 13 Ding, Jiu 13 Huang, Lihong 13 Huang, Ting-Zhu 13 Kaiser, Mark J. 13 Lee, Byung Soo 13 Quintanilla de Latorre, Ramón 13 Wang, Mingxin 13 Yeh, Cheh-Chih 13 Zafer, Ağacık 12 Berezansky, Leonid M. 12 Kudryashov, Nikolaĭ Alekseevich 12 Liu, Lishan 12 Shaikhet, Leonid Efimovich 12 Vaidyanathan, Sundarapandian 11 Ahmad, Bashir 11 Cho, Yeol Je 11 Ding, Xie Ping 11 Graef, John R. 11 Kong, Lingju 11 Luo, Zhiguo 11 Ma, Wen-Xiu 11 Nieto Roig, Juan Jose 11 Papageorgiou, Nikolaos S. 11 Pituk, Mihály 11 Rach, Randolph C. 11 Shen, Jianhua 11 Shi, Dongyang 11 Temam, Roger Meyer 11 Tewarson, Reginald P. 11 Tian, Shoufu 11 Torregrosa Sanchez, Juan Ramón 11 Vong, Seakweng 11 Wang, Ke 11 Wong, Fu-Hsiang 10 Aouf, Mohamed Kamal 10 Bellomo, Nicola 10 Chen, Caisheng 10 Cheng, Sui Sun 10 Cortés López, Juan Carlos 10 Diblík, Josef 10 Gao, Yitian 10 Gupta, Arjun Kumar 10 Gutman, Ivan M. 10 Henderson, Johnny Lee 10 Imomnazarov, Kholmatzhon Khudainazarovich 10 Jung, Soon-Mo 10 Lee, Gue Myung 10 Liu, Bingwen 10 Llibre, Jaume 10 Ma, Ruyun 10 Polyanin, Andrei Dmitrievich 10 Rădulescu, Vicenţiu D. 10 Stević, Stevo 10 Wang, Peiguang 10 Wu, Shanhe 10 Zhang, Tiantian 10 Zhu, Mingxuan 9 Al-saedi, Ahmed Eid Salem 9 Ashrafi, Ali Reza 9 Boyd, John Philip 9 Braverman, Elena 9 Chaplain, Mark A. J. 9 Chen, Haibo 9 Chen, Yong 9 Duan, Jinqiao ...and 8,878 more Authors
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### Citations contained in zbMATH Open

6,197 Publications have been cited 59,540 times in 42,397 Documents Cited by Year
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2000
Certain subclasses of analytic and bi-univalent functions. Zbl 1201.30020
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2010
Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes. Zbl 1063.34044
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2003
Boundary value problem for a coupled system of nonlinear fractional differential equations. Zbl 1163.34321
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2009
Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. Zbl 0938.26012
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The fundamental solutions for the fractional diffusion-wave equation. Zbl 0879.35036
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General variational inequalities. Zbl 0655.49005
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New subclasses of bi-univalent functions. Zbl 1218.30024
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2011
General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031
Lakshmikantham, V.; Vatsala, A. S.
2008
Positive solutions for a nonlinear nonlocal elliptic transmission problem. Zbl 1135.35330
Ma, To-Fu; Muñoz Rivera, J. E.
2003
Uniqueness of solution for boundary value problems for fractional differential equations. Zbl 1329.34005
Cui, Yujun
2016
Existence of a positive solution to a class of fractional differential equations. Zbl 1204.34007
Goodrich, Christopher S.
2010
Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions. Zbl 1171.26305
Jumarie, Guy
2009
A generalized differential transform method for linear partial differential equations of fractional order. Zbl 1132.35302
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Common fixed point for generalized $$(\psi ,\varphi )$$-weak contractions. Zbl 1203.54040
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2009
Hyers-Ulam stability of linear differential equations of first order. Zbl 1061.34039
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2004
Coefficient estimates for a certain subclass of analytic and bi-univalent functions. Zbl 1244.30033
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2012
Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Zbl 1022.34044
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2002
Hyers-Ulam stability of linear differential equations of first order. II. Zbl 1125.34328
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2006
Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems. Zbl 1171.65449
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2009
Existence and uniqueness of a common fixed point on partial metric spaces. Zbl 1230.54032
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2011
Fixed point theory for cyclic weak $$\phi$$-contraction. Zbl 1256.54073
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2011
A fixed-point theorem of Krasnoselskii. Zbl 1127.47318
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On the fractional-order logistic equation. Zbl 1140.34302
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2007
Some new variants of Newton’s method. Zbl 1065.65067
Özban, A. Y.
2004
Fixed point theory for generalized $$\varphi$$-weak contractions. Zbl 1163.47304
Zhang, Qingnian; Song, Yisheng
2009
Fixed point theorems for operators on partial metric spaces. Zbl 1229.54056
Karapınar, Erdal; Erhan, İnci M.
2011
An existence result for the generalized vector equilibrium problem. Zbl 1014.49008
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1999
Exponential stability for the Timoshenko system with two weak dampings. Zbl 1072.74033
Raposo, Carlos Alberto; Ferreira, Jorge; Santos, Mauro Lima; Castro, N. N. O.
2005
On pulse vaccination strategy in the SIR epidemic model with vertical transmission. Zbl 1064.92041
d’Onofrio, Alberto
2005
Global properties for virus dynamics model with Beddington-DeAngelis functional response. Zbl 1178.37125
Huang, Gang; Ma, Wanbiao; Takeuchi, Yasuhiro
2009
On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129
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1990
Adjacent strong edge coloring of graphs. Zbl 1008.05050
Zhang, Zhongfu; Liu, Linzhong; Wang, Jianfang
2002
The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium. Zbl 1320.35007
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong
2014
A Lyapunov function for Leslie-Gower predator-prey models. Zbl 0999.92036
Korobeinikov, A.
2001
Positive solutions for second-order three-point boundary value problems. Zbl 0989.34009
Ma, Ruyun
2001
Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. Zbl 1062.65075
Simos, T. E.
2004
Fixed and periodic point results in cone metric spaces. Zbl 1167.54014
Abbas, Mujahid; Rhoades, B. E.
2009
Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions. Zbl 1246.30018
Ali, Rosihan M.; Lee, See Keong; Ravichandran, V.; Supramaniam, Shamani
2012
Three symmetric positive solutions for a second-order boundary value problem. Zbl 0961.34014
Avery, R. I.; Henderson, J.
2000
General convergence analysis for two-step projection methods and applications to variational problems. Zbl 1099.47054
Verma, Ram U.
2005
Inequalities for differentiable mappings with application to special means and quadrature formulæ. Zbl 0970.26016
Pearce, C. E. M.; Pečarić, J.
2000
Impulsive resonance periodic problems of first order. Zbl 1022.34025
Nieto, J. J.
2002
Global stability of an SIR epidemic model with time delay. Zbl 1071.34082
Ma, Wanbiao; Song, Mei; Takeuchi, Y.
2004
Remarks on some relationships between the Bernoulli and Euler polynomials. Zbl 1070.33012
Srivastava, H. M.; Pintér, Á.
2004
Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations. Zbl 1214.34007
Rehman, Mujeeb Ur; Khan, Rahmat Ali
2010
An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate. Zbl 1163.76318
Marinca, Vasile; Herişanu, Nicolae; Bota, Constantin; Marinca, Bogdan
2009
Fixed point and common fixed point theorems on ordered cone metric spaces. Zbl 1197.54052
Altun, Ishak; Damjanović, Boško; Djorić, Dragan
2010
$$H$$-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces. Zbl 1056.49012
Fang, Ya-Ping; Huang, Nan-Jing
2004
Maximum principles for fractional differential equations derived from Mittag-Leffler functions. Zbl 1202.34019
Nieto, Juan J.
2010
Extended general variational inequalities. Zbl 1163.49303
2009
Existence of nontrivial solutions of a rational difference equation. Zbl 1131.39009
Stević, Stevo
2007
Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. Zbl 1244.34008
Wang, Guotao; Agarwal, Ravi P.; Cabada, Alberto
2012
On the recursive sequence $$x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}$$. Zbl 1152.39012
Stević, Stevo
2008
Chaos in King’s iterative family. Zbl 1370.37155
Cordero, Alicia; García-Maimó, Javier; Torregrosa, Juan R.; Vassileva, Maria P.; Vindel, Pura
2013
On positive solutions of a ($$k+1$$)th order difference equation. Zbl 1095.39010
Stević, Stevo
2006
Global behavior of an SEIRS epidemic model with time delays. Zbl 1015.92033
Wang, Wendi
2002
The operational matrix of fractional integration for shifted Chebyshev polynomials. Zbl 1255.65147
Bhrawy, A. H.; Alofi, A. S.
2013
Positive solutions of a nonlinear $$n$$th order boundary value problem with nonlocal conditions. Zbl 1074.34022
Eloe, Paul W.; Ahmad, Bashir
2005
A general modulus-based matrix splitting method for linear complementarity problems of $$H$$-matrices. Zbl 1311.65071
Li, Wen
2013
The threshold of a stochastic SIRS epidemic model with saturated incidence. Zbl 1314.92174
Zhao, Yanan; Jiang, Daqing
2014
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions. Zbl 1003.65081
Simos, T. E.
2002
Slow decay for one-dimensional porous dissipation elasticity. Zbl 1040.74023
Quintanilla, R.
2003
Calculus of variations with fractional derivatives and fractional integrals. Zbl 1183.26005
Almeida, Ricardo; Torres, Delfim F. M.
2009
Finite time stability of fractional delay differential equations. Zbl 1354.34130
Li, Mengmeng; Wang, JinRong
2017
On the uniqueness of solutions for a class of fractional differential equations. Zbl 1376.34014
Zou, Yumei; He, Guoping
2017
On the representation of fractional Brownian motion as an integral with respect to $$(dt)^a$$. Zbl 1082.60029
Jumarie, Guy
2005
Positive solutions for eigenvalue problems of fourth-order elastic beam equations. Zbl 1072.34022
Yao, Qingliu
2004
Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion. Zbl 1364.35429
Zhang, Xinguang; Liu, Lishan; Wu, Yonghong; Wiwatanapataphee, B.
2017
$$S$$-asymptotically $$\omega$$-periodic solutions of semilinear fractional integro-differential equations. Zbl 1176.47035
Cuevas, Claudio; De Souza, Julio César
2009
Operator splitting methods for American option pricing. Zbl 1063.65081
Ikonen, S.; Toivanen, J.
2004
Quasi-contraction on a cone metric space. Zbl 1179.54060
Ilić, Dejan; Rakočević, Vladimir
2009
Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process. Zbl 1256.47044
Cho, Sun Young; Kang, Shin Min
2011
The method of lower and upper solutions for mixed fractional four-point boundary value problem with $$p$$-Laplacian operator. Zbl 1357.34018
Liu, Xiping; Jia, Mei; Ge, Weigao
2017
A two-phase model of solid tumour growth. Zbl 1040.92015
Byrne, H. M.; King, J. R.; McElwain, D. L. S.; Preziosi, L.
2003
A generalized statistical convergence via ideals. Zbl 1220.40004
Savas, Ekrem; Das, Pratulananda
2011
On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives. Zbl 1319.34017
Wang, JinRong; Zhang, Yuruo
2015
Iterative solution of the Lyapunov matrix equation. Zbl 0631.65037
Wachspress, Eugene L.
1988
On generalizations of certain summability methods using ideals. Zbl 1223.40004
Das, Pratulananda; Savas, Ekrem; Ghosal, Sanjoy Kr.
2011
An existence result for a superlinear fractional differential equation. Zbl 1200.34004
Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P.
2010
Stable periodic solutions in a discrete periodic logistic equation. Zbl 1049.39017
Zhou, Zhan; Zou, Xingfu
2003
Laplace transform and fractional differential equations. Zbl 1238.34013
Kexue, Li; Jigen, Peng
2011
Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation. Zbl 1475.45020
Vanterler da C. Sousa, J.; de Oliveira, E. Capelas
2018
A new extension of $$q$$-Euler numbers and polynomials related to their interpolation functions. Zbl 1152.11009
Özden, Hacer; Simsek, Yilmaz
2008
A note on the equivalence of some metric and cone metric fixed point results. Zbl 1213.54067
2011
Critical variable exponent functionals in image restoration. Zbl 1260.94012
Harjulehto, P.; Hästö, P.; Latvala, V.; Toivanen, O.
2013
Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay. Zbl 1355.35196
Zhu, Bo; Liu, Lishan; Wu, Yonghong
2016
A 3(2) pair of Runge-Kutta formulas. Zbl 0705.65055
Bogacki, P.; Shampine, L. F.
1989
Note on the compressible Euler equations with zero temperature. Zbl 0986.76079
Li, Jiequan
2001
Almost automorphic solutions to a class of semilinear fractional differential equations. Zbl 1192.34006
Cuevas, Claudio; Lizama, Carlos
2008
Korovkin type approximation theorems obtained through generalized statistical convergence. Zbl 1206.40003
Edely, Osama H. H.; Mohiuddine, S. A.; Noman, Abdullah K.
2010
Adaptive dynamics and evolutionary stability. Zbl 0709.92015
Hofbauer, J.; Sigmund, K.
1990
Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. Zbl 1201.34008
Deng, Jiqin; Ma, Lifeng
2010
Hyers-Ulam stability of linear differential equations of first order. Zbl 1159.34041
Wang, Guangwa; Zhou, Mingru; Sun, Li
2008
Some new extensions of Banach’s contraction principle to partial metric space. Zbl 1292.54025
2011
Convergence of a modified Halpern-type iteration algorithm for quasi-$$\phi$$-nonexpansive mappings. Zbl 1179.65061
Qin, Xiaolong; Cho, Yeol Je; Kang, Shin Min; Zhou, Haiyun
2009
Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations. Zbl 1244.34009
Zhang, Xinguang; Han, Yuefeng
2012
Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and for some numerical quadrature rules. Zbl 1072.26500
Dragomir, S. S.; Wang, S.
1998
Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching. Zbl 1343.60095
Zhang, Xinhong; Jiang, Daqing; Alsaedi, Ahmed; Hayat, Tasawar
2016
Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions. Zbl 1387.34014
Zhang, Xingqiu
2015
A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading. Zbl 07443302
Qu, Wenzhen; He, Hua
2022
Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system. Zbl 1491.76013
Gao, Xiao-Tian; Tian, Bo
2022
A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity. Zbl 07413926
Lee, Hyun Geun
2022
Generalizations of the constrained Mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation. Zbl 1487.65016
Dell&rsquo;Accio, Francesco; Di Tommaso, Filomena; Nudo, Federico
2022
Analysis of a hidden memory variably distributed-order space-fractional diffusion equation. Zbl 07443282
Jia, Jinhong; Wang, Hong
2022
A homotopy method for solving multilinear systems with strong completely positive tensors. Zbl 1489.65063
Yan, Jin-Chang; Xu, Yang; Huang, Zheng-Hai
2022
A strong maximum principle for the fractional $$( p , q )$$-Laplacian operator. Zbl 1484.35099
Ambrosio, Vincenzo
2022
Solution of a fractional logistic ordinary differential equation. Zbl 1480.34011
Nieto, Juan J.
2022
Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal $$\mathcal{PT}$$ symmetric nonlinear Schrödinger equation. Zbl 1490.35457
Wang, Xin; Wei, Jiao
2022
Lie group analysis for a higher-order Boussinesq-Burgers system. Zbl 1491.35010
Liu, Fei-Yan; Gao, Yi-Tian
2022
Bäcklund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation. Zbl 1487.35341
Dong, Suyalatu; Lan, Zhong-Zhou; Gao, Bo; Shen, Yujia
2022
The eigenvalue problem of a singular $$k$$-Hessian equation. Zbl 1479.35590
Zhang, Xinguang; Xu, Pengtao; Wu, Yonghong
2022
A kernel regression approach for identification of first order differential equations based on functional data. Zbl 1490.34021
Li, X. Y.; Wu, B. Y.
2022
Multiple solutions for critical Kirchhoff-Poisson systems in the Heisenberg group. Zbl 1484.35365
Liang, Sihua; Pucci, Patrizia
2022
A modified finite volume element method for solving the phase field Allen-Cahn model. Zbl 07478986
Li, Huanrong; Wang, Dongmei
2022
Fast algorithm for nonlocal Allen-Cahn equation with scalar auxiliary variable approach. Zbl 07478993
Yao, Changhui; Fan, Huijun; Zhao, Yanmin; Shi, Yanhua; Wang, Fenling
2022
A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier. Zbl 07479000
Kwak, Soobin; Yang, Junxiang; Kim, Junseok
2022
Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index. Zbl 1490.35425
Kudryashov, Nikolay A.
2022
New efficient and unconditionally energy stable schemes for the Cahn-Hilliard-Brinkman system. Zbl 07479025
Zheng, Nan; Li, Xiaoli
2022
Pointwise-in-time a posteriori error control for time-fractional parabolic equations. Zbl 07413917
Kopteva, Natalia
2022
Stationary distribution of a stochastic vegetation-water system with reaction-diffusion. Zbl 1472.92256
Pan, Shiliang; Zhang, Qimin; Meyer-Baese, Anke
2022
Traveling wave solutions for nonlocal dispersal Fisher-KPP model with age structure. Zbl 1472.92242
Tian, Xuan; Guo, Shangjiang
2022
Type $$( - \lambda, - \lambda^\ast)$$ reduced nonlocal integrable mKdV equations and their soliton solutions. Zbl 07523674
Ma, Wen-Xiu
2022
Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations. Zbl 07534428
Cen, Dakang; Wang, Zhibo
2022
Further results on eigenvalues of symmetric decomposable tensors from multilinear dynamical systems. Zbl 07534454
Chen, Haibin; Li, Mengzhen; Yan, Hong; Zhou, Guanglu
2022
RBFCUB: a numerical package for near-optimal meshless cubature on general polygons. Zbl 1487.65028
Cavoretto, Roberto; De Rossi, Alessandra; Sommariva, Alvise; Vianello, Marco
2022
Optimal impulsive harvesting strategy of a stochastic Gompertz model in periodic environments. Zbl 1478.92169
Wang, Zhaojuan; Liu, Meng
2022
A high-precision numerical approach to solving space fractional Gray-Scott model. Zbl 07443237
Han, Che; Wang, Yu-Lan; Li, Zhi-Yuan
2022
Adaptive scaling damped BFGS method without gradient Lipschitz continuity. Zbl 1482.90175
Yuan, Gonglin; Zhang, Mengxiang; Zhou, Yingjie
2022
Some remarks on uniqueness of positive solutions to Kirchhoff type equations. Zbl 1480.35233
Wu, Ke; Zhou, Fen; Gu, Guangze
2022
Stationary distribution of a stochastic predator-prey model with hunting cooperation. Zbl 07443301
Qi, Haokun; Meng, Xinzhu; Hayat, Tasawar; Hobiny, Aatef
2022
Error estimate of a stabilized second-order linear predictor-corrector scheme for the Swift-Hohenberg equation. Zbl 07478978
Qi, Longzhao; Hou, Yanren
2022
Whitham modulation theory of the defocusing AB system and its application. Zbl 1484.35022
Gong, Ruizhi; Wang, Deng-Shan
2022
Existence and multiplicity solutions for discrete Kirchhoff type problems. Zbl 1484.39006
Long, Yuhua; Deng, Xiaoqing
2022
Inverse scattering transform of the general three-component nonlinear Schrödinger equation and its multisoliton solutions. Zbl 1490.35462
Yu, Zong-Bing; Zhu, Chenghao; Zhao, Jian-Shi; Zou, Li
2022
A convective boundary condition for the Navier-Stokes equations. Zbl 07479009
Simon, John Sebastian H.; Notsu, Hirofumi
2022
Semi-discretized numerical solution for time fractional convection-diffusion equation by RBF-FD. Zbl 07479011
Liu, Juan; Zhang, Juan; Zhang, Xindong
2022
Steady-state bifurcation of a nonlinear boundary problem. Zbl 1484.35033
Wei, Dan; Guo, Shangjiang
2022
Error estimations in the balanced norm of finite element method on Bakhvalov-Shishkin triangular mesh for reaction-diffusion problems. Zbl 07413918
Liu, Xiaowei; Yang, Min
2022
Oscillation tests for difference equations with non-monotone retarded arguments. Zbl 1476.39012
Attia, Emad R.; Chatzarakis, George E.
2022
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz-Ladik equations with branched dispersion. Zbl 1476.35083
Wen, Xiao-Yong; Yuan, Cui-Lian
2022
Singular value decomposition of third order quaternion tensors. Zbl 1486.65040
Qin, Zhenzhi; Ming, Zhenyu; Zhang, Liping
2022
Pattern formation of a biomass-water reaction-diffusion model. Zbl 1476.35034
Lei, Chengxia; Zhang, Guanghui; Zhou, Jialin
2022
Existence ground state solutions for a quasilinear Schrödinger equation with Hardy potential and Berestycki-Lions type conditions. Zbl 1479.35274
Hu, Die; Zhang, Qi
2022
Closed-form solution of non-symmetric algebraic Riccati matrix equation. Zbl 1489.15025
Shirilord, Akbar; Dehghan, Mehdi
2022
Effects of environmental stochasticity on the foraging dynamics of ant colonies driven by physical interactions. Zbl 1490.92125
Feng, Tao
2022
An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures. Zbl 1487.74121
Jiang, Songwei; Gu, Yan; Golub, Mikhail V.
2022
A novel adaptive Crank-Nicolson-type scheme for the time fractional Allen-Cahn model. Zbl 07534440
Guo, Shuangjian; Ren, Jincheng
2022
Comparison of standard and stabilization free virtual elements on anisotropic elliptic problems. Zbl 1487.65176
Berrone, Stefano; Borio, Andrea; Marcon, Francesca
2022
Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds. Zbl 1490.35429
Li, Li; Liu, Yiyan; Yu, Fajun
2022
Non-radial finite time blow-up for the fourth-order nonlinear Schrödinger equations. Zbl 07540929
Dinh, Van Duong
2022
Dark soliton solutions for a variable coefficient higher-order Schrödinger equation in the dispersion decreasing fibers. Zbl 1491.35118
Zhao, Xue-Hui; Li, Shuxia
2022
Necessary condition in a Brezis-Oswald-type problem for mixed local and nonlocal operators. Zbl 1491.35250
Biagi, Stefano; Mugnai, Dimitri; Vecchi, Eugenio
2022
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system. Zbl 07540973
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui
2022
Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign. Zbl 1491.35087
Kopteva, Natalia
2022
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes. Zbl 1478.92024
Giverso, Chiara; Lorenzi, Tommaso; Preziosi, Luigi
2022
Fictitious centre RBF method for high order BVPs in multiply connected domains. Zbl 07443214
Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S.
2022
Reductions and exact solutions of Lotka-Volterra and more complex reaction-diffusion systems with delays. Zbl 1479.35180
Polyanin, Andrei D.; Sorokin, Vsevolod G.
2022
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. Zbl 1479.35216
Weng, Weifang; Zhang, Guoqiang; Zhou, Zijian; Yan, Zhenya
2022
A reproducing kernel method for nonlinear C-q-fractional IVPs. Zbl 07443233
Yu, Yue; Niu, Jing; Zhang, Jian; Ning, Siyu
2022
Stochastic averaging principle for distribution dependent stochastic differential equations. Zbl 1490.60176
Shen, Guangjun; Song, Jie; Wu, Jiang-Lun
2022
Error analysis of the Crank-Nicolson SAV method for the Allen-Cahn equation on variable grids. Zbl 07443241
Yu, Fan; Chen, Minghua
2022
A note on stability of fractional logistic maps. Zbl 1485.39026
Mendiola-Fuentes, Jessica; Melchor-Aguilar, Daniel
2022
Refactorization of a variable step, unconditionally stable method of Dahlquist, Liniger and Nevanlinna. Zbl 1486.65073
Layton, William; Pei, Wenlong; Trenchea, Catalin
2022
Global asymptotic stability in a non-autonomous delay mosquito population suppression model. Zbl 1478.92157
Hui, Yuanxian; Yu, Jianshe
2022
Bäcklund transformation, residual symmetry and exact interaction solutions of an extended $$(2+1)$$-dimensional Korteweg-de Vries equation. Zbl 1486.35367
Wu, Huiling; Chen, Qiaoyun; Song, Junfeng
2022
A novel integral inequality and its application to stability analysis of linear system with multiple time delays. Zbl 07443294
Jin, Li; He, Yong; Jiang, Lin
2022
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations. Zbl 1487.65053
Candelario, Giro; Cordero, Alicia; Torregrosa, Juan R.; Vassileva, María P.
2022
Bifurcation solitons and breathers for the nonlocal Boussinesq equations. Zbl 1479.35212
Ma, Yu-Lan; Li, Bang-Qing
2022
Energy-preserving splitting methods for charged-particle dynamics in a normal or strong magnetic field. Zbl 07443311
Li, Xicui; Wang, Bin
2022
Further study on existence and uniqueness of positive solution for tensor equations. Zbl 1480.15016
Liu, Lixia; Li, Xinyi; Liu, Sanyang
2022
Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations. Zbl 1484.65143
Zhang, Tianwei; Li, Yongkun
2022
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures. Zbl 1462.74165
Xia, Hao; Gu, Yan
2021
Space-time generalized finite difference nonlinear model for solving unsteady Burgers’ equations. Zbl 1458.65110
Li, Po-Wei
2021
An element-free Galerkin method for the obstacle problem. Zbl 1454.65171
Li, Xiaolin; Dong, Haiyun
2021
Threshold behavior of a stochastic predator-prey system with prey refuge and fear effect. Zbl 1459.92091
Qi, Haokun; Meng, Xinzhu
2021
Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. Zbl 1448.92349
Viguerie, Alex; Lorenzo, Guillermo; Auricchio, Ferdinando; Baroli, Davide; Hughes, Thomas J. R.; Patton, Alessia; Reali, Alessandro; Yankeelov, Thomas E.; Veneziani, Alessandro
2021
A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering. Zbl 1453.78004
Li, Junpu; Zhang, Lan; Qin, Qing-Hua
2021
Influence of the fear factor on the dynamics of a stochastic predator-prey model. Zbl 1455.92125
Liu, Qun; Jiang, Daqing
2021
On a strong minimum condition of a fractal variational principle. Zbl 07410059
He, Ji-Huan; Qie, Na; He, Chun-hui; Saeed, Tareq
2021
2.5D singular boundary method for acoustic wave propagation. Zbl 1462.76149
Wei, Xing; Luo, Wenjun
2021
A fast element-free Galerkin method for the fractional diffusion-wave equation. Zbl 07413900
Li, Xiaolin; Li, Shuling
2021
A revisit of the energy quadratization method with a relaxation technique. Zbl 07410118
Zhao, Jia
2021
A novel $$(3+1)$$-dimensional sine-Gorden and a sinh-Gorden equation: derivation, symmetries and conservation laws. Zbl 1458.35020
Wang, Gangwei
2021
Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D. Zbl 1451.65101
Zhang, Jin; Liu, Xiaowei
2021
Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations. Zbl 1450.65081
Li, Xiaoxi; Wen, Jinming; Li, Dongfang
2021
Localized method of fundamental solutions for 2D harmonic elastic wave problems. Zbl 1453.74043
Li, Weiwei
2021
On an open question in recovering Sturm-Liouville-type operators with delay. Zbl 1464.34098
Djurić, Nebojša; Buterin, Sergey
2021
Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation. Zbl 1458.35108
McCue, Scott W.; El-Hachem, Maud; Simpson, Matthew J.
2021
The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps. Zbl 1468.60067
Ahmed, Hamdy M.; Zhu, Quanxin
2021
Mass- and energy-preserving exponential Runge-Kutta methods for the nonlinear Schrödinger equation. Zbl 1454.65058
Cui, Jin; Xu, Zhuangzhi; Wang, Yushun; Jiang, Chaolong
2021
Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity. Zbl 1453.35115
Winkler, Michael
2021
Bilinear auto-Bäcklund transformations and soliton solutions of a $$(3+1)$$-dimensional generalized nonlinear evolution equation for the shallow water waves. Zbl 1476.35082
Shen, Yuan; Tian, Bo
2021
Fusion and fission phenomena for $$( 2 + 1 )$$-dimensional fifth-order KdV system. Zbl 1466.35320
Zhang, Zhao; Qi, Zequn; Li, Biao
2021
Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions. Zbl 1466.34005
Ahmad, Bashir; Alghanmi, Madeaha; Alsaedi, Ahmed; Nieto, Juan J.
2021
Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber. Zbl 1478.78067
Wang, Meng; Tian, Bo; Hu, Cong-Cong; Liu, Shao-Hua
2021
Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems. Zbl 1472.93145
Tian, Yufeng; Wang, Zhanshan
2021
Dynamical bifurcation and explicit stationary density of a stochastic population model with allee effects. Zbl 1453.34071
Ji, Weiming; Zhang, Yuqian; Liu, Meng
2021
Second order difference schemes for time-fractional KdV-Burgers’ equation with initial singularity. Zbl 1453.65210
Cen, Dakang; Wang, Zhibo; Mo, Yan
2021
Doubly localized rogue waves on a background of dark solitons for the Fokas system. Zbl 1475.35109
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru
2021
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### Cited by 36,140 Authors

 277 Agarwal, Ravi P. 211 O’Regan, Donal 191 Noor, Muhammad Aslam 182 Băleanu, Dumitru I. 180 Srivastava, Hari Mohan 163 Al-saedi, Ahmed Eid Salem 141 Ahmad, Bashir 135 Argyros, Ioannis Konstantinos 134 Liu, Lishan 128 Karapınar, Erdal 125 Wu, Yonghong 124 Nieto Roig, Juan Jose 123 Ge, Weigao 123 Jiang, Daqing 117 Stević, Stevo 115 Wang, Jinrong 114 Kumam, Poom 110 Hayat, Tasawar 106 Huang, Nan-Jing 104 Cho, Yeol Je 104 Simos, Theodore E. 100 Chu, Yuming 98 Dehghan Takht Fooladi, Mehdi 97 Ntouyas, Sotiris K. 96 Ding, Xie Ping 96 Dragomir, Sever Silvestru 91 Quintanilla de Latorre, Ramón 90 Mu, Chunlai 89 Tang, Xianhua 88 Kang, Shin Min 86 Radenovic, Stojan 83 Yao, Jen-Chih 82 Park, Choonkil 78 Shah, Kamal 78 Teng, Zhi-dong 77 Noor, Khalida Inayat 76 Samet, Bessem 75 Cao, Jinde 74 Abdeljawad, Thabet 74 Graef, John R. 72 Ding, Feng 72 Torregrosa Sanchez, Juan Ramón 71 Abbas, Mujahid 71 Li, Tongxing 71 Zhou, Yong 70 Ma, Ruyun 70 Mursaleen, Mohammad 68 Cordero, Alicia 68 Zhang, Xinguang 67 Messaoudi, Salim A. 67 Ramm, Alexander G. 66 Grace, Said Rezk 66 Ma, Changfeng 66 Meng, Xinzhu 65 Chen, Haibo 64 Aydi, Hassen Mohamed 64 Chen, Fengde 62 Kiliçman, Adem 60 Sintunavarat, Wutiphol 59 Cui, Yujun 59 Li, Wan-Tong 58 Rezapour, Shahram 57 Bhrawy, Ali Hassan 57 Fan, Jishan 56 Goodrich, Christopher S. 56 Wazwaz, Abdul-Majid Abdul-Rahman 54 Henderson, Johnny Lee 54 Liu, Yuji 54 Nashine, Hemant Kumar 53 Balachandran, Krishnan 52 Li, Yongkun 52 Ma, Wen-Xiu 52 Torres, Delfim Fernando Marado 52 Zhou, Jun 51 Huang, Ting-Zhu 51 Kudryashov, Nikolaĭ Alekseevich 50 Liu, Zeqing 50 Sun, Shurong 50 Wang, Guotao 49 Bohner, Martin J. 49 Hussain, Nawab 49 Liu, Qun 49 Llibre, Jaume 47 de la Sen, Manuel 47 Jódar Sanchez, Lucas Antonio 47 Kadelburg, Zoran 47 Meng, Fanwei 47 Mohiuddine, Syed Abdul 47 Verma, Ram U. 47 Zhou, Yong 46 Hajarian, Masoud 46 Huang, Lihong 46 Li, Yongxiang 46 Qin, Xiaolong 46 Xu, Jiafa 46 Zhai, Chengbo 45 Liu, Chein-Shan 44 Alotaibi, Abdullah M. 44 Benchohra, Mouffak 44 Han, Zhenlai ...and 36,040 more Authors
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### Cited in 1,052 Journals

 2,439 Applied Mathematics and Computation 2,402 Applied Mathematics Letters 1,379 Computers & Mathematics with Applications 1,363 Advances in Difference Equations 1,224 Journal of Mathematical Analysis and Applications 954 Abstract and Applied Analysis 872 Journal of Computational and Applied Mathematics 859 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 719 Journal of Inequalities and Applications 556 Boundary Value Problems 468 Fixed Point Theory and Applications 456 Mathematical and Computer Modelling 414 Discrete Dynamics in Nature and Society 411 Journal of Applied Mathematics and Computing 401 Journal of Differential Equations 389 Chaos, Solitons and Fractals 385 Nonlinear Analysis. Real World Applications 369 Journal of Function Spaces 344 Communications in Nonlinear Science and Numerical Simulation 338 Mathematical Problems in Engineering 335 Applicable Analysis 330 Mathematical Methods in the Applied Sciences 320 Discrete Applied Mathematics 311 Applied Numerical Mathematics 311 International Journal of Computer Mathematics 309 Computational and Applied Mathematics 306 Nonlinear Dynamics 306 AIMS Mathematics 298 Filomat 293 Numerical Algorithms 291 Linear Algebra and its Applications 259 Journal of Applied Mathematics 257 Physica A 248 Journal of Computational Physics 248 Journal of the Franklin Institute 243 ZAMP. Zeitschrift für angewandte Mathematik und Physik 239 Journal of Difference Equations and Applications 237 Mediterranean Journal of Mathematics 234 Journal of Optimization Theory and Applications 231 Applied Mathematical Modelling 229 Discrete and Continuous Dynamical Systems. Series B 202 Journal of Mathematical Chemistry 199 Mathematics and Computers in Simulation 198 Journal of Mathematical Physics 194 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 189 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 187 Discrete Mathematics 180 Advances in Mathematical Physics 176 Journal of Nonlinear Science and Applications 168 Journal of Scientific Computing 168 Engineering Analysis with Boundary Elements 158 International Journal of Applied and Computational Mathematics 155 Numerical Functional Analysis and Optimization 154 Acta Applicandae Mathematicae 144 Computer Methods in Applied Mechanics and Engineering 144 Journal of Applied Analysis and Computation 143 Complexity 142 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 140 Afrika Matematika 137 International Journal of Biomathematics 134 Communications on Pure and Applied Analysis 132 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 130 Results in Mathematics 130 Journal of Mathematics 128 Fuzzy Sets and Systems 119 Turkish Journal of Mathematics 115 Mathematical Biosciences and Engineering 114 Acta Mathematicae Applicatae Sinica. English Series 113 Theoretical Computer Science 113 Physica D 113 Discrete and Continuous Dynamical Systems 112 Fractional Calculus & Applied Analysis 111 Qualitative Theory of Dynamical Systems 109 Journal of Fixed Point Theory and Applications 109 Open Mathematics 106 Nonlinear Analysis. Modelling and Control 105 Journal of Mathematical Biology 105 Information Sciences 102 Acta Mathematica Sinica. English Series 99 Rocky Mountain Journal of Mathematics 99 Bulletin of Mathematical Biology 99 International Journal of Mathematics and Mathematical Sciences 99 Journal of Global Optimization 96 Linear and Multilinear Algebra 94 European Journal of Operational Research 93 Asian-European Journal of Mathematics 91 Differential Equations and Dynamical Systems 90 Fractals 89 Journal of the Egyptian Mathematical Society 89 Discrete and Continuous Dynamical Systems. Series S 88 Journal of Theoretical Biology 87 Optimization 84 International Journal of Differential Equations 83 Mathematical Sciences 82 Mathematica Slovaca 81 Mathematical Biosciences 81 Automatica 81 Nonlinear Analysis. Hybrid Systems 79 International Journal of Control 79 International Journal of Nonlinear Sciences and Numerical Simulation ...and 952 more Journals
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### Cited in 63 Fields

 11,111 Partial differential equations (35-XX) 9,423 Ordinary differential equations (34-XX) 8,323 Numerical analysis (65-XX) 4,691 Operator theory (47-XX) 4,418 Biology and other natural sciences (92-XX) 2,867 Fluid mechanics (76-XX) 2,785 Real functions (26-XX) 2,310 Combinatorics (05-XX) 2,230 Systems theory; control (93-XX) 2,176 Difference and functional equations (39-XX) 2,171 Dynamical systems and ergodic theory (37-XX) 1,849 Calculus of variations and optimal control; optimization (49-XX) 1,770 Operations research, mathematical programming (90-XX) 1,666 Probability theory and stochastic processes (60-XX) 1,418 General topology (54-XX) 1,400 Mechanics of deformable solids (74-XX) 1,345 Integral equations (45-XX) 1,213 Linear and multilinear algebra; matrix theory (15-XX) 1,023 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 904 Functions of a complex variable (30-XX) 904 Statistical mechanics, structure of matter (82-XX) 894 Approximations and expansions (41-XX) 870 Computer science (68-XX) 849 Special functions (33-XX) 728 Functional analysis (46-XX) 574 Number theory (11-XX) 551 Statistics (62-XX) 497 Sequences, series, summability (40-XX) 487 Global analysis, analysis on manifolds (58-XX) 487 Information and communication theory, circuits (94-XX) 405 Quantum theory (81-XX) 394 Harmonic analysis on Euclidean spaces (42-XX) 388 Optics, electromagnetic theory (78-XX) 387 Classical thermodynamics, heat transfer (80-XX) 292 Mechanics of particles and systems (70-XX) 224 Integral transforms, operational calculus (44-XX) 204 Measure and integration (28-XX) 177 Differential geometry (53-XX) 157 Geophysics (86-XX) 128 Convex and discrete geometry (52-XX) 118 Mathematical logic and foundations (03-XX) 90 Potential theory (31-XX) 70 Associative rings and algebras (16-XX) 66 Abstract harmonic analysis (43-XX) 66 Relativity and gravitational theory (83-XX) 62 Algebraic geometry (14-XX) 53 Order, lattices, ordered algebraic structures (06-XX) 50 Geometry (51-XX) 49 Topological groups, Lie groups (22-XX) 47 Field theory and polynomials (12-XX) 44 General and overarching topics; collections (00-XX) 44 Nonassociative rings and algebras (17-XX) 43 Commutative algebra (13-XX) 40 Group theory and generalizations (20-XX) 37 Algebraic topology (55-XX) 33 Several complex variables and analytic spaces (32-XX) 28 Astronomy and astrophysics (85-XX) 23 Manifolds and cell complexes (57-XX) 16 History and biography (01-XX) 14 Mathematics education (97-XX) 6 Category theory; homological algebra (18-XX) 3 General algebraic systems (08-XX) 2 $$K$$-theory (19-XX)