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## Nane, Erkan

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 Author ID: nane.erkan Published as: Nane, Erkan External Links: MGP
 Documents Indexed: 52 Publications since 2006
all top 5

#### Co-Authors

 9 single-authored 10 Meerschaert, Mark M. 8 Mijena, Jebessa B. 6 Nguyen Huy Tuan 6 Xiao, Yimin 5 Foondun, Mohammud 5 Vellaisamy, Palaniappan 3 Asogwa, Sunday A. 3 Ni, Yinan 2 Bäumer, Boris 2 D’Ovidio, Mirko 2 Guerngar, Ngartelbaye 2 Zeleke, Aklilu 1 Allouba, Hassan 1 Bañuelos, Rodrigo 1 Çenesiz, Yücel 1 Chen, Zhen-Qing 1 Dang, Duc Trong 1 Kirane, Mokhtar 1 Kumar, Arun M. 1 Kumar, Avinash 1 Kurt, Ali 1 Liu, Wei 1 Meng, Xiangqian 1 Nguyen, Dang Minh 1 Nwaeze, Eze Raymond 1 Omaba, McSylvester Ejighikeme 1 O’Regan, Donal 1 Phuong, Nguyen Duc 1 Tuan, Nguyen Hoang 1 Wu, Dongsheng
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#### Serials

 10 Statistics & Probability Letters 6 Journal of Mathematical Analysis and Applications 5 Stochastic Processes and their Applications 4 Proceedings of the American Mathematical Society 4 Potential Analysis 2 Transactions of the American Mathematical Society 2 Electronic Journal of Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Fractional Calculus & Applied Analysis 2 Stochastics and Dynamics 1 Inverse Problems 1 Chaos, Solitons and Fractals 1 Acta Scientiarum Mathematicarum 1 The Annals of Probability 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Stochastic Analysis and Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 International Journal of Pure and Applied Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Modern Stochastics. Theory and Applications
all top 5

#### Fields

 44 Probability theory and stochastic processes (60-XX) 25 Partial differential equations (35-XX) 8 Real functions (26-XX) 5 Numerical analysis (65-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

45 Publications have been cited 667 times in 418 Documents Cited by Year
Fractional Cauchy problems on bounded domains. Zbl 1247.60078
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2009
The fractional Poisson process and the inverse stable subordinator. Zbl 1245.60084
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2011
Distributed-order fractional diffusions on bounded domains. Zbl 1222.35204
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2011
Brownian subordinators and fractional Cauchy problems. Zbl 1186.60079
Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan
2009
Space-time fractional diffusion on bounded domains. Zbl 1251.35177
Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan
2012
Space-time fractional stochastic partial differential equations. Zbl 1329.60216
Mijena, Jebessa B.; Nane, Erkan
2015
Correlated continuous time random walks. Zbl 1179.60024
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2009
Higher order PDE’s and iterated processes. Zbl 1157.60071
Nane, Erkan
2008
Time-changed Poisson processes. Zbl 1227.60063
Kumar, A.; Nane, Erkan; Vellaisamy, P.
2011
Intermittence and space-time fractional stochastic partial differential equations. Zbl 1341.60063
Mijena, Jebessa B.; Nane, Erkan
2016
Asymptotic properties of some space-time fractional stochastic equations. Zbl 1378.60090
Foondun, Mohammud; Nane, Erkan
2017
Space–time duality for fractional diffusion. Zbl 1196.60087
Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan
2009
Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2008
Fractal dimension results for continuous time random walks. Zbl 1401.60080
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2013
Transient anomalous sub-diffusion on bounded domains. Zbl 1266.60087
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2013
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
2018
Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains. Zbl 1355.60084
Foondun, Mohammud; Mijena, Jebessa B.; Nane, Erkan
2016
Iterated Brownian motion in parabola-shaped domains. Zbl 1090.60071
Nane, Erkan
2006
Stability of the solution of stochastic differential equation driven by time-changed Lévy noise. Zbl 1364.65015
Nane, Erkan; Ni, Yinan
2017
Inverse source problem for time-fractional diffusion with discrete random noise. Zbl 1417.35223
Tuan, Nguyen Huy; Nane, Erkan
2017
Strong analytic solutions of fractional Cauchy problems. Zbl 1284.35457
Mijena, Jebessa B.; Nane, Erkan
2014
Laws of the iterated logarithm for a class of iterated processes. Zbl 1173.60317
Nane, Erkan
2009
Laws of the iterated logarithm for $$\alpha$$-time Brownian motion. Zbl 1121.60085
Nane, Erkan
2006
Iterated Brownian motion in bounded domains in $$\mathbb {R}^n$$. Zbl 1106.60309
Nane, Erkan
2006
Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. Zbl 1384.35146
Nane, Erkan; Tuan, Nguyen Huy
2018
Stochastic solutions of conformable fractional Cauchy problems. Zbl 1417.35218
Çenesiz, Yücel; Kurt, Ali; Nane, Erkan
2017
Stochastic solutions of a class of higher order Cauchy problems in $$\mathbb R^{d}$$. Zbl 1205.60129
Nane, Erkan
2010
Lifetime asymptotics of iterated Brownian motion in $$\mathbb R^n$$. Zbl 1181.60127
Nane, Erkan
2007
Some non-existence results for a class of stochastic partial differential equations. Zbl 1420.35480
Foondun, Mohammud; Liu, Wei; Nane, Erkan
2019
Stochastic solution of fractional Fokker-Planck equations with space-time-dependent coefficients. Zbl 1342.60106
Nane, Erkan; Ni, Yinan
2016
Two-term trace estimates for relativistic stable processes. Zbl 1307.60060
Bañuelos, Rodrigo; Mijena, Jebessa B.; Nane, Erkan
2014
Interacting time-fractional and $$\Delta^{\nu}$$ PDEs systems via Brownian-time and inverse-stable-Lévy-time Brownian sheets. Zbl 1286.60070
Allouba, Hassan; Nane, Erkan
2013
Time dependent random fields on spherical non-homogeneous surfaces. Zbl 1310.60060
D’Ovidio, Mirko; Nane, Erkan
2014
A strong law of large numbers with applications to self-similar stable processes. Zbl 1274.60098
Nane, Erkan; Xiao, Yimin; Zeleke, Aklilu
2010
Isoperimetric-type inequalities for iterated Brownian motion in $$\mathbb R^n$$. Zbl 1134.60051
Nane, Erkan
2008
On a backward problem for multidimensional Ginzburg-Landau equation with random data. Zbl 06850149
Kirane, Mokhtar; Nane, Erkan; Tuan, Nguyen Huy
2018
Intermittency fronts for space-time fractional stochastic partial differential equations in $$(d + 1)$$ dimensions. Zbl 1375.60105
Asogwa, Sunday A.; Nane, Erkan
2017
Path stability of stochastic differential equations driven by time-changed Lévy noises. Zbl 06866535
Nane, Erkan; Ni, Yinan
2018
Some properties of non-linear fractional stochastic heat equations on bounded domains. Zbl 1374.60116
Foondun, Mohammud; Guerngar, Ngartelbaye; Nane, Erkan
2017
Fractional Cauchy problems on compact manifolds. Zbl 1341.60068
D’Ovidio, Mirko; Nane, Erkan
2016
$$\alpha$$-time fractional Brownian motion: PDE connections and local times. Zbl 1278.60074
Nane, Erkan; Wu, Dongsheng; Xiao, Yimin
2012
Critical parameters for reaction-diffusion equations involving space-time fractional derivatives. Zbl 1442.35207
Asogwa, Sunday A.; Foondun, Mohammud; Mijena, Jebessa B.; Nane, Erkan
2020
On the infinite divisibility of distributions of some inverse subordinators. Zbl 1426.60018
Kumar, Arun; Nane, Erkan
2018
A random regularized approximate solution of the inverse problem for Burgers’ equation. Zbl 1380.35167
Nane, Erkan; Tuan, Nguyen Hoang; Tuan, Nguyen Huy
2018
Correlation structure of time-changed Pearson diffusions. Zbl 1296.60216
Mijena, Jebessa B.; Nane, Erkan
2014
Critical parameters for reaction-diffusion equations involving space-time fractional derivatives. Zbl 1442.35207
Asogwa, Sunday A.; Foondun, Mohammud; Mijena, Jebessa B.; Nane, Erkan
2020
Some non-existence results for a class of stochastic partial differential equations. Zbl 1420.35480
Foondun, Mohammud; Liu, Wei; Nane, Erkan
2019
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
2018
Approximate solutions of inverse problems for nonlinear space fractional diffusion equations with randomly perturbed data. Zbl 1384.35146
Nane, Erkan; Tuan, Nguyen Huy
2018
On a backward problem for multidimensional Ginzburg-Landau equation with random data. Zbl 06850149
Kirane, Mokhtar; Nane, Erkan; Tuan, Nguyen Huy
2018
Path stability of stochastic differential equations driven by time-changed Lévy noises. Zbl 06866535
Nane, Erkan; Ni, Yinan
2018
On the infinite divisibility of distributions of some inverse subordinators. Zbl 1426.60018
Kumar, Arun; Nane, Erkan
2018
A random regularized approximate solution of the inverse problem for Burgers’ equation. Zbl 1380.35167
Nane, Erkan; Tuan, Nguyen Hoang; Tuan, Nguyen Huy
2018
Asymptotic properties of some space-time fractional stochastic equations. Zbl 1378.60090
Foondun, Mohammud; Nane, Erkan
2017
Stability of the solution of stochastic differential equation driven by time-changed Lévy noise. Zbl 1364.65015
Nane, Erkan; Ni, Yinan
2017
Inverse source problem for time-fractional diffusion with discrete random noise. Zbl 1417.35223
Tuan, Nguyen Huy; Nane, Erkan
2017
Stochastic solutions of conformable fractional Cauchy problems. Zbl 1417.35218
Çenesiz, Yücel; Kurt, Ali; Nane, Erkan
2017
Intermittency fronts for space-time fractional stochastic partial differential equations in $$(d + 1)$$ dimensions. Zbl 1375.60105
Asogwa, Sunday A.; Nane, Erkan
2017
Some properties of non-linear fractional stochastic heat equations on bounded domains. Zbl 1374.60116
Foondun, Mohammud; Guerngar, Ngartelbaye; Nane, Erkan
2017
Intermittence and space-time fractional stochastic partial differential equations. Zbl 1341.60063
Mijena, Jebessa B.; Nane, Erkan
2016
Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains. Zbl 1355.60084
Foondun, Mohammud; Mijena, Jebessa B.; Nane, Erkan
2016
Stochastic solution of fractional Fokker-Planck equations with space-time-dependent coefficients. Zbl 1342.60106
Nane, Erkan; Ni, Yinan
2016
Fractional Cauchy problems on compact manifolds. Zbl 1341.60068
D’Ovidio, Mirko; Nane, Erkan
2016
Space-time fractional stochastic partial differential equations. Zbl 1329.60216
Mijena, Jebessa B.; Nane, Erkan
2015
Strong analytic solutions of fractional Cauchy problems. Zbl 1284.35457
Mijena, Jebessa B.; Nane, Erkan
2014
Two-term trace estimates for relativistic stable processes. Zbl 1307.60060
Bañuelos, Rodrigo; Mijena, Jebessa B.; Nane, Erkan
2014
Time dependent random fields on spherical non-homogeneous surfaces. Zbl 1310.60060
D’Ovidio, Mirko; Nane, Erkan
2014
Correlation structure of time-changed Pearson diffusions. Zbl 1296.60216
Mijena, Jebessa B.; Nane, Erkan
2014
Fractal dimension results for continuous time random walks. Zbl 1401.60080
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2013
Transient anomalous sub-diffusion on bounded domains. Zbl 1266.60087
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2013
Interacting time-fractional and $$\Delta^{\nu}$$ PDEs systems via Brownian-time and inverse-stable-Lévy-time Brownian sheets. Zbl 1286.60070
Allouba, Hassan; Nane, Erkan
2013
Space-time fractional diffusion on bounded domains. Zbl 1251.35177
Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan
2012
$$\alpha$$-time fractional Brownian motion: PDE connections and local times. Zbl 1278.60074
Nane, Erkan; Wu, Dongsheng; Xiao, Yimin
2012
The fractional Poisson process and the inverse stable subordinator. Zbl 1245.60084
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2011
Distributed-order fractional diffusions on bounded domains. Zbl 1222.35204
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2011
Time-changed Poisson processes. Zbl 1227.60063
Kumar, A.; Nane, Erkan; Vellaisamy, P.
2011
Stochastic solutions of a class of higher order Cauchy problems in $$\mathbb R^{d}$$. Zbl 1205.60129
Nane, Erkan
2010
A strong law of large numbers with applications to self-similar stable processes. Zbl 1274.60098
Nane, Erkan; Xiao, Yimin; Zeleke, Aklilu
2010
Fractional Cauchy problems on bounded domains. Zbl 1247.60078
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P.
2009
Brownian subordinators and fractional Cauchy problems. Zbl 1186.60079
Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan
2009
Correlated continuous time random walks. Zbl 1179.60024
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2009
Space–time duality for fractional diffusion. Zbl 1196.60087
Baeumer, Boris; Meerschaert, Mark M.; Nane, Erkan
2009
Laws of the iterated logarithm for a class of iterated processes. Zbl 1173.60317
Nane, Erkan
2009
Higher order PDE’s and iterated processes. Zbl 1157.60071
Nane, Erkan
2008
Large deviations for local time fractional Brownian motion and applications. Zbl 1147.60025
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin
2008
Isoperimetric-type inequalities for iterated Brownian motion in $$\mathbb R^n$$. Zbl 1134.60051
Nane, Erkan
2008
Lifetime asymptotics of iterated Brownian motion in $$\mathbb R^n$$. Zbl 1181.60127
Nane, Erkan
2007
Iterated Brownian motion in parabola-shaped domains. Zbl 1090.60071
Nane, Erkan
2006
Laws of the iterated logarithm for $$\alpha$$-time Brownian motion. Zbl 1121.60085
Nane, Erkan
2006
Iterated Brownian motion in bounded domains in $$\mathbb {R}^n$$. Zbl 1106.60309
Nane, Erkan
2006
all top 5

#### Cited by 540 Authors

 43 Nane, Erkan 25 Nguyen Huy Tuan 21 Leonenko, Nikolai N. 19 Meerschaert, Mark M. 18 Beghin, Luisa 18 Orsingher, Enzo 15 Vellaisamy, Palaniappan 14 D’Ovidio, Mirko 11 Polito, Federico 9 Magdziarz, Marcin 9 Sikorskii, Alla 8 Liu, Fawang 8 O’Regan, Donal 8 Toaldo, Bruno 7 Anh, Vo V. 7 Garra, Roberto 7 Mijena, Jebessa B. 7 Peng, Jigen 7 Turner, Ian William 6 Allouba, Hassan 6 Kobayashi, Kei 6 Lizama, Carlos 6 Lopushans’ka, Galyna Petrovna 6 Macci, Claudio 6 Zhou, Yong 5 Foondun, Mohammud 5 Maheshwari, Aditya 5 Ricciuti, Costantino 5 Xiao, Yimin 4 Ascione, Giacomo 4 Au, Vo Van 4 Bäumer, Boris 4 Chen, Zhen-Qing 4 Gao, Jinghuai 4 Jia, Junxiong 4 Kataria, Kuldeep Kumar 4 Kolokoltsov, Vassili N. 4 Lopushans’kyi, Andriy Olegovich 4 Papić, I. 4 Pirozzi, Enrica 4 Scalas, Enrico 4 Schilling, René Leander 4 Šuvak, Nenad 4 Yuan, Chenggui 4 Zaky, Mahmoud A. 4 Zou, Guang’an 3 Asogwa, Sunday A. 3 Băleanu, Dumitru I. 3 Can, Nguyen Huu 3 Chen, Wen 3 Gajda, Janusz 3 Gao, Guanghua 3 Gorenflo, Rudolf 3 Gunzburger, Max D. 3 Kim, Panki 3 Kirane, Mokhtar 3 Kumar, Avinash 3 Li, Kexue 3 Li, Miao 3 Li, Yaning 3 Liang, Yingjie 3 Lv, Guangying 3 Ngoc, Tran Bao 3 Ni, Yinan 3 Phuong, Nguyen Duc 3 Razzaghi, Mohsen 3 Ruiz-Medina, María Dolores 3 Sakhno, Lyudmyla Mykhaĭlivna 3 Straka, Peter 3 Sun, Zhizhong 3 Tatar, Salih 3 Thach, Tran Ngoc 3 Toniazzi, Lorenzo 3 Umarov, Sabir R. 3 Vu Trong Luong 3 Zacher, Rico 3 Zhang, Quanguo 2 Al-Jamal, Mohammad F. 2 Alikhanov, Anatoly A. 2 Bazhlekova, Emilia G. 2 Bogdan, Krzysztof 2 Bretó, Carles 2 Bu, Weiping 2 Burrage, Kevin 2 Kinderknecht, Yana A. 2 Capitanelli, Raffaela 2 Çenesiz, Yücel 2 Chechkin, Aleksei V. 2 Chen, Chuang 2 Chen, Le 2 Chen, Zhenlong 2 De Gregorio, Alessandro 2 Deng, Changsong 2 Di Crescenzo, Antonio 2 Do, Khac Duc 2 Duan, Jinqiao 2 Fahrenwaldt, Matthias Albrecht 2 Feng, Libo 2 Földes, Antónia 2 Frolov, Andrei N. ...and 440 more Authors
all top 5

#### Cited in 121 Serials

 36 Statistics & Probability Letters 30 Fractional Calculus & Applied Analysis 22 Journal of Mathematical Analysis and Applications 21 Computers & Mathematics with Applications 19 Stochastic Processes and their Applications 11 Stochastic Analysis and Applications 10 Journal of Computational and Applied Mathematics 9 Chaos, Solitons and Fractals 9 Applied Mathematics and Computation 9 Proceedings of the American Mathematical Society 8 Journal of Applied Probability 8 Potential Analysis 7 Journal of Statistical Physics 7 Journal of Differential Equations 7 Applied Numerical Mathematics 7 Journal of Theoretical Probability 7 Applied Mathematics Letters 7 Numerical Algorithms 7 Journal of Evolution Equations 6 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Functional Analysis 5 Applied Mathematical Modelling 4 Applicable Analysis 4 Journal of Computational Physics 4 The Annals of Probability 4 Transactions of the American Mathematical Society 4 Theory of Probability and Mathematical Statistics 4 Computational and Applied Mathematics 4 Methodology and Computing in Applied Probability 4 Advances in Mathematical Physics 4 Modern Stochastics. Theory and Applications 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Scientific Computing 3 NoDEA. Nonlinear Differential Equations and Applications 3 Nonlinear Dynamics 3 Stochastics and Dynamics 3 Advances in Difference Equations 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Advances in Applied Probability 2 Ukrainian Mathematical Journal 2 Theory of Probability and its Applications 2 Integral Equations and Operator Theory 2 Probability and Mathematical Statistics 2 SIAM Journal on Mathematical Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Abstract and Applied Analysis 2 Chaos 2 Communications on Pure and Applied Analysis 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Fixed Point Theory and Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Fractional Differential Calculus 2 Carpathian Mathematical Publications 2 Mathematics 2 Open Mathematics 1 International Journal of Control 1 Inverse Problems 1 Journal of the Franklin Institute 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Automatica 1 BIT 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Ricerche di Matematica 1 Semigroup Forum 1 Optimal Control Applications & Methods 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Forum Mathematicum 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Statistics. Theory and Methods 1 Computational Statistics and Data Analysis 1 Indagationes Mathematicae. New Series 1 Vestnik St. Petersburg University. Mathematics 1 Integral Transforms and Special Functions 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Electronic Communications in Probability 1 Bernoulli 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Extremes 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Stochastic Models ...and 21 more Serials
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#### Cited in 33 Fields

 244 Probability theory and stochastic processes (60-XX) 209 Partial differential equations (35-XX) 83 Numerical analysis (65-XX) 76 Real functions (26-XX) 40 Ordinary differential equations (34-XX) 38 Operator theory (47-XX) 29 Special functions (33-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Integral equations (45-XX) 14 Statistics (62-XX) 9 Systems theory; control (93-XX) 7 Integral transforms, operational calculus (44-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Relativity and gravitational theory (83-XX)