## Nieto Roig, Juan Jose

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 Author ID: nieto.juan-jose Published as: Nieto, Juan J.; Nieto, J. J.; Nieto, Juan Jose; Nieto, Juan; Nieto Roig, Juan J.; Nieto, Juan José; Nieto, Juan. J.; Nieto, Jaun J.; Nieto, J. more...less External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 488 Publications since 1983 6 Contributions as Editor Reviewing Activity: 22 Reviews Biographic References: 1 Publication Co-Authors: 324 Co-Authors with 448 Joint Publications 9,131 Co-Co-Authors
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### Co-Authors

 42 single-authored 47 Benchohra, Mouffak 47 Rodríguez-López, Rosana 45 Ahmad, Bashir 24 Ouahab, Abdelghani 23 Area, Iván 17 Chang, Yong-Kui 16 Cabada, Alberto 14 Al-saedi, Ahmed Eid Salem 14 Franco Leis, Daniel 13 Liz, Eduardo 12 Torres, Angela 11 Prakash, Periasamy 10 Abbas, Said 10 Losada, Jorge 10 O’Regan, Donal 10 Zhao, Zhihan 9 Torres, Delfim Fernando Marado 8 Fazli, Hossein 8 Khastan, Alireza 8 Kong, Fanchao 8 Lakshmikantham, Vangipuram 7 Bouriah, Soufyane 7 Ding, Xiaoli 7 Georgiou, Dimitrios N. 6 Ndaïrou, Faïçal 6 Sun, Juntao 5 Abbasbandy, Saeid 5 Bai, Liang 5 Boucherif, Abdelkader 5 Chen, Haibo 5 Debbouche, Amar 5 Ding, Huisheng 5 Karakasidis, Theodoros E. 5 Luo, Zhiguo 5 Uddin, Izhar 5 Uzal, José Manuel 4 Agarwal, Ravi P. 4 Chen, Lansun 4 Djida, Jean Daniel 4 Elshahed, Moustafa 4 Hamani, Samira 4 Hamidi, Naima 4 Harikrishnan, Srinivasan 4 Kannan, Rangachary 4 Khan, Rahmat Ali 4 Lazreg, Jamal Eddine 4 Masjed-Jamei, Mohammad 4 Shammakh, Wafa M. 4 Shen, Jianhua 4 Silva, Cristiana J. 4 Xiao, Jing 3 Agarwal, Praveen 3 Al-Hutami, Hana 3 Ali, Javid 3 Baghani, Hamid 3 Batarfi, Hanan 3 Deiveegan, Arumugam 3 Henderson, Johnny Lee 3 Khajanchi, Subhas 3 Kim, Jeong-Hoon 3 Lan, Hengyou 3 Li, Wensheng 3 Mahmudov, Nazim Idrisoglu 3 Otero-Espinar, Maria Victoria 3 Sakthivel, Rathinasamy 3 Shahzad, Naseer 3 Soleyman, Fatemeh 3 Sun, Hongguang 3 Yan, Jurang 2 Alaidarous, Eman S. 2 Albarakati, Wafaa A. 2 Alghanmi, Madeaha 2 Ali, Wajahat 2 Aljoudi, Shorog 2 Allahviranloo, Tofigh 2 Alzabut, Jehad O. 2 Andrade, Helena 2 Aqlan, Mohammed Ha 2 Bahrami, Fariba 2 Băleanu, Dumitru I. 2 Baliki, Abdessalam 2 Belmekki, Mohammed 2 Benaissa, Amel 2 Berhoun, Farida 2 Chen, Yuqing 2 Chu, Jifeng 2 Cong, Shuang 2 Gao, Shujing 2 Harraz, Sajede 2 Heikkilä, Seppo V. 2 Ivaz, Karim 2 Jiang, Daqing 2 Jung, Il Hyo 2 Li, Jianli 2 Li, Wan-Tong 2 Liang, Feng 2 López Pouso, Rodrigo 2 Mira, Jorge 2 Mostefai, Fatima-Zohra 2 Nie, Linfei ...and 224 more Co-Authors
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### Serials

 21 Journal of Mathematical Analysis and Applications 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Applied Mathematics and Computation 13 Journal of Computational and Applied Mathematics 13 Boundary Value Problems 12 Advances in Difference Equations 11 Computers & Mathematics with Applications 11 Chaos, Solitons and Fractals 11 Applied Mathematics Letters 11 Abstract and Applied Analysis 10 Dynamic Systems and Applications 7 Nonlinear Analysis. Modelling and Control 7 Nonlinear Analysis. Theory, Methods & Applications 6 Electronic Journal of Differential Equations (EJDE) 6 Electronic Journal of Qualitative Theory of Differential Equations 5 Acta Mathematica Hungarica 5 Mathematical and Computer Modelling 5 Topological Methods in Nonlinear Analysis 5 Filomat 5 Nonlinear Analysis. Real World Applications 5 Fixed Point Theory 5 Journal of Function Spaces 4 Journal of the Franklin Institute 4 Mathematical Methods in the Applied Sciences 4 Fuzzy Sets and Systems 4 Information Sciences 4 Journal of Optimization Theory and Applications 4 Proceedings of the American Mathematical Society 4 Mathematical Problems in Engineering 4 Communications in Applied Analysis 4 Differential Equations and Dynamical Systems 4 Journal of Inequalities and Applications 4 Fractional Calculus & Applied Analysis 4 Revista Matemática Complutense 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 4 Mediterranean Journal of Mathematics 4 Fixed Point Theory and Applications 4 Journal of Fixed Point Theory and Applications 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Open Mathematics 3 Applicable Analysis 3 Physica A 3 Commentationes Mathematicae Universitatis Carolinae 3 Mathematics and Computers in Simulation 3 Panamerican Mathematical Journal 3 Random Operators and Stochastic Equations 3 Qualitative Theory of Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Intelligent and Fuzzy Systems 3 African Diaspora Journal of Mathematics 3 Journal of Nonlinear Science and Applications 2 International Journal of Theoretical Physics 2 Mathematical Biosciences 2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 2 Annales Polonici Mathematici 2 Demonstratio Mathematica 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Differential Equations 2 Mathematische Nachrichten 2 Numerical Functional Analysis and Optimization 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Extracta Mathematicae 2 IMA Journal of Mathematical Control and Information 2 Journal of Applied Mathematics and Stochastic Analysis 2 Differential and Integral Equations 2 Glasnik Matematički. Serija III 2 Computational and Applied Mathematics 2 Georgian Mathematical Journal 2 Nonlinear Studies 2 Communications on Applied Nonlinear Analysis 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Taiwanese Journal of Mathematics 2 Soft Computing 2 Nonlinear Analysis Forum 2 Journal of Function Spaces and Applications 2 Fuzzy Optimization and Decision Making 2 Mathematical Biosciences and Engineering 2 International Journal of Difference Equations 2 Nonlinear Analysis. Hybrid Systems 2 International Journal of Biomathematics 2 Differential Equations and Applications 2 Journal of Theoretical Biology 2 Journal of Applied Analysis and Computation 2 Fractional Differential Calculus 2 AIMS Mathematics 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Bulletin of Mathematical Biology 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Journal of the Korean Mathematical Society ...and 71 more Serials
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### Fields

 339 Ordinary differential equations (34-XX) 100 Operator theory (47-XX) 64 Real functions (26-XX) 52 Biology and other natural sciences (92-XX) 47 Integral equations (45-XX) 43 Partial differential equations (35-XX) 23 Systems theory; control (93-XX) 22 Numerical analysis (65-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Special functions (33-XX) 13 Difference and functional equations (39-XX) 13 Probability theory and stochastic processes (60-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 General topology (54-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Mathematical logic and foundations (03-XX) 5 General and overarching topics; collections (00-XX) 5 Abstract harmonic analysis (43-XX) 5 Fluid mechanics (76-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

403 Publications have been cited 9,585 times in 5,131 Documents Cited by Year
Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Zbl 1095.47013
Nieto, Juan J.; Rodríguez-López, Rosana
2005
Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations. Zbl 1140.47045
Nieto, Juan J.; Rodríguez-López, Rosana
2007
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. Zbl 1205.34003
2009
Variational approach to impulsive differential equations. Zbl 1167.34318
Nieto, Juan J.; O’Regan, Donal
2009
On the concept of solution for fractional differential equations with uncertainty. Zbl 1188.34005
Agarwal, Ravi P.; Lakshmikantham, V.; Nieto, Juan J.
2010
Some new existence results for fractional differential inclusions with boundary conditions. Zbl 1165.34313
Chang, Yong-Kui; Nieto, Juan J.
2009
Fixed point theorems in ordered abstract spaces. Zbl 1126.47045
Nieto, Juan J.; Pouso, Rodrigo L.; Rodríguez-López, Rosana
2007
A delayed epidemic model with stage-structure and pulses for pest management strategy. Zbl 1154.34394
Zhang, Hong; Chen, Lansun; Nieto, Juan J.
2008
A study of nonlinear Langevin equation involving two fractional orders in different intervals. Zbl 1238.34008
Ahmad, Bashir; Nieto, Juan J.; Alsaedi, Ahmed; El-Shahed, Moustafa
2012
Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions. Zbl 1167.45003
2009
Fractional order differential equations on an unbounded domain. Zbl 1179.26015
Arara, A.; Benchohra, M.; Hamidi, N.; Nieto, J. J.
2010
Impulsive periodic boundary value problems of first-order differential equations. Zbl 1110.34019
Li, Jianli; Nieto, Juan J.; Shen, Jianhua
2007
New comparison results for impulsive integro-differential equations and applications. Zbl 1113.45007
Nieto, Juan J.; Rodríguez-López, Rosana
2007
Basic theory for nonresonance impulsive periodic problems of first order. Zbl 0870.34009
Nieto, Juan J.
1997
Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems. Zbl 1112.34052
Yan, Jurang; Zhao, Aimin; Nieto, J. J.
2004
Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions. Zbl 1275.45004
2011
Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory. Zbl 1245.34008
2010
Impulsive periodic solutions of first-order singular differential equations. Zbl 1144.34016
Chu, Jifeng; Nieto, Juan J.
2008
Impulsive resonance periodic problems of first order. Zbl 1022.34025
Nieto, J. J.
2002
The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects. Zbl 1198.34036
Sun, Juntao; Chen, Haibo; Nieto, Juan J.; Otero-Novoa, Mario
2010
Periodic boundary value problems for first-order impulsive ordinary differential equations. Zbl 1015.34010
Nieto, Juan J.
2002
Maximum principles for fractional differential equations derived from Mittag-Leffler functions. Zbl 1202.34019
Nieto, Juan J.
2010
Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations. Zbl 1101.34051
Nieto, Juan J.; Rodríguez-López, Rosana
2006
The dynamics of an epidemic model for pest control with impulsive effect. Zbl 1188.93038
Wang, Limin; Chen, Lansun; Nieto, Juan J.
2010
Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions. Zbl 1158.34049
2008
Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations. Zbl 1186.34009
2009
Controllability for a class of fractional-order neutral evolution control systems. Zbl 1245.93022
Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J.
2012
Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order. Zbl 1197.34003
El-Shahed, Moustafa; Nieto, Juan J.
2010
On ground state solutions for some non-autonomous Schrödinger-Poisson systems. Zbl 1241.35057
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2012
Boundary value problems for a class of impulsive functional equations. Zbl 1142.34362
Nieto, Juan J.; Rodríguez-López, Rosana
2008
Anti-periodic solutions for fully nonlinear first-order differential equations. Zbl 1142.34313
Chen, Yuqing; Nieto, Juan J.; O’Regan, Donal
2007
Complexity of a delayed predator-prey model with impulsive harvest and Holling type II functional response. Zbl 1168.34052
Zeng, Guangzhao; Wang, Fengyan; Nieto, Juan J.
2008
On a fractional order Ebola epidemic model. Zbl 1344.92150
Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela
2015
Existence of periodic solution for a nonlinear fractional differential equation. Zbl 1181.34006
Belmekki, Mohammed; Nieto, Juan J.; Rodríguez-López, Rosana
2009
On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations. Zbl 1134.34322
Jiang, Daqing; Nieto, Juan J.; Zuo, Wenjie
2004
The Cauchy problem for continuous fuzzy differential equations. Zbl 0929.34005
Nieto, Juan J.
1999
Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions. Zbl 0958.34055
Nieto, J. J.; Rodríguez-López, R.
2000
Remarks on periodic boundary value problems for functional differential equations. Zbl 1036.65058
Nieto, Juan J.; Rodríguez-López, Rosana
2003
First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions. Zbl 0966.34025
Franco, Daniel; Nieto, Juan J.
2000
A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. Zbl 1388.34005
Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong
2018
Variation of constant formula for first order fuzzy differential equations. Zbl 1250.34005
Khastan, A.; Nieto, J. J.; Rodríguez-López, Rosana
2011
New results for the periodic boundary value problem for impulsive integro-differential equations. Zbl 1166.45002
Luo, Zhiguo; Nieto, Juan J.
2009
Variational formulation of a damped Dirichlet impulsive problem. Zbl 1197.34041
Nieto, Juan J.
2010
Existence of solutions for impulsive neutral integro-differential inclusions with nonlocal initial conditions via fractional operators. Zbl 1176.34096
Chang, Yong-Kui; Nieto, Juan J.
2009
Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. Zbl 1230.37079
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2011
Variational approach to some damped Dirichlet nonlinear impulsive differential equations. Zbl 1228.34048
Xiao, Jing; Nieto, Juan J.
2011
Permanence and periodic solution of predator-prey system with holling type functional response and impulses. Zbl 1146.37370
Wang, Weibing; Shen, Jianhua; Nieto, Juan J.
2007
A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions. Zbl 1372.34006
Aljoudi, Shorog; Ahmad, Bashir; Nieto, Juan J.; Alsaedi, Ahmed
2016
Numerical methods for fuzzy differential inclusions. Zbl 1074.65072
Abbasbandy, S.; Allah Viranloo, T.; López-Pouso, Ó.; Nieto, J. J.
2004
Solvability of impulsive neutral evolution differential inclusions with state-dependent delay. Zbl 1171.34304
Li, Wen-Sheng; Chang, Yong-Kui; Nieto, Juan J.
2009
New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces. Zbl 1451.93032
Ravichandran, C.; Valliammal, N.; Nieto, Juan Jose
2019
Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls. Zbl 1335.34014
Debbouche, Amar; Nieto, Juan J.
2014
Bounded solutions for fuzzy differential and integral equations. Zbl 1330.34039
Nieto, Juan J.; Rodríguez-López, Rosana
2006
An abstract monotone iterative technique. Zbl 0883.47058
Nieto, Juan J.
1997
Existence of solutions for nonlinear fractional $$q$$-difference integral equations with two fractional orders and nonlocal four-point boundary conditions. Zbl 1372.45007
Ahmad, Bashir; Nieto, Juan J.; Alsaedi, Ahmed; Al-Hutami, Hana
2014
Boundary value problems for a class of sequential integrodifferential equations of fractional order. Zbl 1267.45018
2013
Sequential fractional differential equations with three-point boundary conditions. Zbl 1268.34006
2012
Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis. Zbl 1186.34116
Alzabut, J. O.; Nieto, J. J.; Stamov, G. Tr.
2009
Numerical solution of fuzzy differential equations under generalized differentiability. Zbl 1181.34005
Nieto, J. J.; Khastan, A.; Ivaz, K.
2009
Antiperiodic boundary value problem for first-order impulsive ordinary differential equations. Zbl 1084.34018
Luo, Zhiguo; Shen, Jianhua; Nieto, J. J.
2005
Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment. Zbl 1194.92075
Meng, Xinzhu; Li, Zhenqing; Nieto, Juan J.
2010
Initial and boundary value problems for fuzzy differential equations. Zbl 1048.34015
O’Regan, Donal; Lakshmikantham, V.; Nieto, Juan J.
2003
Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay. Zbl 1220.93011
Sakthivel, R.; Nieto, Juan J.; Mahmudov, N. I.
2010
Multiplicity of solutions for nonlinear second order impulsive differential equations with linear derivative dependence via variational methods. Zbl 1251.34046
Xiao, Jing; Nieto, Juan J.; Luo, Zhiguo
2012
Periodic boundary value problems for a class of functional differential equations. Zbl 0855.34080
Liz, Eduardo; Nieto, J. J.
1996
Tuning of reachable set in one dimensional fuzzy differential inclusions. Zbl 1073.65054
Abbasbandy, S.; Nieto, Juan J.; Alavi, M.
2005
A boundary value problem for second order fuzzy differential equations. Zbl 1193.34004
Khastan, A.; Nieto, Juan J.
2010
Global attractivity for nonlinear fractional differential equations. Zbl 1238.34011
Chen, Fulai; Nieto, Juan J.; Zhou, Yong
2012
Variational approach to differential equations with not instantaneous impulses. Zbl 1382.34028
Bai, Liang; Nieto, Juan J.
2017
Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions. Zbl 1058.34015
Franco, Daniel; Nieto, Juan J.; O’Regan, Donal
2004
Infinitely many solutions for second-order Hamiltonian system with impulsive effects. Zbl 1225.37070
Sun, Juntao; Chen, Haibo; Nieto, Juan J.
2011
Existence of solutions for impulsive anti-periodic boundary value problems of fractional order. Zbl 1270.34034
2011
Monotone method for first-order functional differential equations. Zbl 1140.34406
Nieto, J. J.; Rodríguez-López, R.
2006
Controllability of semilinear differential systems with nonlocal initial conditions in Banach spaces. Zbl 1178.93029
Chang, Y. K.; Nieto, J. J.; Li, W. S.
2009
A contribution to the study of functional differential equations with impulses. Zbl 0966.34073
Franco, Daniel; Liz, Eduardo; Nieto, Juan J.; Rogovchenko, Yuri V.
2000
Linear first-order fuzzy differential equations. Zbl 1116.34005
Nieto, Juan J.; Rodríguez-López, Rosana; Franco, Daniel
2006
Controllability of evolution differential inclusions in Banach spaces. Zbl 1128.93005
Chang, Yong-Kui; Li, Wan-Tong; Nieto, Juan J.
2007
Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions. Zbl 0884.34011
Nieto, Juan J.
1997
Initial value problems for higher-order fuzzy differential equations. Zbl 1091.34003
Georgiou, D. N.; Nieto, Juan J.; Rodríguez-López, Rosana
2005
Periodic boundary value problems for nonlinear higher order ordinary differential equations. Zbl 0748.34014
Šeda, V.; Nieto, Juan J.; Gera, M.
1992
Anti-periodic boundary value problem for nonlinear first order ordinary differential equations. Zbl 1097.34015
Franco, Daniel; Nieto, Juan J.; O’Regan, Donal
2003
Anti-periodic fractional boundary value problems. Zbl 1228.34010
2011
Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response. Zbl 1155.34361
Huo, Hai-Feng; Li, Wan-Tong; Nieto, Juan J.
2007
Fuzzy delay differential equations under generalized differentiability. Zbl 1346.34050
Khastan, A.; Nieto, J. J.; Rodríguez-López, R.
2014
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions. Zbl 0789.34027
Wang, Ming-Xing; Cabada, Alberto; Nieto, Juan J.
1993
Riemann-Liouville fractional differential equations with fractional boundary conditions. Zbl 1315.34006
2012
Solvability of nonlinear Langevin equation involving two fractional orders with Dirichlet boundary conditions. Zbl 1207.34007
2010
A new family of the local fractional PDEs. Zbl 1386.35461
Yang, Xiao-Jun; Machado, J. A. Tenreiro; Nieto, Juan J.
2017
Seasonality and mixed vaccination strategy in an epidemic model with vertical transmission. Zbl 1217.92066
Gao, Shujing; Liu, Yujiang; Nieto, Juan J.; Andrade, Helena
2011
Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative. Zbl 1281.34005
2012
Three-point boundary value problems for conformable fractional differential equations. Zbl 1325.34006
Batarfi, H.; Losada, Jorge; Nieto, Juan J.; Shammakh, W.
2015
Analysis of an El Nino-Southern Oscillation model with a new fractional derivative. Zbl 1373.86007
Singh, Jagdev; Kumar, Devendra; Nieto, Juan J.
2017
Some boundary value problems of fractional differential equations and inclusions. Zbl 1228.34011
Ahmad, Bashir; Nieto, Juan J.; Pimentel, Johnatan
2011
Fuzzy differential systems under generalized metric spaces approach. Zbl 1168.34005
Nieto, Juan J.; Rodríguez-López, Rosana; Georgiou, D. N.
2008
Implicit fractional differential equations via the Liouville-Caputo derivative. Zbl 1322.34012
Nieto, Juan J.; Ouahab, Abelghani; Venktesh, Venktesh
2015
Positive solutions of a fractional thermostat model. Zbl 1280.35166
Nieto, Juan J.; Pimentel, Johnatan
2013
Permanence and global attractivity of stage-structured predator-prey model with continuous harvesting on predator and impulsive stocking on prey. Zbl 1231.34021
Jiao, Jian-Jun; Chen, Lan-Sun; Nieto, Juan J.; Angela, Torres
2008
Green’s function and comparison principles for first order periodic differential equations with piecewise constant arguments. Zbl 1057.34089
Cabada, Alberto; Ferreiro, Juan B.; Nieto, Juan J.
2004
Fractional Langevin equation with anti-periodic boundary conditions. Zbl 1415.34016
Fazli, Hossein; Nieto, Juan J.
2018
Periodic boundary value problems for first-order linear differential equations with uncertainty under generalized differentiability. Zbl 1293.34005
Khastan, A.; Nieto, J. J.; Rodríguez-López, Rosana
2013
Solution of a fractional logistic ordinary differential equation. Zbl 1480.34011
Nieto, Juan J.
2022
Chebyshev spectral method for solving fuzzy fractional Fredholm-Volterra integro-differential equation. Zbl 07431739
Kumar, Sachin; Nieto, Juan J.; Ahmad, Bashir
2022
Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions. Zbl 1466.34005
2021
Nonlocal initial value problem for hybrid generalized Hilfer-type fractional implicit differential equations. Zbl 1471.34025
Salim, Abdelkrim; Benchohra, Mouffak; Lazreg, Jamal Eddine; Nieto, Juan J.; Zhou, Yong
2021
Stochastic version of Henry type Gronwall’s inequality. Zbl 1481.60043
Mekki, Slimane; Nieto, Juan J.; Ouahab, Abdelghani
2021
An application of Lyapunov-Razumikhin method to behaviors of Volterra integro-differential equations. Zbl 1483.45010
Nieto, Juan J.; Tunç, Osman
2021
Power-series solution of compartmental epidemiological models. Zbl 1471.92352
Srivastava, H. M.; Area, I.; Nieto, J. J.
2021
Fractional model of COVID-19 applied to Galicia, Spain and Portugal. Zbl 07514521
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
2021
Analysis of infectious disease problems (Covid-19) and their global impact. Zbl 1470.92006
2021
Some observations on generalized non-expansive mappings with an application. Zbl 1449.47122
Ali, Faeem; Ali, Javid; Nieto, Juan J.
2020
Theory of nonlinear implicit fractional differential equations. Zbl 1442.34019
Kucche, Kishor D.; Nieto, Juan J.; Venktesh, Venktesh
2020
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Zbl 07501380
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Torres, Delfim F. M.
2020
On a delayed epidemic model with non-instantaneous impulses. Zbl 1447.34070
Bai, Liang; Nieto, Juan J.; Uzal, José M.
2020
Fractional integro-differential equations with dual anti-periodic boundary conditions. Zbl 07217169
Ahmad, Bashir; Alruwaily, Ymnah; Alsaedi, Ahmed; Nieto, Juan J.
2020
Langevin equation involving three fractional orders. Zbl 1436.26006
Darzi, Rahmat; Agheli, Bahram; Nieto, Juan J.
2020
Existence and compactness results for a system of fractional differential equations. Zbl 1452.34011
Guendouz, Cheikh; Lazreg, Jamal Eddine; Nieto, Juan J.; Ouahab, Abdelghani
2020
Nonlinear second-order impulsive differential problems with dependence on the derivative via variational structure. Zbl 1442.34057
Nieto, Juan J.; Uzal, José M.
2020
Control of bounded solutions for first-order singular differential equations with impulses. Zbl 1451.93026
Kong, Fanchao; Nieto, Juan J.
2020
Modeling and forecasting the COVID-19 pandemic in India. Zbl 07505072
Sarkar, Kankan; Khajanchi, Subhas; Nieto, Juan J.
2020
Existence and uniqueness of solutions for a coupled system of sequential fractional differential equations with initial conditions. Zbl 1455.34004
2020
Oscillation of time fractional vector diffusion-wave equation with fractional damping. Zbl 1445.35311
Ramesh, R.; Harikrishnan, S.; Nieto, J. J.; Prakash, P.
2020
Existence and stability for fractional order pantograph equations with nonlocal conditions. Zbl 1461.34088
Ahmad, Israr; Nieto, Juan Jose; Rahman, Ghaus ur; Shah, Kamal
2020
Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. Zbl 1442.35506
Djida, Jean Daniel; Nieto, Juan J.; Area, Iván
2020
Existence of solutions for implicit impulsive differential systems with coupled nonlocal conditions. Zbl 1454.34006
Kadari, Halima; Nieto, Juan J.; Ouahab, Abdelghani; Oumansour, Abderrahamane
2020
Corrigendum to “Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan”. Zbl 07511213
Ndaïrou, Faïçal; Area, Iván; Bader, Georg; Nieto, Juan J.; Torres, Delfim F. M.
2020
Certain generating relations involving the generalized multi-index Bessel-Maitland function. Zbl 1459.33004
Jain, Shilpi; Nieto, Juan J.; Singh, Gurmej; Choi, Junesang
2020
New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces. Zbl 1451.93032
Ravichandran, C.; Valliammal, N.; Nieto, Juan Jose
2019
Mathematical modeling of tumor-immune competitive system, considering the role of time delay. Zbl 1428.92039
Khajanchi, Subhas; Nieto, Juan J.
2019
Stability analysis of almost periodic solutions of discontinuous BAM neural networks with hybrid time-varying delays and $$D$$ operator. Zbl 1427.93202
Kong, Fanchao; Zhu, Quanxin; Wang, Kai; Nieto, Juan J.
2019
On fractional Langevin equation involving two fractional orders in different intervals. Zbl 1439.34009
Baghani, Hamid; Nieto, Juan J.
2019
Semilinear fractional differential equations with infinite delay and non-instantaneous impulses. Zbl 1412.34014
Benchohra, Mouffak; Litimein, Sara; Nieto, Juan J.
2019
Terminal value problem for differential equations with Hilfer-Katugampola fractional derivative. Zbl 1425.34008
Benchohra, Mouffak; Bouriah, Soufyane; Nieto, Juan J.
2019
Robust fixed-time synchronization of discontinuous Cohen-Grossberg neural networks with mixed time delays. Zbl 1418.93212
Kong, Fanchao; Zhu, Quanxin; Liang, Feng; Nieto, Juan J.
2019
Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative. Zbl 1431.34006
Benchohra, Mouffak; Bouriah, Soufyane; Nieto, Juan J.
2019
Almost periodic dynamical behaviors of the hematopoiesis model with mixed discontinuous harvesting terms. Zbl 1425.34094
Kong, Fanchao; Nieto, Juan J.
2019
$$q$$-fractional differential equations with uncertainty. Zbl 1430.34009
Noeiaghdam, Z.; Allahviranloo, T.; Nieto, Juan J.
2019
Hilfer and Hadamard fractional differential equations in Fréchet spaces. Zbl 1427.34004
Abbas, Said; Benchohra, Mouffak; Hamidi, Naima; Nieto, Juan J.
2019
An investigation of fractional Bagley-Torvik equation. Zbl 1425.34010
Fazli, Hossein; Nieto, Juan J.
2019
A new generalized Gronwall inequality with a double singularity and its applications to fractional stochastic differential equations. Zbl 1472.34011
Ding, Xiao-Li; Daniel, Cao-Labora; Nieto, Juan J.
2019
A fixed-point theorem for monotone nearly asymptotically nonexpansive mappings. Zbl 07115533
Aggarwal, Sajan; Uddin, Izhar; Nieto, Juan J.
2019
Nonlocal time porous medium equation with fractional time derivative. Zbl 1422.35110
Djida, Jean-Daniel; Nieto, Juan J.; Area, Iván
2019
On impulsive nonlocal integro-initial value problems involving multi-order Caputo-type generalized fractional derivatives and generalized fractional integrals. Zbl 1459.34179
2019
Global attractivity for some classes of Riemann-Liouville fractional differential systems. Zbl 1431.34013
Tuan, H. T.; Czornik, Adam; Nieto, Juan J.; Niezabitowski, Michał
2019
Dhage iterative principle for quadratic perturbation of fractional boundary value problems with finite delay. Zbl 1429.34078
Gupta, Vidushi; Bora, Swaroop Nandan; Nieto, Juan J.
2019
Nonlocal time-porous medium equation: weak solutions and finite speed of propagation. Zbl 1420.35122
Djida, Jean-Daniel; Nieto, Juan J.; Area, Iván
2019
Extended type $$k$$-Mittag-Leffler function and its applications. Zbl 1414.26016
Kamarujjama, M.; Khan, N. U.; Khan, Owais; Nieto, Juan J.
2019
The revised generalized Tikhonov method for the backward time-fractional diffusion equation. Zbl 1461.35219
Deiveegan, Arumugam; Nieto, Juan J.; Prakash, Periasamy
2019
Periodic solutions of a nonautonomous Leslie-Gower predator-prey model with non-linear type prey harvesting on time scales. Zbl 1431.34097
Alam, Sultan; Abbas, Syed; Nieto, Juan J.
2019
Atangana-Baleanu derivative with fractional order applied to the gas dynamics equations. Zbl 1440.76132
Kumar, Sunil; Kumar, Amit; Nieto, J. J.; Sharma, B.
2019
Oscillation and nonoscillation for Caputo-Hadamard impulsive fractional diffrential equations. Zbl 1448.34012
Benchohra, Mouffak; Hamani, Samira; Nieto, Juan
2019
Controllability for impulsive fractional evolution inclusions with state-dependent delay. Zbl 1449.34269
Aissani, Khalida; Benchohra, Mouffak; Nieto, Juan J.
2019
A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. Zbl 1388.34005
Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong
2018
Fractional Langevin equation with anti-periodic boundary conditions. Zbl 1415.34016
Fazli, Hossein; Nieto, Juan J.
2018
Attractors for fractional differential problems of transition to turbulent flows. Zbl 1440.76038
Doungmo Goufo, Emile F.; Nieto, Juan J.
2018
Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential. Zbl 1393.49026
Harrat, Aicha; Nieto, Juan J.; Debbouche, Amar
2018
Existence of periodic solutions for nonlinear implicit Hadamard’s fractional differential equations. Zbl 1387.34004
Benchohra, Mouffak; Bouriah, Soufyane; Nieto, Juan J.
2018
Ebola model and optimal control with vaccination constraints. Zbl 1412.49005
Area, IvÁn; Ndaïrou, Faïçal; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
2018
New approach for studying nonlocal problems related to differential systems and partial differential equations in generalized fuzzy metric spaces. Zbl 1387.35612
Long, Hoang Viet; Nieto, Juan José; Son, Nguyen Thi Kim
2018
Analytical solutions for multi-term time-space fractional partial differential equations with nonlocal damping terms. Zbl 1439.35526
Ding, Xiao-Li; Nieto, Juan J.
2018
Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil. Zbl 1406.34083
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
2018
An iteration scheme for a family of multivalued mappings in CAT(0) spaces with an application to image recovery. Zbl 1393.54022
Uddin, Izhar; Ali, Javid; Nieto, Juan J.
2018
Pulse positive periodic solutions for some classes of singular nonlinearities. Zbl 1410.34051
Nieto, Juan J.; Uzal, José M.
2018
Positive periodic solutions for a first order singular ordinary differential equation generated by impulses. Zbl 1404.34030
Nieto, Juan J.; Uzal, José M.
2018
Approximating solution of Fabrizio-Caputo Volterra’s model for population growth in a closed system by homotopy analysis method. Zbl 1384.92048
Bashiri, Tahereh; Vaezpour, S. Mansour; Nieto, Juan J.
2018
Controllability of nonlinear fractional delay dynamical systems with prescribed controls. Zbl 1416.93028
Ding, Xiao-Li; Nieto, Juan J.
2018
Fixed point theorems in generalized Banach algebras and applications. Zbl 1462.47037
Nieto, J. J.; Ouahab, A.; Rodríguez-López, R.
2018
Periodic solutions for nonlinear fractional differential systems. Zbl 1417.34006
Abbas, Saïd; Benchohra, Mouffak; Bouriah, Soufyane; Nieto, Juan J.
2018
On the existence and uniqueness results for nonlinear sequential fractional differential equations. Zbl 1453.34006
Fazli, Hossein; Nieto, Juan J.; Bahrami, Fariba
2018
Necessary and sufficient conditions for the existence of non-constant solutions generated by impulses of second order BVPs with convex potential. Zbl 1413.34119
Bai, Liang; Dai, Binxiang; Nieto, Juan
2018
Anti-periodic boundary value problem for nonlinear implicit fractional differential equations with impulses. Zbl 1413.34008
Albarakati, Wafaa; Benchohra, Mouffak; Lazreg, Jamal E.; Nieto, Juan J.
2018
Existence and boundedness of solutions for systems of difference equations with infinite delay. Zbl 1394.39012
Nieto, Juan J.; Ouahab, Abdelghani; Slimani, Mohammed A.
2018
Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations. Zbl 1478.65057
Uddin, Izhar; Garodia, Chanchal; Nieto, Juan Jose
2018
Some deterministic and random fixed point theorems on a graph. Zbl 07000597
Nieto, Juan J.; Ouahab, Abdelghani; Rodríguez-López, Rosana
2018
Variational approach to differential equations with not instantaneous impulses. Zbl 1382.34028
Bai, Liang; Nieto, Juan J.
2017
A new family of the local fractional PDEs. Zbl 1386.35461
Yang, Xiao-Jun; Machado, J. A. Tenreiro; Nieto, Juan J.
2017
Analysis of an El Nino-Southern Oscillation model with a new fractional derivative. Zbl 1373.86007
Singh, Jagdev; Kumar, Devendra; Nieto, Juan J.
2017
Optimal solutions to relaxation in multiple control problems of Sobolev type with nonlocal nonlinear fractional differential equations. Zbl 1377.49012
Debbouche, Amar; Nieto, Juan J.; Torres, Delfim F. M.
2017
A coupled system of Caputo-type sequential fractional differential equations with coupled (periodic/anti-periodic type) boundary conditions. Zbl 1386.34008
Ahmad, Bashir; Nieto, Juan J.; Alsaedi, Ahmed; Aqlan, Mohammed H.
2017
Mathematical modeling of 2014 Ebola outbreak. Zbl 1381.34066
Area, Iván; Losada, Jorge; Ndaïrou, Faïçal; Nieto, Juan J.; Tcheutia, Daniel D.
2017
Extended Riemann-Liouville type fractional derivative operator with applications. Zbl 1391.26020
Agarwal, P.; Nieto, Juan J.; Luo, M.-J.
2017
On the attractivity of solutions for a class of multi-term fractional functional differential equations. Zbl 1453.34100
2017
The applications of critical-point theory to discontinuous fractional-order differential equations. Zbl 1377.34015
Tian, Yu; Nieto, Juan J.
2017
Variational approach to non-instantaneous impulsive nonlinear differential equations. Zbl 1412.34227
Bai, Liang; Nieto, Juan J.; Wang, Xiaoyun
2017
Random semilinear system of differential equations with impulses. Zbl 1474.34413
Baliki, A.; Nieto, J. J.; Ouahab, A.; Sinacer, M. L.
2017
Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions. Zbl 1413.35024
Jleli, Mohamed; Nieto, Juan; Samet, Bessem
2017
The international conference ‘Mathematical and computational modelling in science and technology’. Zbl 1355.00030
2017
On coupled Hadamard type sequential fractional differential equations with variable coefficients and nonlocal integral boundary conditions. Zbl 07459996
Aljoudi, Shorog; Ahmad, Bashir; Nieto, Juan J.; Alsaedi, Ahmed
2017
Analytical solutions for coupling fractional partial differential equations with Dirichlet boundary conditions. Zbl 07261223
Ding, Xiao-Li; Nieto, Juan J.
2017
Solvability of an implicit fractional integral equation via a measure of noncompactness argument. Zbl 1389.45005
Nieto, Juan J.; Samet, Bessem
2017
Fractional-order model for biocontrol of the lesser date moth in palm trees and its discretization. Zbl 1444.34009
El-Shahed, Moustafa; Nieto, Juan J.; Ahmed, A. M.; Abdelstar, IME
2017
Impulsive differential inclusions via variational method. Zbl 1377.34029
Benchohra, Mouffak; Nieto, Juan J.; Ouahab, Abdelghani
2017
Representation of $$(p,q)$$-Bernstein polynomials in terms of $$(p,q)$$-Jacobi polynomials. Zbl 1369.33020
Soleyman, F.; Area, I.; Masjed-Jamei, M.; Nieto, J. J.
2017
Mild solutions of Riemann-Liouville fractional differential equations with fractional impulses. Zbl 1420.34007
Anguraj, Annamalai; Kanjanadevi, Subramaniam; Nieto, Juan Jose
2017
Global exponential stability of general $$A$$-monotone implicit fuzzy proximal dynamical systems in Banach spaces. Zbl 1393.47048
Lan, Heng-you; Nieto, Juan J.; Cui, Yi-shun
2017
Second order evolution equations with nonlocal conditions. Zbl 1440.34063
Benchohra, Mouffak; Nieto, Juan J.; Rezoug, Noreddine
2017
Extremal solutions for a nonlinear impulsive differential equations with multi-orders fractional derivatives. Zbl 1474.34211
Zhang, Lihong; Nieto, Juan J.; Wang, Guotao
2017
On $$(p,q)$$-classical orthogonal polynomials and their characterization theorems. Zbl 1444.33007
Masjed-Jamei, M.; Soleyman, F.; Area, I.; Nieto, J. J.
2017
Dynamic analysis of a fractional order three-level food chain model. Zbl 1372.34082
Javidi, M.; Nieto, J. J.
2017
A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions. Zbl 1372.34006
Aljoudi, Shorog; Ahmad, Bashir; Nieto, Juan J.; Alsaedi, Ahmed
2016
A note on the fractional logistic equation. Zbl 1400.34003
Area, Iván; Losada, Jorge; Nieto, Juan J.
2016
...and 303 more Documents
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### Cited in 384 Serials

 416 Advances in Difference Equations 237 Abstract and Applied Analysis 220 Boundary Value Problems 189 Applied Mathematics and Computation 176 Fixed Point Theory and Applications 171 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 153 Computers & Mathematics with Applications 146 Journal of Mathematical Analysis and Applications 114 Chaos, Solitons and Fractals 113 Nonlinear Analysis. Real World Applications 108 Journal of Applied Mathematics and Computing 92 Journal of Computational and Applied Mathematics 88 Journal of Function Spaces 87 Applied Mathematics Letters 78 Journal of Inequalities and Applications 70 Fuzzy Sets and Systems 63 Fractional Calculus & Applied Analysis 62 Journal of Fixed Point Theory and Applications 61 Discrete Dynamics in Nature and Society 54 Filomat 53 Computational and Applied Mathematics 53 Communications in Nonlinear Science and Numerical Simulation 51 AIMS Mathematics 49 Mediterranean Journal of Mathematics 45 Mathematical Methods in the Applied Sciences 42 Mathematical and Computer Modelling 40 Mathematical Problems in Engineering 40 Journal of Nonlinear Science and Applications 39 Differential Equations and Dynamical Systems 37 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 36 Journal of the Franklin Institute 32 Fractals 32 International Journal of Applied and Computational Mathematics 31 Information Sciences 29 Journal of Applied Mathematics 27 Applied Mathematical Modelling 27 International Journal of Differential Equations 26 Applicable Analysis 25 Soft Computing 25 International Journal of Nonlinear Sciences and Numerical Simulation 25 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 25 Journal of Theoretical Biology 25 Journal of Mathematics 25 Open Mathematics 23 Nonlinear Analysis. Modelling and Control 21 Qualitative Theory of Dynamical Systems 21 Journal of Applied Analysis and Computation 20 Numerical Functional Analysis and Optimization 20 Results in Mathematics 20 Journal of Integral Equations and Applications 20 Nonlinear Dynamics 19 Journal of Optimization Theory and Applications 19 Rendiconti del Circolo Matemàtico di Palermo. Serie II 19 Afrika Matematika 19 Nonlinear Analysis. Theory, Methods & Applications 18 Acta Applicandae Mathematicae 18 Mathematical Biosciences and Engineering 18 Nonlinear Analysis. Hybrid Systems 18 Fractional Differential Calculus 17 International Journal of Computer Mathematics 16 Physica A 16 Rocky Mountain Journal of Mathematics 16 Differential Equations and Applications 16 Mathematical Sciences 15 Proceedings of the American Mathematical Society 15 Journal of Intelligent and Fuzzy Systems 15 Advances in Mathematical Physics 14 International Journal of Biomathematics 14 Evolution Equations and Control Theory 13 International Journal of Mathematics and Mathematical Sciences 13 Mathematics and Computers in Simulation 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 The Journal of Analysis 13 Georgian Mathematical Journal 12 Journal of Differential Equations 12 Complexity 12 Discrete and Continuous Dynamical Systems. Series B 12 Iranian Journal of Fuzzy Systems 12 Discrete and Continuous Dynamical Systems. Series S 11 Journal of the Egyptian Mathematical Society 11 Mathematical Modelling and Analysis 11 Thai Journal of Mathematics 10 Demonstratio Mathematica 10 Turkish Journal of Mathematics 10 Discrete and Continuous Dynamical Systems 9 International Journal of Control 9 Ukrainian Mathematical Journal 9 Stochastic Analysis and Applications 9 Topological Methods in Nonlinear Analysis 9 Journal of Difference Equations and Applications 9 Journal of Mathematical Chemistry 9 Vietnam Journal of Mathematics 9 Taiwanese Journal of Mathematics 9 Mathematical Modelling of Natural Phenomena 9 Symmetry 9 Mathematics 8 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 8 Mathematische Nachrichten 8 Acta Mathematicae Applicatae Sinica. English Series 8 Electronic Journal of Differential Equations (EJDE) ...and 284 more Serials
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### Cited in 55 Fields

 3,287 Ordinary differential equations (34-XX) 1,310 Operator theory (47-XX) 651 Real functions (26-XX) 618 General topology (54-XX) 558 Biology and other natural sciences (92-XX) 548 Partial differential equations (35-XX) 391 Integral equations (45-XX) 368 Numerical analysis (65-XX) 319 Systems theory; control (93-XX) 205 Dynamical systems and ergodic theory (37-XX) 181 Global analysis, analysis on manifolds (58-XX) 173 Difference and functional equations (39-XX) 131 Calculus of variations and optimal control; optimization (49-XX) 125 Probability theory and stochastic processes (60-XX) 60 Special functions (33-XX) 59 Functional analysis (46-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Operations research, mathematical programming (90-XX) 32 Mathematical logic and foundations (03-XX) 31 Abstract harmonic analysis (43-XX) 29 Combinatorics (05-XX) 28 Integral transforms, operational calculus (44-XX) 25 Approximations and expansions (41-XX) 25 Mechanics of particles and systems (70-XX) 25 Mechanics of deformable solids (74-XX) 23 Fluid mechanics (76-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Measure and integration (28-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 18 Computer science (68-XX) 17 Statistics (62-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 9 Functions of a complex variable (30-XX) 8 Optics, electromagnetic theory (78-XX) 8 Information and communication theory, circuits (94-XX) 7 Number theory (11-XX) 6 Potential theory (31-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Group theory and generalizations (20-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

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