## Mathematical Methods in the Applied Sciences

 Short Title: Math. Methods Appl. Sci. Publisher: Wiley (Wiley-Blackwell), Chichester ISSN: 0170-4214; 1099-1476/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476/issues Comments: Indexed cover-to-cover
 Documents Indexed: 7,198 Publications (since 1979) References Indexed: 4,126 Publications with 92,318 References.
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### Authors

 47 Băleanu, Dumitru I. 27 Simos, Theodore E. 27 Srivastava, Hari Mohan 25 Kirane, Mokhtar 24 Kravchenko, Vladislav V. 22 Zajączkowski, Wojciech M. 21 Qian, Tao 21 Tsitouras, Charalampos 20 Dehghan Takht Fooladi, Mehdi 20 Nguyen Huy Tuan 20 Wang, Jinrong 19 Boulaaras, Salah Mahmoud 19 Wendland, Wolfgang L. 18 Stephan, Ernst Peter 18 Wazwaz, Abdul-Majid Abdul-Rahman 17 Al-saedi, Ahmed Eid Salem 17 Qin, Yuming 17 Sommen, Franciscus 16 Guo, Boling 16 Morais, João Pedro 16 Samet, Bessem 16 Shah, Kamal 16 Tang, Xianhua 16 Werner, Peter 16 Zhou, Yong 15 Feireisl, Eduard 15 Gürlebeck, Klaus 15 Kress, Rainer 15 Leugering, Günter 15 Mu, Chunlai 15 Natroshvili, David 15 Nicaise, Serge 15 Sprekels, Jürgen 14 Akgül, Ali 14 Banasiak, Jacek 14 Fan, Jishan 14 O’Regan, Donal 14 Straughan, Brian 13 Bory Reyes, Juan 13 Stević, Stevo 13 Yin, Jingxue 12 Agarwal, Ravi P. 12 Bruzón, Maria Santos 12 Cortés López, Juan Carlos 12 Efendiev, Messoud 12 Gilbert, Robert Pertsch 12 Illner, Reinhard 12 Jleli, Mohamed Boussairi 12 Kraußhar, Rolf Sören 12 Messaoudi, Salim A. 12 Stratis, Ioannis G. 12 Witsch, Karl Josef 12 Xu, Yongzhi S. 11 Cerejeiras, Paula 11 Gandarias Núñez, Maria Luz 11 Kumam, Poom 11 Philippin, Gérard A. 11 Picard, Rainer H. 11 Sooppy Nisar, Kottakkaran 11 von Wolfersdorf, Lothar 11 Zada, Akbar 10 Ahmad, Bashir 10 Cao, Jinde 10 Chattopadhyay, Joydev 10 Constales, Denis 10 Cuevas, Claudio 10 Dassios, George 10 De Schepper, Hennie 10 Debbouche, Amar 10 Freeden, Willi 10 Fuchs, Martin 10 Hayat, Tasawar 10 Kang, Jum-Ran 10 Kou, Kit-Ian 10 Łada, Andrzej 10 Li, Tatsien 10 Liu, Wenbin 10 Quintanilla de Latorre, Ramón 10 Razzaghi, Mohsen 10 Reissig, Michael 10 Tan, Zhong 10 Teng, Zhi-dong 10 Torres, Delfim Fernando Marado 10 Weck, Norbert 10 Wu, Xian 9 Abreu-Blaya, Ricardo 9 Athanasiadis, Christodoulos E. 9 Brackx, Fred F. 9 Constanda, Christian 9 Fabrizio, Mauro 9 Feng, Baowei 9 Gao, Hongjun 9 Gómez-Aguilar, José Francisco 9 Hoffmann, Karl-Heinz 9 Kähler, Uwe 9 Kirsch, Andreas 9 Li, Yeping 9 Lubuma, Jean Mbaro-Saman 9 Łukaszewicz, Grzegorz 9 Meister, Erhard V. ...and 9,102 more Authors
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### Fields

 3,993 Partial differential equations (35-XX) 1,207 Ordinary differential equations (34-XX) 1,118 Fluid mechanics (76-XX) 1,095 Numerical analysis (65-XX) 841 Biology and other natural sciences (92-XX) 735 Mechanics of deformable solids (74-XX) 598 Operator theory (47-XX) 366 Integral equations (45-XX) 346 Dynamical systems and ergodic theory (37-XX) 314 Real functions (26-XX) 314 Systems theory; control (93-XX) 313 Optics, electromagnetic theory (78-XX) 266 Statistical mechanics, structure of matter (82-XX) 265 Calculus of variations and optimal control; optimization (49-XX) 229 Functions of a complex variable (30-XX) 220 Probability theory and stochastic processes (60-XX) 186 Harmonic analysis on Euclidean spaces (42-XX) 177 Classical thermodynamics, heat transfer (80-XX) 162 Approximations and expansions (41-XX) 152 Difference and functional equations (39-XX) 152 Functional analysis (46-XX) 152 Global analysis, analysis on manifolds (58-XX) 139 Special functions (33-XX) 117 Potential theory (31-XX) 101 Computer science (68-XX) 98 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 95 Integral transforms, operational calculus (44-XX) 93 Operations research, mathematical programming (90-XX) 93 Information and communication theory, circuits (94-XX) 91 Quantum theory (81-XX) 87 Linear and multilinear algebra; matrix theory (15-XX) 87 Mechanics of particles and systems (70-XX) 74 Differential geometry (53-XX) 61 Geophysics (86-XX) 58 Statistics (62-XX) 48 Astronomy and astrophysics (85-XX) 40 Combinatorics (05-XX) 38 Number theory (11-XX) 27 General topology (54-XX) 27 Relativity and gravitational theory (83-XX) 26 Topological groups, Lie groups (22-XX) 25 Sequences, series, summability (40-XX) 21 General and overarching topics; collections (00-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Abstract harmonic analysis (43-XX) 16 Nonassociative rings and algebras (17-XX) 16 Measure and integration (28-XX) 12 Geometry (51-XX) 11 History and biography (01-XX) 9 Manifolds and cell complexes (57-XX) 8 Algebraic geometry (14-XX) 8 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 6 Field theory and polynomials (12-XX) 6 Group theory and generalizations (20-XX) 5 Convex and discrete geometry (52-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX)

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4,999 Publications have been cited 34,099 times in 24,935 Documents Cited by Year
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Does a volume-filling effect always prevent chemotactic collapse? Zbl 1182.35220
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A remark on the regularity of solutions of Maxwell’s equations on Lipschitz domains. Zbl 0699.35028
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Global solutions in a fully parabolic chemotaxis system with singular sensitivity. Zbl 1291.92018
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Global existence and uniform stability of solutions for a quasilinear viscoelastic problem. Zbl 1121.35015
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General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping. Zbl 1183.35036
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On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation. Zbl 0878.35081
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Thin elastic and periodic plates. Zbl 0543.73073
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Formulation variationnelle espace-temps pour le calcul par potentiel retardé de la diffraction d’une onde acoustique. I. Zbl 0618.35069
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Robust exponential attractors for Cahn-Hilliard type equations with singular potentials. Zbl 1050.35113
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Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109
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$$(p,q)$$-generalization of Szász-Mirakyan operators. Zbl 1342.41019
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Thermoelasticity with second sound – exponential stability in linear and nonlinear 1D. Zbl 1008.74027
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Properties of positive solutions for nonlocal reaction-diffusion problems. Zbl 0990.35066
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On the classical solutions of the initial value problem for the unmodified non-linear Vlasov equation. Zbl 0463.35071
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Reduction of quasilinear equations in cylindrical domains with applications. Zbl 0647.35034
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On the integral equation method for the plane mixed boundary value problem of the Laplacian. Zbl 0461.65082
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Existence of global strong solution to the micropolar fluid system in a bounded domain. Zbl 1078.35096
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2005
On traces for functional spaces related to Maxwell’s equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Zbl 0976.46023
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2001
Guided waves by electromagnetic gratings and non-uniqueness examples for the diffraction problem. Zbl 0817.35109
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1994
Weak solutions of the initial value problem for the unmodified non-linear Vlasov equation. Zbl 0556.35022
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1984
On the rate of decay of solutions to linear viscoelastic equation. Zbl 0947.35020
Shibata, Yoshihiro
2000
An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability. Zbl 1255.35047
Marchand, R.; McDevitt, T.; Triggiani, R.
2012
A critical exponent in a degenerate parabolic equation. Zbl 1007.35043
Winkler, Michael
2002
Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1068.35020
Miranville, A.; Zelik, S.
2005
On the Vlasov hierarchy. Zbl 0492.35067
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1981
General decay of energy for a viscoelastic equation with nonlinear damping. Zbl 1161.35319
Han, Xiaosen; Wang, Mingxin
2009
Estimating $$\nabla{} u$$ by div $$u$$ and curl $$u$$. Zbl 0747.31006
von Wahl, Wolf
1992
On a non-stationary Ginzburg-Landau superconductivity model. Zbl 0817.35111
Chen, Zhiming; Hoffmann, K.-H.; Liang, Jin
1993
Semilinear structural damped waves. Zbl 1295.35324
D’Abbicco, M.; Reissig, M.
2014
The rate of convergence of $$q$$-Durrmeyer operators for $$0<q<1$$. Zbl 1154.41008
Gupta, Vijay; Wang, Heping
2008
A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels. Zbl 0683.45006
Stewart, I. W.
1989
Solution representations for a wave equation with weak dissipation. Zbl 1036.35119
Wirth, Jens
2004
Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses. Zbl 1196.35025
Dehghan, Mehdi; Heris, Jalil Manafian; Saadatmandi, Abbas
2010
Inverse scattering from an open arc. Zbl 0824.35030
Kress, Rainer
1995
Global properties of a class of HIV infection models with Beddington-DeAngelis functional response. Zbl 1329.34089
Elaiw, A. M.; Azoz, S. A.
2013
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
1991
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
2015
Finite time blow-up for a nonlinear parabolic equation with a gradient term and applications. Zbl 0858.35067
Souplet, Philippe
1996
Nonlinear damped Timoshenko systems with second sound - global existence and exponential stability. Zbl 1156.35321
Messaoudi, Salim A.; Pokojovy, Michael; Said-Houari, Belkacem
2009
Symmetry group classification of ordinary differential equations: Survey of some results. Zbl 1135.34029
Mahomed, F. M.
2007
Global exponential convergence in a delayed almost periodic Nicholson’s blowflies model with discontinuous harvesting. Zbl 1446.65033
Duan, Lian; Fang, Xianwen; Huang, Chuangxia
2018
The $$8\pi$$-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131
2006
On the classical solutions of the initial value problem for the unmodified non-linear Vlasov equation. II: Special cases. Zbl 0485.35079
Horst, E.
1982
A predator-prey model with disease in the prey species only. Zbl 1115.92049
Greenhalgh, David; Haque, Mainul
2007
Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs. Zbl 1387.65066
Simos, T. E.; Tsitouras, Ch.
2017
Hermitian Clifford analysis and resolutions. Zbl 1013.30033
2002
On the asymptotic growth of the solutions of the Vlasov–Poisson system. Zbl 0782.35079
Horst, E.
1993
A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity. Zbl 1333.35100
Lankeit, Johannes
2016
Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168
Shen, Zifei; Gao, Fashun; Yang, Minbo
2016
Pedestrian flows and non-classical shocks. Zbl 1108.90016
Colombo, Rinaldo M.; Rosini, Massimiliano D.
2005
Stationary solutions of the linearized Boltzmann equation in a half- space. Zbl 0679.35021
Golse, F.; Poupaud, F.
1989
Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order ($$\alpha, \beta$$). Zbl 1177.49036
El-Nabulsi, Rami Ahmad; Torres, Delfim F. M.
2007
Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications. Zbl 1384.34010
Almeida, Ricardo; Malinowska, Agnieszka B.; Monteiro, M. Teresa T.
2018
Modified two-step hybrid methods for the numerical integration of oscillatory problems. Zbl 1383.65074
Monovasilis, T.; Kalogiratou, Z.; Ramos, Higinio; Simos, T. E.
2017
New decay estimates for linear damped wave equations and its application to nonlinear problem. Zbl 1049.35135
Ikehata, Ryo
2004
An integral equation method for the electromagnetic scattering from cavities. Zbl 0991.78012
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2000
Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations. Zbl 1137.76071
Yuan, Jia
2008
The threshold of effective damping for semilinear wave equations. Zbl 1316.35201
D’Abbicco, Marcello
2015
An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions. Zbl 1267.80013
Kirane, Mokhtar; Malik, Salman A.; Al-Gwaiz, Mohammed A.
2013
On the existence of solutions to the Navier-Stokes-Poisson equations of a two-dimensional compressible flow. Zbl 1107.76065
Zhang, Yinghui; Tan, Zhong
2007
The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges. Zbl 0911.65107
Apel, Thomas; Nicaise, Serge
1998
The blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0735.35014
Fila, Marek; Quittner, Pavol
1991
Boundary integral equations for mixed Dirichlet, Neumann and transmission problems. Zbl 0694.35048
von Petersdorff, T.
1989
Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger-Poisson systems. Zbl 0808.35116
Illner, Reinhard; Zweifel, Paul F.; Lange, Horst
1994
Spectral parameter power series for Sturm-Liouville problems. Zbl 1202.34060
Kravchenko, Vladislav V.; Porter, R. Michael
2010
The one-dimensional chemotaxis model: global existence and asymptotic profile. Zbl 1081.92005
Hillen, Thomas; Potapov, Alex
2004
On the stabilization of the Timoshenko system by a weak nonlinear dissipation. Zbl 1171.35014
Messaoudi, Salim A.; Mustafa, Muhammad I.
2009
Some applications of a Galerkin-Collocation method for boundary integral equations of the first kind. Zbl 0546.65091
Hsiao, G. C.; Kopp, P.; Wendland, W. L.
1984
Functional spaces for Norton-Hoff materials. Zbl 0616.73010
Geymonat, G.; Suquet, P.
1986
Shock formation in a chemotaxis model. Zbl 1147.35057
Wang, Zhian; Hillen, Thomas
2008
Global existence for degenerate parabolic equations with a non-local forcing. Zbl 0883.35066
Anderson, Jeffrey R.; Deng, Keng
1997
Delta and singular delta locus for one-dimensional systems of conservation laws. Zbl 1056.35115
Nedeljkov, Marko
2004
Formulation variationnelle pour le calcul de la diffraction d’une onde acoustique par une surface rigide. (Variational formulation for the computation of the diffraction of an acoustic wave by a rigid surface). Zbl 0636.65119
Bamberger, A.; Ha Duong, T.
1986
An ecoepidemiological model with disease in predator: the ratio-dependent case. Zbl 1126.92050
Haque, Mainul; Venturino, Ezio
2007
Construction of a new family of Bernstein-Kantorovich operators. Zbl 1387.41008
Mohiuddine, S. A.; Acar, Tuncer; Alotaibi, Abdullah
2017
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096
Costabel, Martin; Dauge, Monique
1999
Asymptotic behaviour of solutions to some pseudoparabolic equations. Zbl 0869.35057
Karch, Grzegorz
1997
Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation. Zbl 1110.74054
Bebendorf, M.; Grzhibovskis, R.
2006
Optimal decay rates for the viscoelastic wave equation. Zbl 1391.35058
2018
The effect of a thin inclusion of high rigidity in an elastic body. Zbl 0446.73014
Caillerie, D.
1980
General interface problems. I. Zbl 0824.35014
Nicaise, Serge; Sändig, Anna-Margarete
1994
Stochastic functional differential equations with infinite delay driven by $$G$$-Brownian motion. Zbl 1274.60212
Ren, Yong; Bi, Qiang; Sakthivel, R.
2013
A new family of 7 stages, eighth-order explicit Numerov-type methods. Zbl 1387.65067
Simos, T. E.; Tsitouras, Ch.
2017
Existence, uniqueness and mass conservation for the coagulation-fragmentation equation. Zbl 0852.45016
Dubovskiĭ, P. B.; Stewart, P. B.
1996
Modelling of dynamic networks of thin thermoelastic beams. Zbl 0773.73060
Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G.
1993
Strong solutions to the incompressible magnetohydrodynamic equations. Zbl 1254.35187
Chen, Qing; Tan, Zhong; Wang, Yanjin
2011
Modeling some real phenomena by fractional differential equations. Zbl 1355.34075
Almeida, Ricardo; Bastos, Nuno R. O.; Monteiro, M. Teresa T.
2016
Critical extinction and blow-up exponents for fast diffusive $$p$$-Laplacian with sources. Zbl 1151.35310
Yin, Jingxue; Jin, Chunhua
2007
Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model. Zbl 1310.35005
Jin, Hai-Yang; Wang, Zhi-An
2015
A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
Global non-existence of solutions of a class of wave equations with non-linear damping and source terms. Zbl 1073.35178
Messaoudi, Salim A.; Houari, Belkacem Said
2004
A structural observation for linear material laws in classical mathematical physics. Zbl 1200.35050
Picard, Rainer
2009
Hyers-Ulam stability of nonlinear differential equations with fractional integrable impulses. Zbl 1387.34026
Zada, Akbar; Ali, Wajid; Farina, Syed
2017
A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation. Zbl 1250.35015
Dehghan, Mehdi; Salehi, Rezvan
2012
On the equivalence of the Schrödinger and the quantum Liouville equations. Zbl 0696.47042
Markowich, Peter A.
1989
General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, logarithmic nonlinearity and distributed delay terms. Zbl 1471.35043
Choucha, Abdelbaki; Boulaaras, Salah; Ouchenane, Djamel; Beloul, Said
2021
Existence and uniqueness for $$\varPsi$$-Hilfer fractional differential equation with nonlocal multi-point condition. Zbl 07376689
Borisut, Piyachat; Kumam, Poom; Ahmed, Idris; Jirakitpuwapat, Wachirapong
2021
Simpson and Newton type inequalities for convex functions via newly defined quantum integrals. Zbl 1470.26023
Budak, Hüseyin; Erden, Samet; Ali, Muhammad Aamir
2021
Some new Simpson’s type inequalities for coordinated convex functions in quantum calculus. Zbl 1473.26016
Ali, Muhammad Aamir; Budak, Hüseyin; Zhang, Zhiyue; Yildirim, Hüseyin
2021
Solitary and periodic wave solutions of the generalized fourth-order Boussinesq equation via He’s variational methods. Zbl 1473.35493
Wang, Kang-Jia; Wang, Guo-Dong
2021
A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems. Zbl 07415641
Kumar, Kamalesh; Podila, Pramod Chakravarthy; Das, Pratibhamoy; Ramos, Higinio
2021
Jensen-Grüss inequality and its applications for the Zipf-Mandelbrot law. Zbl 1472.26006
Butt, Saad Ihsan; Bakula, Milica Klaričić; Pečarić, Đilda; Pečarić, Josip
2021
Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009
Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin
2021
A study of the fractal foam drainage model in a microgravity space. Zbl 1473.35641
Wang, Kang-Le
2021
Asymptotic profiles of the endemic equilibrium of a diffusive SIS epidemic system with saturated incidence rate and spontaneous infection. Zbl 1475.35368
Zhang, Jialiang; Cui, Renhao
2021
A critical Kirchhoff-type problem driven by a $$p ( \cdot )$$-fractional Laplace operator with variable $$s ( \cdot )$$ -order. Zbl 1469.35236
Zuo, Jiabin; An, Tianqing; Fiscella, Alessio
2021
Monotonicity results for nabla fractional $$h$$-difference operators. Zbl 1470.39042
Liu, Xiang; Du, Feifei; Anderson, Douglas; Jia, Baoguo
2021
The nonlinear Rayleigh-Stokes problem with Riemann-Liouville fractional derivative. Zbl 1475.35297
Zhou, Yong; Wang, Jing Na
2021
A modified self-adaptive extragradient method for pseudomonotone equilibrium problem in a real Hilbert space with applications. Zbl 1472.90143
Rehman, Habib Ur; Kumam, Poom; Dong, Qiao-Li; Cho, Yeol Je
2021
On the spaces of Cesàro absolutely $$p$$-summable, null, and convergent sequences. Zbl 1480.46006
2021
Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity. Zbl 1469.35168
Chen, Hui; Fang, Daoyuan; Zhang, Ting
2021
Classes of operators in fractional calculus: a case study. Zbl 07377140
Fernandez, Arran; Baleanu, Dumitru
2021
A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials. Zbl 07377144
Youssri, Youssri H.; Abd-Elhameed, Waleed M.; Abdelhakem, Mohamed
2021
An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law. Zbl 1471.35301
2021
On systems of fractional differential equations with the $$\psi$$-Caputo derivative and their applications. Zbl 1472.93073
Almeida, Ricardo; Malinowska, Agnieszka Barbara; Odzijewicz, Tatiana
2021
On the characteristic Adomian decomposition method for the Riemann problem. Zbl 1471.35007
Zeidan, Dia; Chau, Chi Kin; Lu, Tzon-Tzer
2021
Fractional $$h$$-differences with exponential kernels and their monotonicity properties. Zbl 1473.39009
2021
On the parabolic-elliptic Keller-Segel system with signal-dependent motilities: a paradigm for global boundedness and steady states. Zbl 1475.35366
Wang, Zhi-An
2021
On a class of coupled critical Hartree system with deepening potential. Zbl 1472.35140
Zheng, Yu; Gao, Fashun; Shen, Zifei; Yang, Minbo
2021
Blow-up for wave equation with the scale-invariant damping and combined nonlinearities. Zbl 1469.35055
Hamouda, Makram; Hamza, Mohamed Ali
2021
Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness. Zbl 07376617
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
2021
Recovery of timewise-dependent heat source for hyperbolic PDE from an integral condition. Zbl 07376619
2021
Henry-Gronwall type $$q$$-fractional integral inequalities. Zbl 1470.39018
Ben Makhlouf, Abdellatif; Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru
2021
Hermite-Hadamard type inequalities for generalized Riemann-Liouville fractional integrals of $$h$$-convex functions. Zbl 1472.26007
Dragomir, Silvestru Sever
2021
A novel approach to the Jensen gap through Taylor’s theorem. Zbl 1472.26009
Khan, Muhammad Adil; Khan, Shahid; Ullah, Inam; Khan, Khuram Ali; Chu, Yu-Ming
2021
Some exact solutions of a variable coefficients fractional biological population model. Zbl 1475.35345
Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru
2021
Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms. Zbl 1470.35056
Choucha, Abdelbaki; Boulaaras, Salah; Ouchenane, Djamel
2021
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative. Zbl 1470.35104
2021
Optimal control of a new mechanochemical model with state constraint. Zbl 1469.49047
Liu, Changchun; Zhang, Xiaoli
2021
Theoretical prospects of fractional order weakly singular Volterra integro differential equations and their approximations with convergence analysis. Zbl 07377156
Das, Pratibhamoy; Rana, Subrata
2021
Blow-up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain. Zbl 1471.35059
2021
Quantum Ostrowski-type integral inequalities for functions of two variables. Zbl 1475.26014
Budak, Hüseyin; Ali, Muhammad Aamir; Tunç, Tuba
2021
Study on the explicit solutions of the Benney-Luke equation via the variational direct method. Zbl 07441950
Wang, Kang-Jia; Wang, Guo-Dong
2021
A complex analysis approach to Atangana-Baleanu fractional calculus. Zbl 1476.33013
Fernandez, Arran
2021
On solvability of nonlinear fractional differential systems involving nonlocal initial conditions. Zbl 1479.34013
Matar, Mohammed M.; Skhail, Esmail S. Abu; Alzabut, Jehad
2021
Hermite-Hadamard inequalities in fractional calculus defined using Mittag-Leffler kernels. Zbl 1476.26018
Fernandez, Arran; Mohammed, Pshtiwan
2021
Numerical simulation of telegraph and Cattaneo fractional-type models using adaptive reproducing kernel framework. Zbl 07387611
Al-Smadi, Mohammed; Arqub, Omar Abu; Gaith, Mohamed
2021
Dual transformations and quaternions. Zbl 1477.53011
Yüca, Gülsüm; Yaylı, Yusuf
2021
New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method. Zbl 1473.35508
Kaabar, Mohammed K. A.; Martínez, Francisco; Gómez-Aguilar, José Francisco; Ghanbari, Behzad; Kaplan, Melike; Günerhan, Hatira
2021
Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives. Zbl 1475.92163
2021
A new least-squares-based reproducing kernel method for solving regular and weakly singular Volterra-Fredholm integral equations with smooth and nonsmooth solutions. Zbl 07394281
Xu, Minqiang; Niu, Jing; Tohidi, Emran; Hou, Jinjiao; Jiang, Danhua
2021
Solution method for the time-fractional hyperbolic heat equation. Zbl 1476.35302
Dassios, Ioannis; Font, Francesc
2021
A note on the finite fractal dimension of the global attractors for dissipative nonlinear Schrödinger-type equations. Zbl 1476.37089
Alouini, Brahim
2021
Hermite-Hadamard-type inequalities for interval-valued coordinated convex functions involving generalized fractional integrals. Zbl 1472.26008
Kara, Hasan; Ali, Muhammad Aamir; Budak, Hüseyin
2021
Ergodicity and threshold behaviors of a predator-prey model in stochastic chemostat driven by regime switching. Zbl 1472.34098
Wang, Liang; Jiang, Daqing
2021
Stability of discrete-time fractional-order time-delayed neural networks in complex field. Zbl 1479.39020
Pratap, Anbalagan; Raja, Ramachandran; Cao, Jinde; Huang, Chuangxia; Niezabitowski, Michal; Bagdasar, Ovidiu
2021
Structure preserving model order reduction of shallow water equations. Zbl 07376545
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat
2021
On the wave solutions of time-fractional Sawada-Kotera-Ito equation arising in shallow water. Zbl 1472.35436
Jena, Rajarama Mohan; Chakraverty, Snehashish; Jena, Subrat Kumar; Sedighi, Hamid M.
2021
Global synchronization of fractional-order and integer-order $$N$$ component reaction diffusion systems: application to biochemical models. Zbl 1476.37109
Mesdoui, Fatiha; Shawagfeh, Nabil; Ouannas, Adel
2021
Analysis of the fractional corona virus pandemic via deterministic modeling. Zbl 1472.34097
Tuan, Nguyen Huy; Tri, Vo Viet; Baleanu, Dumitru
2021
The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model. Zbl 1476.37102
2021
New intregral transform with generalized Bessel-Maitland function kernel and its applications. Zbl 1482.44001
Albayrak, Durmuş; Dernek, Ahmet; Dernek, Neşe; Uçar, Faruk
2021
Complex dynamics of some models of antimicrobial resistance on complex networks. Zbl 1471.34085
Ahmed, Elsayd; Matouk, Ahmed E.
2021
Hermite-Hadamard inequalities for Riemann-Liouville fractional integrals of a convex function with respect to a monotone function. Zbl 1472.26013
Mohammed, Pshtiwan Othman
2021
Positivity of the fundamental solution for fractional diffusion and wave equations. Zbl 1470.35396
Kemppainen, Jukka
2021
Solutions of abstract integro-differential equations via Poisson transformation. Zbl 1470.45017
Lizama, Carlos; Ponce, Rodrigo
2021
Existence and regularity of inverse problem for the nonlinear fractional Rayleigh-Stokes equations. Zbl 1472.35448
Bao, Ngoc Tran; Hoang, Luc Nguyen; Van, Au Vo; Nguyen, Huy Tuan; Zhou, Yong
2021
Solutions of system of Volterra integro-differential equations using optimal homotopy asymptotic method. Zbl 1472.45001
Agarwal, Praveen; Akbar, Muhammad; Nawaz, Rashid; Jleli, Mohamed
2021
Analytical and semi-analytical solutions for time-fractional Cahn-Allen equation. Zbl 1470.35114
Khater, Mostafa M. A.; Bekir, Ahmet; Lu, Dianchen; Attia, Raghda A. M.
2021
A simple numerical method for two-dimensional nonlinear fractional anomalous sub-diffusion equations. Zbl 07376713
Sweilam, N. H.; Ahmed, S. M.; Adel, M.
2021
Numerical solution of nonlinear fractal-fractional optimal control problems by Legendre polynomials. Zbl 07376715
2021
Numerical solution of time-fractional singularly perturbed convection-diffusion problems with a delay in time. Zbl 1473.65259
Kumar, Kamalesh; Chakravarthy P., Pramod; Vigo-Aguiar, J.
2021
Existence and uniqueness results for initial value problem of nonlinear fractional integro-differential equation on an unbounded domain in a weighted Banach space. Zbl 1471.34147
Boulfoul, A.; Tellab, B.; Abdellouahab, N.; Zennir, Kh.
2021
Bound state solutions of Choquard equations with a nonlocal operator. Zbl 1472.35185
Guo, Lun; Li, Qi
2021
A variable-order fractional $$p (\cdot )$$-Kirchhoff type problem in $$\mathbb{R}^N$$. Zbl 1479.35403
Zuo, Jiabin; Yang, Libo; Liang, Sihua
2021
Uniqueness of generalized solution to micropolar viscous real gas flow with homogeneous boundary conditions. Zbl 1473.76044
Bašić-Šiško, Angela; Dražić, Ivan
2021
Analysis of $$q$$-fractional implicit boundary value problems having Stieltjes integral conditions. Zbl 1471.39007
Zada, Akbar; Alam, Mehboob; Riaz, Usman
2021
Investigating new positive, bounded, and convergent numerical solution for the nonlinear time-dependent breast cancer dynamic competition model. Zbl 07376943
Goyal, Manish; Bhardwaj, Vinod Kumar; Prakash, Amit
2021
Qualitative analysis of solutions for the $$p$$-Laplacian hyperbolic equation with logarithmic nonlinearity. Zbl 1472.35171
Pişkin, Erhan; Boulaaras, Salah; Irkil, Nazli
2021
On novel nondifferentiable exact solutions to local fractional Gardner’s equation using an effective technique. Zbl 07376945
2021
Numerical solution of Volterra integral equations via Szász-Mirakyan approximation method. Zbl 07377069
Usta, Fuat; İlkhan, Merve; Kara, Emrah Evren
2021
Numerical simulation for the mixed convective flow of non-Newtonian fluid with activation energy and entropy generation. Zbl 1475.35283
2021
Solving fractional Black-Scholes equation by using Boubaker functions. Zbl 07377102
Khajehnasiri, A. A.; Safavi, M.
2021
Global stability analysis of a fractional SVEIR epidemic model. Zbl 1470.92331
2021
On nonlinear coupled evolution system with nonlocal subsidiary conditions under fractal-fractional order derivative. Zbl 1478.34085
Abdo, Mohammed S.; Abdeljawad, Thabet; Shah, Kamal; Ali, Saeed M.
2021
Advance in compact structure-preserving manner to the Rosenau-Kawahara model of shallow-water wave. Zbl 1473.65125
Wongsaijai, Ben; Charoensawan, Phakdi; Chaobankoh, Tanadon; Poochinapan, Kanyuta
2021
On new abundant solutions of the complex nonlinear Fokas-Lenells equation in optical fiber. Zbl 1479.35215
Wang, Kang-Jia; Zou, Bo-Rong
2021
Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping. Zbl 1479.35089
Charão, Ruy Coimbra; D&rsquo;Abbicco, Marcello; Ikehata, Ryo
2021
Statistical solutions for a nonautonomous modified Swift-Hohenberg equation. Zbl 07441973
Wang, Jintao; Zhang, Xiaoqian; Zhao, Caidi
2021
A remark on the well-posedness of the classical Green-Naghdi system. Zbl 07441975
Khorbatly, Bashar
2021
New various multisoliton kink-type solutions of the (1 +1)-dimensional Mikhailov-Novikov-Wang equation. Zbl 1479.35213
Ray, Santanu Saha; Singh, Shailendra
2021
Rogue waves on the general periodic traveling wave background for an extended modified Korteweg-de Vries equation. Zbl 1479.35723
Lou, Yu; Zhang, Yi; Ye, Rusuo
2021
Optimal solutions for singular linear systems of Caputo fractional differential equations. Zbl 1478.34007
Dassios, Ioannis; Baleanu, Dumitru
2021
Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis. Zbl 1471.49003
Arqub, Omar Abu; Shawagfeh, Nabil
2021
Numerical solutions of fuzzy time fractional advection-diffusion equations in double parametric form of fuzzy number. Zbl 1473.65133
Zureigat, Hamzeh; Ismail, Ahmad Izani; Sathasivam, Saratha
2021
Controllability of impulsive fractional functional evolution equations with infinite state-dependent delay in Banach spaces. Zbl 1470.93018
Aimene, Djihad; Seba, Djamila; Laoubi, Karima
2021
A fractional-order model with time delay for tuberculosis with endogenous reactivation and exogenous reinfections. Zbl 1475.92151
Chinnathambi, Rajivganthi; Rihan, Fathalla A.; Alsakaji, Hebatallah J.
2021
Two-sided and regularised Riesz-Feller derivatives. Zbl 1479.26008
Ortigueira, Manuel Duarte
2021
On using coupled fixed-point theorems for mild solutions to coupled system of multipoint boundary value problems of nonlinear fractional hybrid pantograph differential equations. Zbl 1483.34103
Iqbal, Muhammad; Shah, Kamal; Khan, Rahmat Ali
2021
Existence and uniqueness of solutions for nonlinear Volterra-Fredholm integro-differential equation of fractional order with boundary conditions. Zbl 1473.45011
2021
A highly accurate numerical method for solving nonlinear time-fractional differential difference equation. Zbl 07387596
Khalid, Muhammad; Khan, Fareeha Sami; Sultana, Mariam
2021
Systems of Riemann-Liouville fractional differential equations with nonlocal boundary conditions. Existence, nonexistence, and multiplicity of solutions: method of fixed point index. Zbl 1476.34069
2021
Blow-up and lifespan estimates of solutions to the weakly coupled system of semilinear Moore-Gibson-Thompson equations. Zbl 1473.35070
Ming, Sen; Yang, Han; Fan, Xiongmei
2021
Stability analysis of a stage-structure model with spatial heterogeneity. Zbl 1471.92272
Yan, Shuling; Guo, Shangjiang
2021
On a class of semilinear nonclassical fractional wave equations with logarithmic nonlinearity. Zbl 1475.35400
Van, Au Vo; Thi, Kim Van Ho; Nguyen, Anh Tuan
2021
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### Cited by 22,766 Authors

 105 Mu, Chunlai 98 Băleanu, Dumitru I. 91 Messaoudi, Salim A. 74 Nicaise, Serge 70 Miranville, Alain M. 67 Quintanilla de Latorre, Ramón 64 O’Regan, Donal 63 Boulaaras, Salah Mahmoud 61 Qian, Tao 61 Winkler, Michael 59 Stephan, Ernst Peter 57 Al-saedi, Ahmed Eid Salem 57 Elaiw, Ahmed M. 56 Fan, Jishan 53 Bory Reyes, Juan 53 Zheng, Sining 52 Agarwal, Ravi P. 51 Chu, Yuming 51 Dehghan Takht Fooladi, Mehdi 50 Abdeljawad, Thabet 50 Mursaleen, Mohammad 48 Abreu-Blaya, Ricardo 47 Sommen, Franciscus 47 Wendland, Wolfgang L. 46 Nazarov, Sergeĭ Aleksandrovich 46 Simos, Theodore E. 44 Colli, Pierluigi 44 De Schepper, Hennie 44 Said-Houari, Belkacem 44 Wang, Jinrong 43 Ahmad, Bashir 43 Liu, Wenjun 43 Zheng, Pan 42 Shah, Kamal 41 Nguyen Huy Tuan 41 Torres, Delfim Fernando Marado 40 Brackx, Fred F. 40 Tatar, Nasser-eddine 40 Zada, Akbar 39 Lasiecka, Irena 39 Sabadini, Irene 38 Colombo, Fabrizio 38 Li, Yeping 38 Srivastava, Hari Mohan 38 Tan, Zhong 37 Grasselli, Maurizio 37 Hiptmair, Ralf 37 Jeribi, Aref 37 Kravchenko, Vladislav V. 37 Leugering, Günter 37 Muñoz Rivera, Jaime Edilberto 37 Neff, Patrizio 37 Zhou, Yong 36 Feireisl, Eduard 36 Hayat, Tasawar 36 Nečasová, Šárka 36 Roubíček, Tomáš 36 Tang, Xianhua 36 Zhu, Changjiang 35 Carrillo de la Plata, José Antonio 35 Ciarlet, Patrick jun. 35 Goodrich, Christopher S. 35 Qin, Yuming 34 Banasiak, Jacek 34 Cao, Jinde 34 D’Abbicco, Marcello 34 Zhou, Jun 33 Kähler, Uwe 33 Khludnev, Aleksandr Mikhaĭlovich 32 Ammari, Habib M. 32 Ciarlet, Philippe Gaston 32 Ikehata, Ryo 32 Pata, Vittorino 32 Samet, Bessem 32 Sprekels, Jürgen 32 Straughan, Brian 32 Wang, Mingxin 31 Feng, Baowei 31 Marchioro, Carlo 31 Mielke, Alexander 31 Racke, Reinhard 31 Ramm, Alexander G. 30 Agrawal, Purshottam Narain 30 Guo, Boling 30 Rocca, Elisabetta 30 Wu, Yonghong 30 Yang, Zhijian 30 Zhang, Xianwen 29 Kress, Rainer 29 Li, Peijun 29 Wang, Liangchen 28 Kumar, Sunil 28 Nieto Roig, Juan Jose 28 Pauly, Dirk 28 Sayas, Francisco-Javier 28 Wang, Zhian 28 Yao, Zhengan 27 Amrouche, Chérif 27 Brenner, Susanne Cecelia 27 Khan, Aziz ...and 22,666 more Authors
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### Cited in 838 Journals

 1,095 Journal of Mathematical Analysis and Applications 1,008 Mathematical Methods in the Applied Sciences 722 Journal of Differential Equations 656 Applied Mathematics and Computation 521 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 499 Advances in Difference Equations 438 Applicable Analysis 429 Computers & Mathematics with Applications 426 Journal of Computational and Applied Mathematics 406 ZAMP. Zeitschrift für angewandte Mathematik und Physik 380 Nonlinear Analysis. Real World Applications 329 Boundary Value Problems 315 Applied Mathematics Letters 313 Journal of Mathematical Physics 292 Chaos, Solitons and Fractals 271 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 227 Applied Numerical Mathematics 220 Journal of Computational Physics 195 Discrete and Continuous Dynamical Systems. Series B 184 Archive for Rational Mechanics and Analysis 184 Computer Methods in Applied Mechanics and Engineering 182 Communications on Pure and Applied Analysis 181 SIAM Journal on Mathematical Analysis 180 Computational and Applied Mathematics 179 Journal of Inequalities and Applications 173 AIMS Mathematics 170 Acta Applicandae Mathematicae 167 Discrete and Continuous Dynamical Systems 163 Journal of Function Spaces 157 Numerische Mathematik 156 Abstract and Applied Analysis 149 Discrete and Continuous Dynamical Systems. Series S 146 Communications in Partial Differential Equations 144 Mathematics and Computers in Simulation 140 Communications in Nonlinear Science and Numerical Simulation 133 Mathematical Problems in Engineering 133 Nonlinear Dynamics 132 Advances in Applied Clifford Algebras 127 Mathematics of Computation 121 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 120 Mediterranean Journal of Mathematics 116 International Journal of Applied and Computational Mathematics 113 Communications in Mathematical Physics 113 Journal of Scientific Computing 113 Complex Variables and Elliptic Equations 112 Engineering Analysis with Boundary Elements 112 Discrete Dynamics in Nature and Society 108 Applied Mathematics and Optimization 108 Journal of Mathematical Sciences (New York) 107 Journal de Mathématiques Pures et Appliquées. Neuvième Série 104 Applied Mathematical Modelling 102 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 101 Advances in Mathematical Physics 98 Quarterly of Applied Mathematics 98 Comptes Rendus. Mathématique. Académie des Sciences, Paris 97 International Journal of Computer Mathematics 97 Journal of Mathematical Fluid Mechanics 93 Numerical Functional Analysis and Optimization 92 Journal of Elasticity 92 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 91 Inverse Problems 91 Journal of Mathematical Chemistry 88 Journal of Evolution Equations 87 Journal of Applied Mathematics and Computing 87 International Journal of Biomathematics 87 Nonlinear Analysis. Theory, Methods & Applications 86 Journal of Integral Equations and Applications 85 Fractals 85 Complexity 84 Journal of Functional Analysis 84 Physica D 83 Numerical Algorithms 82 Mathematical and Computer Modelling 81 Evolution Equations and Control Theory 79 Complex Analysis and Operator Theory 76 Journal of the Franklin Institute 76 Transport Theory and Statistical Physics 75 Results in Mathematics 74 Numerical Methods for Partial Differential Equations 74 Calculus of Variations and Partial Differential Equations 72 SIAM Journal on Applied Mathematics 72 Mathematical Biosciences and Engineering 70 Journal of Applied Analysis and Computation 69 Journal of Statistical Physics 69 Journal of Inverse and Ill-Posed Problems 68 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 68 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 67 Inverse Problems in Science and Engineering 66 SIAM Journal on Numerical Analysis 66 Mathematics and Mechanics of Solids 65 Integral Equations and Operator Theory 63 Chinese Annals of Mathematics. Series B 63 NoDEA. Nonlinear Differential Equations and Applications 62 Annali di Matematica Pura ed Applicata. Serie Quarta 62 Zeitschrift für Analysis und ihre Anwendungen 61 Fractional Calculus & Applied Analysis 61 Differential Equations 60 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 60 Journal of Applied Mathematics 59 Mathematische Nachrichten ...and 738 more Journals
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