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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: 6,998 Publications (since 1979) References Indexed: 4,127 Publications with 92,319 References.
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Authors

 47 Băleanu, Dumitru I. 27 Simos, Theodore E. 27 Srivastava, Hari Mohan 24 Kirane, Mokhtar 24 Kravchenko, Vladislav V. 22 Zajączkowski, Wojciech M. 21 Qian, Tao 21 Tsitouras, Charalampos 20 Dehghan Takht Fooladi, Mehdi 20 Wang, Jinrong 19 Boulaaras, Salah Mahmoud 19 Wendland, Wolfgang L. 18 Nguyen Huy Tuan 18 Stephan, Ernst Peter 18 Wazwaz, Abdul-Majid Abdul-Rahman 17 Qin, Yuming 17 Sommen, Franciscus 16 Morais, João Pedro 16 Samet, Bessem 16 Shah, Kamal 16 Tang, Xianhua 16 Werner, Peter 15 Feireisl, Eduard 15 Guo, Boling 15 Gürlebeck, Klaus 15 Kress, Rainer 15 Mu, Chunlai 15 Natroshvili, David 15 Nicaise, Serge 15 Sprekels, Jürgen 14 Akgül, Ali 14 Banasiak, Jacek 14 Fan, Jishan 14 Leugering, Günter 13 Al-saedi, Ahmed Eid Salem 13 Bory Reyes, Juan 13 O’Regan, Donal 13 Stević, Stevo 13 Straughan, Brian 13 Yin, Jingxue 12 Agarwal, Ravi P. 12 Bruzón, Maria Santos 12 Efendiev, Messoud 12 Gilbert, Robert Pertsch 12 Illner, Reinhard 12 Jleli, Mohamed 12 Kraußhar, Rolf Sören 12 Messaoudi, Salim A. 12 Stratis, Ioannis G. 12 Witsch, Karl Josef 12 Xu, Yongzhi S. 11 Cerejeiras, Paula 11 Cortés López, Juan Carlos 11 Gandarias Núñez, Maria Luz 11 Philippin, Gérard A. 11 Picard, Rainer H. 11 von Wolfersdorf, Lothar 11 Zhou, Yong 10 Cao, Jinde 10 Chattopadhyay, Joydev 10 Constales, Denis 10 Cuevas, Claudio 10 Dassios, George 10 De Schepper, Hennie 10 Freeden, Willi 10 Fuchs, Martin 10 Kang, Jum-Ran 10 Kou, Kit-Ian 10 Kumam, Poom 10 Łada, Andrzej 10 Liu, Wenbin 10 Quintanilla de Latorre, Ramón 10 Razzaghi, Mohsen 10 Reissig, Michael 10 Sooppy Nisar, Kottakkaran 10 Tan, Zhong 10 Torres, Delfim Fernando Marado 10 Weck, Norbert 10 Wu, Xian 9 Abreu-Blaya, Ricardo 9 Ahmad, Bashir 9 Athanasiadis, Christodoulos E. 9 Brackx, Fred F. 9 Constanda, Christian 9 Fabrizio, Mauro 9 Gao, Hongjun 9 Gómez-Aguilar, José Francisco 9 Hayat, Tasawar 9 Hoffmann, Karl-Heinz 9 Kähler, Uwe 9 Kirsch, Andreas 9 Li, Tatsien 9 Li, Yeping 9 Lubuma, Jean Mbaro-Saman 9 Łukaszewicz, Grzegorz 9 Meister, Erhard V. 9 Miranville, Alain M. 9 Payne, Lawrence Edward 9 Shapiro, Michael V. 9 Simsek, Yilmaz ...and 8,811 more Authors
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Fields

 3,891 Partial differential equations (35-XX) 1,176 Ordinary differential equations (34-XX) 1,088 Fluid mechanics (76-XX) 1,064 Numerical analysis (65-XX) 797 Biology and other natural sciences (92-XX) 721 Mechanics of deformable solids (74-XX) 582 Operator theory (47-XX) 362 Integral equations (45-XX) 328 Dynamical systems and ergodic theory (37-XX) 306 Optics, electromagnetic theory (78-XX) 306 Systems theory; control (93-XX) 274 Real functions (26-XX) 259 Calculus of variations and optimal control; optimization (49-XX) 245 Statistical mechanics, structure of matter (82-XX) 226 Functions of a complex variable (30-XX) 208 Probability theory and stochastic processes (60-XX) 180 Harmonic analysis on Euclidean spaces (42-XX) 167 Classical thermodynamics, heat transfer (80-XX) 157 Approximations and expansions (41-XX) 150 Global analysis, analysis on manifolds (58-XX) 148 Functional analysis (46-XX) 145 Difference and functional equations (39-XX) 128 Special functions (33-XX) 119 Potential theory (31-XX) 98 Computer science (68-XX) 96 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 93 Information and communication theory, circuits (94-XX) 91 Integral transforms, operational calculus (44-XX) 91 Operations research, mathematical programming (90-XX) 90 Mechanics of particles and systems (70-XX) 88 Quantum theory (81-XX) 85 Linear and multilinear algebra; matrix theory (15-XX) 70 Differential geometry (53-XX) 56 Statistics (62-XX) 55 Geophysics (86-XX) 47 Astronomy and astrophysics (85-XX) 39 Combinatorics (05-XX) 34 Number theory (11-XX) 28 Relativity and gravitational theory (83-XX) 27 General topology (54-XX) 26 Topological groups, Lie groups (22-XX) 24 Sequences, series, summability (40-XX) 20 General and overarching topics; collections (00-XX) 18 Several complex variables and analytic spaces (32-XX) 16 Nonassociative rings and algebras (17-XX) 16 Measure and integration (28-XX) 15 Abstract harmonic analysis (43-XX) 11 History and biography (01-XX) 10 Geometry (51-XX) 10 Manifolds and cell complexes (57-XX) 9 Algebraic geometry (14-XX) 8 Algebraic topology (55-XX) 7 Mathematical logic and foundations (03-XX) 6 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Convex and discrete geometry (52-XX) 3 Associative rings and algebras (16-XX) 3 Mathematics education (97-XX) 2 Category theory; homological algebra (18-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX)

Citations contained in zbMATH Open

4,460 Publications have been cited 28,824 times in 21,243 Documents Cited by Year
Vector potentials in three-dimensional non-smooth domains. Zbl 0914.35094
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1998
Does a volume-filling effect always prevent chemotactic collapse? Zbl 1182.35220
Winkler, Michael
2010
Existence and uniform decay for a nonlinear viscoelastic equation with strong damping. Zbl 0988.35031
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Ferreira, J.
2001
On the boundary value problem of the biharmonic operator on domains with angular corners. Zbl 0445.35023
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1980
A remark on the regularity of solutions of Maxwell’s equations on Lipschitz domains. Zbl 0699.35028
Costabel, Martin
1990
A local compactness theorem for Maxwell’s equations. Zbl 0432.35032
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1980
On traces for functional spaces related to Maxwell’s equations. I: An integration by parts formula in Lipschitz polyhedra. Zbl 0998.46012
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2001
Global solutions in a fully parabolic chemotaxis system with singular sensitivity. Zbl 1291.92018
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2011
Global existence and uniform stability of solutions for a quasilinear viscoelastic problem. Zbl 1121.35015
Messaoudi, Salim A.; Tatar, Nasser-eddine
2007
Thin elastic and periodic plates. Zbl 0543.73073
Caillerie, D.
1984
Formulation variationnelle espace-temps pour le calcul par potentiel retardé de la diffraction d’une onde acoustique. I. Zbl 0618.35069
Bamberger, A.; Ha Duong, T.
1986
General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping. Zbl 1183.35036
Guesmia, Aissa; Messaoudi, Salim A.
2009
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
Ono, Kosuke
1997
Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109
Apel, Thomas; Sändig, Anna-Margarete; Whiteman, John R.
1996
Properties of positive solutions for nonlocal reaction-diffusion problems. Zbl 0990.35066
Wang, Mingxin; Wang, Yuanming
1996
On the classical solutions of the initial value problem for the unmodified non-linear Vlasov equation. Zbl 0463.35071
Horst, E.
1981
Robust exponential attractors for Cahn-Hilliard type equations with singular potentials. Zbl 1050.35113
Miranville, Alain; Zelik, Sergey
2004
Thermoelasticity with second sound – exponential stability in linear and nonlinear 1D. Zbl 1008.74027
Racke, Reinhard
2002
On the integral equation method for the plane mixed boundary value problem of the Laplacian. Zbl 0461.65082
Wendland, W. L.; Stephan, E.; Hsiao, G. C.
1979
$$(p,q)$$-generalization of Szász-Mirakyan operators. Zbl 1342.41019
Acar, Tuncer
2016
Reduction of quasilinear equations in cylindrical domains with applications. Zbl 0647.35034
Mielke, Alexander
1988
On traces for functional spaces related to Maxwell’s equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Zbl 0976.46023
Buffa, A.; Ciarlet, P. jun.
2001
Guided waves by electromagnetic gratings and non-uniqueness examples for the diffraction problem. Zbl 0817.35109
Bonnet-Bendhia, Anne-Sophie; Starling, Felipe
1994
Weak solutions of the initial value problem for the unmodified non-linear Vlasov equation. Zbl 0556.35022
Horst, E.; Hunze, R.
1984
Existence of global strong solution to the micropolar fluid system in a bounded domain. Zbl 1078.35096
Yamaguchi, Norikazu
2005
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
On the rate of decay of solutions to linear viscoelastic equation. Zbl 0947.35020
Shibata, Yoshihiro
2000
A critical exponent in a degenerate parabolic equation. Zbl 1007.35043
Winkler, Michael
2002
General decay of energy for a viscoelastic equation with nonlinear damping. Zbl 1161.35319
Han, Xiaosen; Wang, Mingxin
2009
On the Vlasov hierarchy. Zbl 0492.35067
Spohn, H.
1981
Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1068.35020
Miranville, A.; Zelik, S.
2005
The rate of convergence of $$q$$-Durrmeyer operators for $$0<q<1$$. Zbl 1154.41008
Gupta, Vijay; Wang, Heping
2008
Finite time blow-up for a nonlinear parabolic equation with a gradient term and applications. Zbl 0858.35067
Souplet, Philippe
1996
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
1991
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 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
Inverse scattering from an open arc. Zbl 0824.35030
Kress, Rainer
1995
Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs. Zbl 1387.65066
Simos, T. E.; Tsitouras, Ch.
2017
The $$8\pi$$-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131
2006
Hermitian Clifford analysis and resolutions. Zbl 1013.30033
2002
Symmetry group classification of ordinary differential equations: Survey of some results. Zbl 1135.34029
Mahomed, F. M.
2007
Semilinear structural damped waves. Zbl 1295.35324
D’Abbicco, M.; Reissig, M.
2014
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
Nonlinear damped Timoshenko systems with second sound - global existence and exponential stability. Zbl 1156.35321
Messaoudi, Salim A.; Pokojovy, Michael; Said-Houari, Belkacem
2009
Pedestrian flows and non-classical shocks. Zbl 1108.90016
Colombo, Rinaldo M.; Rosini, Massimiliano D.
2005
Global properties of a class of HIV infection models with Beddington-DeAngelis functional response. Zbl 1329.34089
Elaiw, A. M.; Azoz, S. A.
2013
On the asymptotic growth of the solutions of the Vlasov–Poisson system. Zbl 0782.35079
Horst, E.
1993
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
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
The blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0735.35014
Fila, Marek; Quittner, Pavol
1991
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
A predator-prey model with disease in the prey species only. Zbl 1115.92049
Greenhalgh, David; Haque, Mainul
2007
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
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
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
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
2015
Spectral parameter power series for Sturm-Liouville problems. Zbl 1202.34060
Kravchenko, Vladislav V.; Porter, R. Michael
2010
Boundary integral equations for mixed Dirichlet, Neumann and transmission problems. Zbl 0694.35048
von Petersdorff, T.
1989
New decay estimates for linear damped wave equations and its application to nonlinear problem. Zbl 1049.35135
Ikehata, Ryo
2004
A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity. Zbl 1333.35100
Lankeit, Johannes
2016
The threshold of effective damping for semilinear wave equations. Zbl 1316.35201
D’Abbicco, Marcello
2015
Global existence for degenerate parabolic equations with a non-local forcing. Zbl 0883.35066
Anderson, Jeffrey R.; Deng, Keng
1997
Functional spaces for Norton-Hoff materials. Zbl 0616.73010
Geymonat, G.; Suquet, P.
1986
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
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
Asymptotic behaviour of solutions to some pseudoparabolic equations. Zbl 0869.35057
Karch, Grzegorz
1997
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096
Costabel, Martin; Dauge, Monique
1999
Delta and singular delta locus for one-dimensional systems of conservation laws. Zbl 1056.35115
Nedeljkov, Marko
2004
On the stabilization of the Timoshenko system by a weak nonlinear dissipation. Zbl 1171.35014
Messaoudi, Salim A.; Mustafa, Muhammad I.
2009
General interface problems. I. Zbl 0824.35014
Nicaise, Serge; Sändig, Anna-Margarete
1994
A new family of 7 stages, eighth-order explicit Numerov-type methods. Zbl 1387.65067
Simos, T. E.; Tsitouras, Ch.
2017
An ecoepidemiological model with disease in predator: the ratio-dependent case. Zbl 1126.92050
Haque, Mainul; Venturino, Ezio
2007
An integral equation method for the electromagnetic scattering from cavities. Zbl 0991.78012
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2000
Existence, uniqueness and mass conservation for the coagulation-fragmentation equation. Zbl 0852.45016
Dubovskiĭ, P. B.; Stewart, P. B.
1996
Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168
Shen, Zifei; Gao, Fashun; Yang, Minbo
2016
The effect of a thin inclusion of high rigidity in an elastic body. Zbl 0446.73014
Caillerie, D.
1980
The one-dimensional chemotaxis model: global existence and asymptotic profile. Zbl 1081.92005
Hillen, Thomas; Potapov, Alex
2004
Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation. Zbl 1110.74054
Bebendorf, M.; Grzhibovskis, R.
2006
Shock formation in a chemotaxis model. Zbl 1147.35057
Wang, Zhian; Hillen, Thomas
2008
Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations. Zbl 1137.76071
Yuan, Jia
2008
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
Stochastic functional differential equations with infinite delay driven by $$G$$-Brownian motion. Zbl 1274.60212
Ren, Yong; Bi, Qiang; Sakthivel, R.
2013
Strong solutions to the incompressible magnetohydrodynamic equations. Zbl 1254.35187
Chen, Qing; Tan, Zhong; Wang, Yanjin
2011
Sur une interpretation mathématique de l’intégrale de Rice en théorie de la rupture fragile. Zbl 0493.73087
Destuynder, P.; Djaoua, M.
1981
A structural observation for linear material laws in classical mathematical physics. Zbl 1200.35050
Picard, Rainer
2009
On the equivalence of the Schrödinger and the quantum Liouville equations. Zbl 0696.47042
Markowich, Peter A.
1989
Modelling of dynamic networks of thin thermoelastic beams. Zbl 0773.73060
Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G.
1993
Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model. Zbl 1310.35005
Jin, Hai-Yang; Wang, Zhi-An
2015
Mono-components for decomposition of signals. Zbl 1104.94005
Qian, Tao
2006
On elastic bodies with thin rigid inclusions and cracks. Zbl 1202.35323
Khludnev, Alexander; Leugering, Günter
2010
Critical extinction and blow-up exponents for fast diffusive $$p$$-Laplacian with sources. Zbl 1151.35310
Yin, Jingxue; Jin, Chunhua
2007
Long-time convergence of solutions to a phase-field system. Zbl 0984.35026
Aizicovici, Sergiu; Feireisl, Eduard; Issard-Roch, Françoise
2001
Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations. Zbl 1222.76027
Xue, Liutang
2011
Global weak solution to the flow of liquid crystals system. Zbl 1185.35167
Jiang, Fei; Tan, Zhong
2009
On a generalized Appell system and monogenic power series. Zbl 1195.30068
Bock, Sebastian; Gürlebeck, Klaus
2010
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 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 a class of coupled critical Hartree system with deepening potential. Zbl 07376562
Zheng, Yu; Gao, Fashun; Shen, Zifei; Yang, Minbo
2021
Well-posedness and Hyers-Ulam results for a class of impulsive fractional evolution equations. Zbl 07376561
Waheed, Hira; Zada, Akbar; Xu, Jiafa
2021
Optimal control problem of the uncertain second-order circuit based on first hitting criteria. Zbl 07376568
Jin, Ting; Xia, Hongxuan; Chen, Hao
2021
Global synchronization of fractional-order and integer-order $$N$$ component reaction diffusion systems: application to biochemical models. Zbl 07376576
Mesdoui, Fatiha; Shawagfeh, Nabil; Ouannas, Adel
2021
Analysis of the L1 scheme for a time fractional parabolic-elliptic problem involving weak singularity. Zbl 07376623
Santra, Sudarshan; Mohapatra, Jugal
2021
Positivity of the fundamental solution for fractional diffusion and wave equations. Zbl 07376686
Kemppainen, Jukka
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
Solutions of system of Volterra integro-differential equations using optimal homotopy asymptotic method. Zbl 07376698
Agarwal, Praveen; Akbar, Muhammad; Nawaz, Rashid; Jleli, Mohamed
2021
On novel nondifferentiable exact solutions to local fractional Gardner’s equation using an effective technique. Zbl 07376945
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
Transmutation operators and a new representation for solutions of perturbed Bessel equations. Zbl 07382888
Kravchenko, Vladislav V.; Torba, Sergii M.
2021
An accelerated hybrid projection method with a self-adaptive step-size sequence for solving split common fixed point problems. Zbl 07382941
Zhou, Zheng; Tan, Bing; Li, Songxiao
2021
Numerical solutions of fuzzy time fractional advection-diffusion equations in double parametric form of fuzzy number. Zbl 07387577
Zureigat, Hamzeh; Ismail, Ahmad Izani; Sathasivam, Saratha
2021
A complex analysis approach to Atangana-Baleanu fractional calculus. Zbl 07387585
Fernandez, Arran
2021
On the characteristic Adomian decomposition method for the Riemann problem. Zbl 07387587
Zeidan, Dia; Chau, Chi Kin; Lu, Tzon-Tzer
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
A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Zbl 1447.35359
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem
2020
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2020
Converses of the Jensen inequality derived from the Green functions with applications in information theory. Zbl 1447.26027
2020
A note on a conjecture for the critical curve of a weakly coupled system of semilinear wave equations with scale-invariant lower order terms. Zbl 1452.35106
Palmieri, Alessandro
2020
Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term. Zbl 1462.35074
Choucha, Abdelbaki; Ouchenane, Djamel; Boulaaras, Salah
2020
On the impulsive implicit $$\Psi$$-Hilfer fractional differential equations with delay. Zbl 1450.34057
Kharade, Jyoti P.; Kucche, Kishor D.
2020
General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping. Zbl 1448.93140
Aounallah, Radhouane; Boulaaras, Salah; Zarai, Abderrahmane; Cherif, Bahri
2020
An analysis for heat equations arises in diffusion process using new Yang-Abdel-Aty-Cattani fractional operator. Zbl 1452.35242
Kumar, Sunil; Ghosh, Surath; Samet, Bessem; Goufo, Emile Franc Doungmo
2020
Further results of existence of positive solutions of elliptic Kirchhoff equation with general nonlinearity of source terms. Zbl 1454.35132
Boulaaras, Salah; Bouizem, Youcef; Guefaifia, Rafik
2020
A segmentation procedure of the pervious area of the aorta artery from CT images without contrast medium. Zbl 1447.92210
Costarelli, Danilo; Seracini, Marco; Vinti, Gianluca
2020
Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems. Zbl 1447.49033
Hung, Nguyen Van; Tam, Vo Minh; Baleanu, Dumitru
2020
Blow-up in a parabolic-elliptic Keller-Segel system with density-dependent sublinear sensitivity and logistic source. Zbl 1452.35049
Tanaka, Yuya; Yokota, Tomomi
2020
Neural network solution of pantograph type differential equations. Zbl 1453.65165
Hou, Chih-Chun; Simos, Theodore E.; Famelis, Ioannis Th.
2020
On the exponential and polynomial stability for a linear Bresse system. Zbl 1447.35046
Afilal, M.; Guesmia, A.; Soufyane, A.; Zahri, M.
2020
Stability of antiperiodic recurrent neural networks with multiproportional delays. Zbl 1456.34071
Huang, Chuangxia; Long, Xin; Cao, Jinde
2020
$$(\omega, c)$$-asymptotically periodic functions, first-order Cauchy problem, and Lasota-Wazewska model with unbounded oscillating production of red cells. Zbl 1451.34047
Alvarez, Edgardo; Castillo, Samuel; Pinto, Manuel
2020
Nonlinear impulsive Langevin equation with mixed derivatives. Zbl 07228616
2020
Spectral analysis of the Sturm-Liouville operator on the star-shaped graph. Zbl 1451.34030
Bondarenko, Natalia P.
2020
The singular solutions to a nonsymmetric system of Keyfitz-Kranzer type with initial data of Riemann type. Zbl 1445.35241
Sun, Meina
2020
Stability of a general adaptive immunity virus dynamics model with multistages of infected cells and two routes of infection. Zbl 1450.34032
Elaiw, Ahmed; AlShamrani, Noura
2020
On the decay of solutions of a damped quasilinear wave equation with variable-exponent nonlinearities. Zbl 1445.35068
Messaoudi, Salim A.
2020
A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods. Zbl 1452.65124
Kumar, Sunil; Kumar, Ranbir; Agarwal, Ravi P.; Samet, Bessem
2020
Certain fractional calculus and integral transform results of incomplete $$\aleph$$-functions with applications. Zbl 1445.26002
Bansal, Manish Kumar; Kumar, Devendra; Nisar, K. S.; Singh, Jagdev
2020
Global existence of strong solutions to compressible Navier-Stokes system with degenerate heat conductivity in unbounded domains. Zbl 1446.35128
Li, Kexin; Shu, Xuanlin; Xu, Xiaojing
2020
Mathematical and numerical analysis of a three-species predator-prey model with herd behavior and time fractional-order derivative. Zbl 1452.92004
2020
Criteria of limit-point case for conformable fractional Sturm-Liouville operators. Zbl 07248032
Zheng, Zhaowen; Liu, Huixin; Cai, Jinming; Zhang, Yanwei
2020
Approximation by gamma type operators. Zbl 1456.41004
Deveci, Serife Nur; Acar, Tuncer; Alagoz, Osman
2020
A fast adaptive spectral graph wavelet method for the viscous Burgers’ equation on a star-shaped connected graph. Zbl 07248232
Shukla, Ankita; Mehra, Mani; Leugering, Günter
2020
Mittag-Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field. Zbl 1455.34010
Pratap, Anbalagan; Raja, Ramachandran; Alzabut, Jehad; Cao, Jinde; Rajchakit, Grienggrai; Huang, Chuangxia
2020
Liouville-type theorem for nonlinear elliptic equations involving $$Pp$$-Laplace-type Grushin operators. Zbl 1445.35161
Wei, Yunfeng; Chen, Caisheng; Chen, Qiang; Yang, Hongwei
2020
Modified auxiliary boundary conditions method for an ill-posed problem for the homogeneous biharmonic equation. Zbl 1445.35153
Benrabah, Abderafik; Boussetila, Nadjib; Rebbani, Faouzia
2020
On the well-posedness of periodic problems for the system of hyperbolic equations with finite time delay. Zbl 1446.35013
Assanova, Anar T.; Iskakova, Narkesh B.; Orumbayeva, Nurgul T.
2020
Bifurcation analysis for a fractional-order chemotherapy model with two different delays. Zbl 1450.34062
Xu, Changjin; Li, Peiluan; Liao, Maoxin; Yuan, Shuai
2020
Variable step-size implementation of sixth-order Numerov-type methods. Zbl 1451.65087
Medvedeva, Marina A.; Simos, Theodore E.; Tsitouras, Charalampos
2020
Two-derivative Runge-Kutta methods with optimal phase properties. Zbl 1452.65123
Kalogiratou, Zacharoula; Monovasilis, Theodore; Simos, Theodore E.
2020
On global classical solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum. Zbl 1446.35104
Lü, Boqiang; Wang, Yixuan; Wu, Yuhang
2020
High-order ADI orthogonal spline collocation method for a new 2D fractional integro-differential problem. Zbl 1446.65131
Qiao, Leijie; Xu, Da; Yan, Yubin
2020
On semiclassical orthogonal polynomials associated with a Freud-type weight. Zbl 1457.33006
Wang, Dan; Zhu, Mengkun; Chen, Yang
2020
Harnack-type inequality for fractional elliptic equations with critical exponent. Zbl 1447.35355
Huang, Shuibo; Tian, Qiaoyu
2020
Trigonometric fitted modification of RADAU5. Zbl 1451.65083
Medvedeva, Marina A.; Simos, Theodore E.; Tsitouras, Charalampos
2020
Remarks on nontrivial pullback attractors of the 2-d Navier-Stokes equations with delays. Zbl 1446.35109
Wang, Yongzhong; Yang, Xin-guang; Lu, Yongjin
2020
Eighth-order, phase-fitted, four-step methods for solving $$y^{\prime \prime} = f(x, y)$$. Zbl 1453.65156
Alolyan, Ibraheem; Simos, Theodore E.; Tsitouras, Charalampos
2020
An efficient analytical approach for fractional Lakshmanan-Porsezian-Daniel model. Zbl 1454.35352
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Compressible multicomponent flow in porous media with Maxwell-Stefan diffusion. Zbl 1454.35296
Ostrowski, Lukas; Rohde, Christian
2020
Spectral cycles and average velocity of clusters in discrete two-contours system with two nodes. Zbl 1452.93010
Yashina, Marina V.; Tatashev, Alexander G.
2020
Optimal control and stability analysis of an online game addiction model with two stages. Zbl 1446.49002
Guo, Youming; Li, Tingting
2020
Local discontinuous Galerkin approximations to fractional Bagley-Torvik equation. Zbl 1451.65100
2020
Hölder regularity for the time fractional Schrödinger equation. Zbl 1446.35254
Su, Xiaoyan; Zheng, Jiqiang
2020
Ninth-order, explicit, two-step methods for second-order inhomogeneous linear IVPs. Zbl 1451.65086
Kovalnogov, Vladislav N.; Simos, Theodore E.; Tsitouras, Charalampos
2020
On the determination of the impulsive Sturm-Liouville operator with the eigenparameter-dependent boundary conditions. Zbl 1452.34030
Khalili, Yasser; Kadkhoda, Nematollah; Baleanu, Dumitru
2020
Exact and approximate solutions of time-fractional models arising from physics via Shehu transform. Zbl 1454.34011
Akinyemi, Lanre; Iyiola, Olaniyi S.
2020
Manufacturer’s optimal pricing and lot-sizing policies under trade-credit financing. Zbl 1448.91115
Chung, Kun-Jen; Liao, Jui-Jung; Lin, Shy-Der; Chuang, Sheng-Tu; Srivastava, Hari M.
2020
Well-posedness and asymptotic stability to a laminated beam in thermoelasticity of type III. Zbl 1446.35023
Liu, Wenjun; Luan, Yue; Liu, Yadong; Li, Gang
2020
The asymptotic limits of Riemann solutions for the isentropic drift-flux model of compressible two-phase flows. Zbl 1452.35102
Shen, Chun
2020
A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler law. Zbl 1452.92039
Khan, Hasib; Gómez-Aguilar, J. F.; Alkhazzan, Abdulwasea; Khan, Aziz
2020
Bifurcations of a Leslie-Gower prey-predator system with ratio-dependent Holling IV functional response and prey harvesting. Zbl 1452.34058
Yao, Yong
2020
Mathematical studies of the solution of Burgers’ equations by Adomian decomposition method. Zbl 1447.35012
Zeidan, Dia; Chau, Chi Kin; Lu, Tzon-tzer; Zheng, Wei-quan
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Some singular third-order boundary value problems. Zbl 1458.34043
Uğurlu, Ekin
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Pattern formation of a diffusive predator-prey model with herd behavior and nonlocal prey competition. Zbl 1452.92033
Djilali, Salih
2020
Sparse multiscale representation of Galerkin method for solving linear-mixed Volterra-Fredholm integral equations. Zbl 1454.65191
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On a class of $$p$$-fractional Laplacian equations with potential depending on parameter. Zbl 1448.35555
Massar, Mohammed; Talbi, Mohamed
2020
Neimark-Sacker bifurcation and hybrid control in a discrete-time Lotka-Volterra model. Zbl 1454.37092
2020
Global analysis of a diffusive viral model with cell-to-cell infection and incubation period. Zbl 1455.92143
Wang, Wei; Wang, Xiunan; Guo, Ke; Ma, Wanbiao
2020
Global existence and decay of solutions of a singular nonlocal viscoelastic system with a nonlinear source term, nonlocal boundary condition, and localized damping term. Zbl 1452.35094
2020
Mathematical analysis of memristor through fractal-fractional differential operators: a numerical study. Zbl 1455.34048
Abro, Kashif Ali; Atangana, Abdon
2020
Global stability of delay-distributed viral infection model with two modes of viral transmission and B-cell impairment. Zbl 1455.34083
Elaiw, A. M.; Alshehaiween, S. F.
2020
Traffic model based on synchronous and asynchronous exclusion processes. Zbl 1454.60116
Yashina, Marina; Tatashev, Alexander
2020
A tool for symmetry breaking and multiplicity in some nonlocal problems. Zbl 1453.35182
Musina, Roberta; Nazarov, Alexander I.
2020
The fractal dimension of pullback attractors for the 2D Navier-Stokes equations with delay. Zbl 1455.35179
Yang, Xin-Guang; Guo, Boling; Guo, Chunxiao; Li, Desheng
2020
$$N$$-lump and interaction solutions of localized waves to the $$(2+1)$$-dimensional asymmetrical Nizhnik-Novikov-Veselov equation arise from a model for an incompressible fluid. Zbl 1462.35133
2020
Oscillatory applications of some fourth-order differential equations. Zbl 1467.34067
Bazighifan, Omar
2020
Some analytical and numerical investigation of a family of fractional-order Helmholtz equations in two space dimensions. Zbl 1445.35132
Srivastava, Hari M.; Shah, Rasool; Khan, Hassan; Arif, Muhammad
2020
An efficient cubic B-spline and bicubic B-spline collocation method for numerical solutions of multidimensional nonlinear stochastic quadratic integral equations. Zbl 1452.65019
Mirzaee, Farshid; Alipour, Sahar
2020
Mathematical analysis of a continuous version of statistical model for criminal behavior. Zbl 1446.35214
Shen, Jieqiong; Li, Bin
2020
Breather wave solutions for the Kadomtsev-Petviashvili equation with variable coefficients in a fluid based on the variable-coefficient three-wave approach. Zbl 1445.35109
Liu, Jian-Guo; Zhu, Wen-Hui; Zhou, Li
2020
Pointwise error estimates of a linearized difference scheme for strongly coupled fractional Ginzburg-Landau equations. Zbl 1444.65049
Pan, Kejia; Jin, Xianlin; He, Dongdong
2020
Nonlocal stochastic differential equations with time-varying delay driven by $$G$$-Brownian motion. Zbl 1448.60132
Yin, Wensheng; Cao, Jinde
2020
Binary Darboux transformation and soliton solutions for the coupled complex modified Korteweg-de Vries equations. Zbl 1446.35167
Zhang, Yi; Ye, Rusuo; Ma, Wenxiu
2020
Analytical approximate solutions for local fractional wave equations. Zbl 1439.35533
Jassim, Hassan Kamil
2020
Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. Zbl 1446.35163
Li, Ruomeng; Geng, Xianguo; Xue, Bo
2020
Jacobi-Picard iteration method for the numerical solution of nonlinear initial value problems. Zbl 1452.65121
2020
The periodic character in a higher order difference equation with delays. Zbl 1445.39010
Gümüş, Mehmet
2020
A sharper decay rate for a viscoelastic wave equation with power nonlinearity. Zbl 1445.35071
Miyasita, Tosiya; Zennir, Khaled
2020
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Cited by 19,512 Authors

 104 Mu, Chunlai 83 Messaoudi, Salim A. 70 Nicaise, Serge 65 Miranville, Alain M. 65 Quintanilla de Latorre, Ramón 59 Stephan, Ernst Peter 58 Winkler, Michael 54 Fan, Jishan 53 Bory Reyes, Juan 52 Zheng, Sining 51 O’Regan, Donal 51 Qian, Tao 47 Wendland, Wolfgang L. 46 Băleanu, Dumitru I. 46 Simos, Theodore E. 46 Sommen, Franciscus 45 Agarwal, Ravi P. 45 Dehghan Takht Fooladi, Mehdi 45 Elaiw, Ahmed M. 44 Nazarov, Sergeĭ Aleksandrovich 43 Abreu-Blaya, Ricardo 43 De Schepper, Hennie 41 Colli, Pierluigi 41 Said-Houari, Belkacem 40 Liu, Wenjun 37 Boulaaras, Salah Mahmoud 37 Brackx, Fred F. 37 Grasselli, Maurizio 37 Muñoz Rivera, Jaime Edilberto 37 Tan, Zhong 37 Tatar, Nasser-eddine 37 Zheng, Pan 36 Feireisl, Eduard 36 Kravchenko, Vladislav V. 36 Lasiecka, Irena 35 Carrillo de la Plata, José Antonio 35 Ciarlet, Patrick jun. 35 Colombo, Fabrizio 35 Leugering, Günter 35 Nečasová, Šárka 35 Nguyen Huy Tuan 35 Roubíček, Tomáš 35 Sabadini, Irene 35 Torres, Delfim Fernando Marado 34 Neff, Patrizio 34 Qin, Yuming 34 Wang, Jinrong 33 Jeribi, Aref 33 Kähler, Uwe 33 Khludnev, Aleksandr Mikhaĭlovich 33 Li, Yeping 33 Tang, Xianhua 33 Zhu, Changjiang 32 Banasiak, Jacek 32 Ciarlet, Philippe Gaston 32 D’Abbicco, Marcello 32 Sprekels, Jürgen 31 Ammari, Habib M. 31 Hiptmair, Ralf 31 Ramm, Alexander G. 30 Ahmad, Bashir 30 Hayat, Tasawar 30 Marchioro, Carlo 30 Mielke, Alexander 30 Pata, Vittorino 30 Srivastava, Hari Mohan 30 Wang, Mingxin 29 Guo, Boling 29 Ikehata, Ryo 29 Kress, Rainer 29 Racke, Reinhard 29 Sayas, Francisco-Javier 29 Yang, Zhijian 29 Zhou, Yong 28 Agrawal, Purshottam Narain 28 Feng, Baowei 28 Mursaleen, Mohammad 28 Straughan, Brian 28 Zhang, Xianwen 27 Amrouche, Chérif 27 Morais, João Pedro 27 Pauly, Dirk 27 Rocca, Elisabetta 27 Wu, Yonghong 26 Brenner, Susanne Cecelia 26 Freeden, Willi 26 Goodrich, Christopher S. 26 Gwiazda, Piotr 26 Zada, Akbar 25 Cao, Jinde 25 Haddar, Houssem 25 Kraußhar, Rolf Sören 25 Laurençot, Philippe 25 Mustafa, Muhammad Islam 25 Samet, Bessem 25 Wang, Liangchen 25 Wang, Zhian 25 Xu, Gen-Qi 25 Yao, Zhengan 25 Zhou, Jun ...and 19,412 more Authors
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Cited in 794 Journals

 1,026 Journal of Mathematical Analysis and Applications 1,009 Mathematical Methods in the Applied Sciences 666 Journal of Differential Equations 577 Applied Mathematics and Computation 502 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 409 Computers & Mathematics with Applications 391 Applicable Analysis 388 Journal of Computational and Applied Mathematics 363 ZAMP. Zeitschrift für angewandte Mathematik und Physik 330 Nonlinear Analysis. Real World Applications 300 Journal of Mathematical Physics 289 Advances in Difference Equations 271 Applied Mathematics Letters 257 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 209 Boundary Value Problems 207 Applied Numerical Mathematics 200 Journal of Computational Physics 180 Archive for Rational Mechanics and Analysis 178 Computer Methods in Applied Mechanics and Engineering 168 Discrete and Continuous Dynamical Systems. Series B 161 SIAM Journal on Mathematical Analysis 155 Discrete and Continuous Dynamical Systems 154 Numerische Mathematik 152 Abstract and Applied Analysis 151 Acta Applicandae Mathematicae 145 Communications on Pure and Applied Analysis 134 Communications in Partial Differential Equations 134 Mathematical Problems in Engineering 133 Nonlinear Dynamics 126 Advances in Applied Clifford Algebras 125 Computational and Applied Mathematics 125 Journal of Function Spaces 123 Mathematics of Computation 116 Communications in Nonlinear Science and Numerical Simulation 106 Chaos, Solitons and Fractals 106 Discrete Dynamics in Nature and Society 106 Discrete and Continuous Dynamical Systems. Series S 105 Communications in Mathematical Physics 105 Journal of Mathematical Sciences (New York) 105 Engineering Analysis with Boundary Elements 103 Journal de Mathématiques Pures et Appliquées. Neuvième Série 103 Mediterranean Journal of Mathematics 101 Journal of Scientific Computing 97 Complex Variables and Elliptic Equations 96 Quarterly of Applied Mathematics 96 Comptes Rendus. Mathématique. Académie des Sciences, Paris 96 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 93 Applied Mathematical Modelling 91 Journal of Mathematical Fluid Mechanics 89 Numerical Functional Analysis and Optimization 88 Inverse Problems 88 Journal of Elasticity 88 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 87 Mathematics and Computers in Simulation 86 Journal of Integral Equations and Applications 86 Nonlinear Analysis. Theory, Methods & Applications 85 Complexity 84 Journal of Mathematical Chemistry 82 Mathematical and Computer Modelling 80 Journal of Functional Analysis 80 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 79 International Journal of Biomathematics 77 Complex Analysis and Operator Theory 76 Transport Theory and Statistical Physics 74 Numerical Methods for Partial Differential Equations 73 Applied Mathematics and Optimization 73 Journal of Evolution Equations 71 Journal of the Franklin Institute 69 International Journal of Applied and Computational Mathematics 68 Numerical Algorithms 68 Calculus of Variations and Partial Differential Equations 68 Journal of Inverse and Ill-Posed Problems 67 Results in Mathematics 67 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 67 Journal of Inequalities and Applications 67 Journal of Applied Analysis and Computation 66 Journal of Statistical Physics 66 SIAM Journal on Applied Mathematics 66 Mathematics and Mechanics of Solids 64 Integral Equations and Operator Theory 64 Physica D 64 Mathematical Biosciences and Engineering 61 Zeitschrift für Analysis und ihre Anwendungen 61 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 60 SIAM Journal on Numerical Analysis 60 Chinese Annals of Mathematics. Series B 59 Annali di Matematica Pura ed Applicata. Serie Quarta 59 Mathematische Nachrichten 59 NoDEA. Nonlinear Differential Equations and Applications 58 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 58 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 58 Journal of Applied Mathematics 57 Differential Equations 55 Fractional Calculus & Applied Analysis 55 Journal of Applied Mathematics and Computing 54 Evolution Equations and Control Theory 52 Nonlinearity 52 Acta Mathematica Sinica. English Series 51 Applications of Mathematics 50 Science China. Mathematics ...and 694 more Journals
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Cited in 63 Fields

 12,221 Partial differential equations (35-XX) 4,020 Numerical analysis (65-XX) 3,562 Fluid mechanics (76-XX) 2,682 Ordinary differential equations (34-XX) 2,533 Mechanics of deformable solids (74-XX) 2,336 Biology and other natural sciences (92-XX) 1,370 Operator theory (47-XX) 1,057 Optics, electromagnetic theory (78-XX) 987 Integral equations (45-XX) 984 Systems theory; control (93-XX) 970 Statistical mechanics, structure of matter (82-XX) 908 Calculus of variations and optimal control; optimization (49-XX) 879 Dynamical systems and ergodic theory (37-XX) 668 Real functions (26-XX) 587 Functions of a complex variable (30-XX) 535 Classical thermodynamics, heat transfer (80-XX) 511 Probability theory and stochastic processes (60-XX) 458 Approximations and expansions (41-XX) 395 Functional analysis (46-XX) 376 Global analysis, analysis on manifolds (58-XX) 374 Harmonic analysis on Euclidean spaces (42-XX) 355 Quantum theory (81-XX) 317 Difference and functional equations (39-XX) 297 Special functions (33-XX) 250 Operations research, mathematical programming (90-XX) 231 Potential theory (31-XX) 208 Information and communication theory, circuits (94-XX) 199 Linear and multilinear algebra; matrix theory (15-XX) 196 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 185 Computer science (68-XX) 184 Integral transforms, operational calculus (44-XX) 175 Mechanics of particles and systems (70-XX) 163 Differential geometry (53-XX) 156 Geophysics (86-XX) 122 Relativity and gravitational theory (83-XX) 116 Statistics (62-XX) 99 Astronomy and astrophysics (85-XX) 90 Combinatorics (05-XX) 73 Number theory (11-XX) 58 Several complex variables and analytic spaces (32-XX) 54 Abstract harmonic analysis (43-XX) 52 Sequences, series, summability (40-XX) 41 General topology (54-XX) 38 Measure and integration (28-XX) 30 Algebraic topology (55-XX) 28 General and overarching topics; collections (00-XX) 25 Topological groups, Lie groups (22-XX) 16 Algebraic geometry (14-XX) 16 Manifolds and cell complexes (57-XX) 14 Geometry (51-XX) 13 History and biography (01-XX) 13 Group theory and generalizations (20-XX) 12 Nonassociative rings and algebras (17-XX) 10 Field theory and polynomials (12-XX) 10 Convex and discrete geometry (52-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Associative rings and algebras (16-XX) 4 Mathematical logic and foundations (03-XX) 4 Mathematics education (97-XX) 3 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX)