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Author ID: luchko.yurii-f Recent zbMATH articles by "Luchko, Yurii F."
Published as: Luchko, Yu. F.; Luchko, Yury; Luchko, Yu.; Luchko, Yurii F.; Luchko, Yury F.; Luchko, Y. F.; Luchko, Yurii
Documents Indexed: 55 Publications since 1991, including 2 Books
Co-Authors: 35 Co-Authors with 42 Joint Publications
2,398 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 2,187 times in 1,626 Documents Cited by Year
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
249
2005
An operational method for solving fractional differential equations with the Caputo derivatives. Zbl 0931.44003
Luchko, Yurii; Gorenflo, Rudolf
224
1999
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation. Zbl 1202.35339
Luchko, Yury
195
2011
Maximum principle for the generalized time-fractional diffusion equation. Zbl 1172.35341
Luchko, Yury
189
2009
Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives. Zbl 1182.26011
Hilfer, Rudolf; Luchko, Yury; Tomovski, Živorad
174
2009
Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation. Zbl 1189.35360
Luchko, Yury
157
2010
Boundary value problems for the generalized time-fractional diffusion equation of distributed order. Zbl 1198.26012
Luchko, Yury
134
2009
The hypergeometric approach to integral transforms and convolutions. Zbl 0803.44001
Yakubovich, Semen B.; Luchko, Yurii F.
109
1994
Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials. Zbl 1228.65132
Esmaeili, Shahrokh; Shamsi, M.; Luchko, Yury
96
2011
The exact solution of certain differential equations of fractional order by using operational calculus. Zbl 0824.44011
Luchko, Yu. F.; Srivastava, H. M.
77
1995
Caputo-type modification of the Erdélyi-Kober fractional derivatives. Zbl 1152.26304
Luchko, Yury; Trujillo, Juan J.
65
2007
Scale-invariant solutions of a partial differential equation of fractional order. Zbl 0940.45001
Luchko, Yu.; Gorenflo, R.
61
1998
Maximum principle and its application for the time-fractional diffusion equations. Zbl 1273.35297
Luchko, Yury
56
2011
An operational method for solving fractional differential equations of an arbitrary real order. Zbl 0848.44003
Hadid, S. B.; Luchko, Yu. F.
43
1996
Fractional models, non-locality, and complex systems. Zbl 1189.37095
Luchko, Yury F.; Rivero, Margarita; Trujillo, Juan J.; Velasco, M. Pilar
35
2010
Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations. Zbl 1301.34104
Luchko, Yury; Punzi, Alessandro
33
2011
Fractional Fourier transform and some of its applications. Zbl 1175.26016
Luchko, Yury F.; Matrínez, Héctor; Trujillo, Juan J.
31
2008
On generalized fractional calculus and its application to the solution of integro-differential equations. Zbl 0840.44002
Al-Bassam, M. A.; Luchko, Yu. F.
26
1995
Algorithms for evaluation of the Wright function for the real argument’s values. Zbl 1145.33005
Luchko, Yury
24
2008
On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order. Zbl 1033.35160
Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R.
20
2000
An operational method for solving some classes of integro-differential equations. Zbl 0827.44004
Luchko, Yu. F.; Yakubovich, S. B.
19
1994
Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010
Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J.
19
2010
A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. Zbl 1393.35280
Luchko, Yu.
17
2016
Pattern formation in fractional reaction-diffusion systems with multiple homogeneous states. Zbl 1258.35029
Datsko, Bohdan; Luchko, Yury; Gafiychuk, Vasyl
13
2012
On solvability of linear fractional differential equations in Banach spaces. Zbl 1041.34045
Gorenflo, R.; Luchko, Yu. F.; Zabrejko, P. P.
12
1999
Operational rules for a mixed operator of the Erdélyi-Kober type. Zbl 1128.26004
Luchko, Yury
12
2004
Spectral method for solution of the fractional transport equation. Zbl 1237.82041
Kadem, Abdelouahab; Luchko, Yury; Baleanu, Dumitru
12
2010
Integral transforms of the Mellin convolution type and their generating operators. Zbl 1168.44001
Luchko, Yury
12
2008
The multi-index Mittag-Leffler functions and their applications for solving fractional order problems in applied analysis. Zbl 1237.33012
Kiryakova, V. S.; Luchko, Yu. F.
11
2010
Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. Zbl 1461.35007
Luchko, Yu.
10
2019
Anomalous diffusion: models, their analysis, and interpretation. Zbl 1279.60105
Luchko, Yury
9
2012
Asymptotics of zeros of the Wright function. Zbl 0969.33010
Luchko, Yu.
8
2000
Operational method for solving integral equations with Gauss’ hypergeometric function as a kernel. Zbl 0889.45005
Gorenflo, R.; Luchko, Yu. F.; Srivastava, H. M.
7
1997
The convolution method for the development of new Leibniz rules involving fractional derivatives and of their integral analogues. Zbl 0822.33006
Srivastava, H. M.; Yakubovich, S. B.; Luchko, Yu. F.
7
1993
Operational calculus for the Caputo-type fractional Erdélyi-Kober derivative and its applications. Zbl 1288.26004
Hanna, L. A-M.; Luchko, Yu. F.
6
2014
Professor Rudolf Gorenflo and his contribution to fractional calculus. Zbl 1273.01048
Luchko, Yury; Mainardi, Francesco; Rogosin, Sergei
6
2011
Operational properties of convolution for the Kontorovich-Lebedev transform. Zbl 0819.44006
Yakubovich, S. B.; Luchko, Yu. F.
5
1994
On some boundary value problems for pseudo-differential equations with boundary operators of fractional order. Zbl 1033.35162
Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R.
5
2000
Operational calculus for the generalized fractional differential operator and applications. Zbl 0830.44004
Luchko, Yu. F.; Yakubovich, S. B.
4
1993
The Wright function and its numerical evaluation. Zbl 1225.33027
Luchko, Y. F.; Trujillo, J. J.; Velasco, M. P.
4
2010
New families of Leibniz type rules for fractional calculus and their integral analogues. Zbl 0786.26007
Srivastava, H. M.; Yakubovich, S. B.; Luchko, Yu. F.
3
1993
Generalized Hankel transform for hyper-Bessel differential operators. Zbl 0964.44003
Luchko, Yu.; Kirykova, V.
3
2000
The Wright function: its properties, applications, and numerical evaluation. Zbl 1237.33013
Lipnevich, V.; Luchko, Yu.
3
2010
Generating operators and convolutions for some integral transforms. Zbl 0736.44003
Luchko, Yu. F.; Yakubovich, S. B.
2
1991
A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals. Zbl 1408.26005
Al-Kandari, M.; Hanna, L. A.-M.; Luchko, Yu. F.
2
2019
The evaluation of integrals and series with respect to indices (parameters) of hypergeometric functions. Zbl 0919.65009
Yakubovich, S. B.; Luchko, Yu. F.
1
1991
Hankel type integral transforms connected with the hyper-Bessel differential operators. Zbl 0963.44004
Luchko, Yurii F.; Kiryakova, Virginia S.
1
2000
Convolutions of the generalized fractional integration operators. Zbl 0793.44004
Luchko, Yu. F.; Yakubovich, S. B.
1
1993
Fractional calculus models for the anomalous diffusion processes and their analysis. Zbl 1231.35291
Luchko, Yu.
1
2010
Eigenfunctions of the time-fractional diffusion-wave operator. Zbl 1470.35393
Ferreira, Milton; Luchko, Yury; Rodrigues, M. Manuela; Vieira, Nelson
1
2021
Eigenfunctions of the time-fractional diffusion-wave operator. Zbl 1470.35393
Ferreira, Milton; Luchko, Yury; Rodrigues, M. Manuela; Vieira, Nelson
1
2021
Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. Zbl 1461.35007
Luchko, Yu.
10
2019
A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals. Zbl 1408.26005
Al-Kandari, M.; Hanna, L. A.-M.; Luchko, Yu. F.
2
2019
A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. Zbl 1393.35280
Luchko, Yu.
17
2016
Operational calculus for the Caputo-type fractional Erdélyi-Kober derivative and its applications. Zbl 1288.26004
Hanna, L. A-M.; Luchko, Yu. F.
6
2014
Pattern formation in fractional reaction-diffusion systems with multiple homogeneous states. Zbl 1258.35029
Datsko, Bohdan; Luchko, Yury; Gafiychuk, Vasyl
13
2012
Anomalous diffusion: models, their analysis, and interpretation. Zbl 1279.60105
Luchko, Yury
9
2012
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation. Zbl 1202.35339
Luchko, Yury
195
2011
Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials. Zbl 1228.65132
Esmaeili, Shahrokh; Shamsi, M.; Luchko, Yury
96
2011
Maximum principle and its application for the time-fractional diffusion equations. Zbl 1273.35297
Luchko, Yury
56
2011
Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations. Zbl 1301.34104
Luchko, Yury; Punzi, Alessandro
33
2011
Professor Rudolf Gorenflo and his contribution to fractional calculus. Zbl 1273.01048
Luchko, Yury; Mainardi, Francesco; Rogosin, Sergei
6
2011
Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation. Zbl 1189.35360
Luchko, Yury
157
2010
Fractional models, non-locality, and complex systems. Zbl 1189.37095
Luchko, Yury F.; Rivero, Margarita; Trujillo, Juan J.; Velasco, M. Pilar
35
2010
Fractional Fourier transform in the framework of fractional calculus operators. Zbl 1205.42010
Kilbas, A. A.; Luchko, Yu. F.; Martínez, H.; Trujillo, J. J.
19
2010
Spectral method for solution of the fractional transport equation. Zbl 1237.82041
Kadem, Abdelouahab; Luchko, Yury; Baleanu, Dumitru
12
2010
The multi-index Mittag-Leffler functions and their applications for solving fractional order problems in applied analysis. Zbl 1237.33012
Kiryakova, V. S.; Luchko, Yu. F.
11
2010
The Wright function and its numerical evaluation. Zbl 1225.33027
Luchko, Y. F.; Trujillo, J. J.; Velasco, M. P.
4
2010
The Wright function: its properties, applications, and numerical evaluation. Zbl 1237.33013
Lipnevich, V.; Luchko, Yu.
3
2010
Fractional calculus models for the anomalous diffusion processes and their analysis. Zbl 1231.35291
Luchko, Yu.
1
2010
Maximum principle for the generalized time-fractional diffusion equation. Zbl 1172.35341
Luchko, Yury
189
2009
Operational method for the solution of fractional differential equations with generalized Riemann-Liouville fractional derivatives. Zbl 1182.26011
Hilfer, Rudolf; Luchko, Yury; Tomovski, Živorad
174
2009
Boundary value problems for the generalized time-fractional diffusion equation of distributed order. Zbl 1198.26012
Luchko, Yury
134
2009
Fractional Fourier transform and some of its applications. Zbl 1175.26016
Luchko, Yury F.; Matrínez, Héctor; Trujillo, Juan J.
31
2008
Algorithms for evaluation of the Wright function for the real argument’s values. Zbl 1145.33005
Luchko, Yury
24
2008
Integral transforms of the Mellin convolution type and their generating operators. Zbl 1168.44001
Luchko, Yury
12
2008
Caputo-type modification of the Erdélyi-Kober fractional derivatives. Zbl 1152.26304
Luchko, Yury; Trujillo, Juan J.
65
2007
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
249
2005
Operational rules for a mixed operator of the Erdélyi-Kober type. Zbl 1128.26004
Luchko, Yury
12
2004
On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order. Zbl 1033.35160
Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R.
20
2000
Asymptotics of zeros of the Wright function. Zbl 0969.33010
Luchko, Yu.
8
2000
On some boundary value problems for pseudo-differential equations with boundary operators of fractional order. Zbl 1033.35162
Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R.
5
2000
Generalized Hankel transform for hyper-Bessel differential operators. Zbl 0964.44003
Luchko, Yu.; Kirykova, V.
3
2000
Hankel type integral transforms connected with the hyper-Bessel differential operators. Zbl 0963.44004
Luchko, Yurii F.; Kiryakova, Virginia S.
1
2000
An operational method for solving fractional differential equations with the Caputo derivatives. Zbl 0931.44003
Luchko, Yurii; Gorenflo, Rudolf
224
1999
On solvability of linear fractional differential equations in Banach spaces. Zbl 1041.34045
Gorenflo, R.; Luchko, Yu. F.; Zabrejko, P. P.
12
1999
Scale-invariant solutions of a partial differential equation of fractional order. Zbl 0940.45001
Luchko, Yu.; Gorenflo, R.
61
1998
Operational method for solving integral equations with Gauss’ hypergeometric function as a kernel. Zbl 0889.45005
Gorenflo, R.; Luchko, Yu. F.; Srivastava, H. M.
7
1997
An operational method for solving fractional differential equations of an arbitrary real order. Zbl 0848.44003
Hadid, S. B.; Luchko, Yu. F.
43
1996
The exact solution of certain differential equations of fractional order by using operational calculus. Zbl 0824.44011
Luchko, Yu. F.; Srivastava, H. M.
77
1995
On generalized fractional calculus and its application to the solution of integro-differential equations. Zbl 0840.44002
Al-Bassam, M. A.; Luchko, Yu. F.
26
1995
The hypergeometric approach to integral transforms and convolutions. Zbl 0803.44001
Yakubovich, Semen B.; Luchko, Yurii F.
109
1994
An operational method for solving some classes of integro-differential equations. Zbl 0827.44004
Luchko, Yu. F.; Yakubovich, S. B.
19
1994
Operational properties of convolution for the Kontorovich-Lebedev transform. Zbl 0819.44006
Yakubovich, S. B.; Luchko, Yu. F.
5
1994
The convolution method for the development of new Leibniz rules involving fractional derivatives and of their integral analogues. Zbl 0822.33006
Srivastava, H. M.; Yakubovich, S. B.; Luchko, Yu. F.
7
1993
Operational calculus for the generalized fractional differential operator and applications. Zbl 0830.44004
Luchko, Yu. F.; Yakubovich, S. B.
4
1993
New families of Leibniz type rules for fractional calculus and their integral analogues. Zbl 0786.26007
Srivastava, H. M.; Yakubovich, S. B.; Luchko, Yu. F.
3
1993
Convolutions of the generalized fractional integration operators. Zbl 0793.44004
Luchko, Yu. F.; Yakubovich, S. B.
1
1993
Generating operators and convolutions for some integral transforms. Zbl 0736.44003
Luchko, Yu. F.; Yakubovich, S. B.
2
1991
The evaluation of integrals and series with respect to indices (parameters) of hypergeometric functions. Zbl 0919.65009
Yakubovich, S. B.; Luchko, Yu. F.
1
1991
all top 5

Cited by 2,049 Authors

42 Yakubovich, Semyon B.
33 Liu, Fawang
31 Luchko, Yuri
28 Băleanu, Dumitru I.
26 Yamamoto, Masahiro
24 Wei, Ting
22 Ntouyas, Sotiris K.
19 Turner, Ian William
18 Luchko, Yurii F.
17 Anh, Vo V.
17 Fernandez, Arran
16 Daftardar-Gejji, Varsha
15 Mainardi, Francesco
14 Ahmad, Bashir
14 Al-Refai, Mohammed
14 Tomovski, Živorad
13 Li, Zhiyuan
12 Ansari, Alireza
12 Garrappa, Roberto
12 Li, Changpin
12 Machado, José António Tenreiro
12 Momani, Shaher M.
12 Tariboon, Jessada
12 Trujillo, Juan J.
12 Zaky, Mahmoud A.
11 Bhalekar, Sachin
11 Gou, Haide
11 Jafari, Hossein
11 Kirane, Mokhtar
11 Kiryakova, Virginia S.
11 Prasad, Akhilesh
10 Dehghan Takht Fooladi, Mehdi
10 Gómez-Aguilar, José Francisco
10 Liu, Yikan
10 Nieto Roig, Juan Jose
10 Srivastava, Hari Mohan
10 Sun, Zhizhong
9 Abdeljawad, Thabet
9 Karimov, Erkinjon Tulkinovich
9 Mandal, Upain Kumar
9 Ordokhani, Yadollah
9 Restrepo, Joel Esteban
9 Ruzhansky, Michael V.
9 Sandev, Trifce
9 Suragan, Durvudkhan
8 Al-saedi, Ahmed Eid Salem
8 Ford, Neville J.
8 Lopushans’ka, Galyna Petrovna
8 Malik, Salman A.
8 Odibat, Zaid M.
8 Sun, Liangliang
8 Yang, Xuehua
8 Zeng, Fanhai
8 Zhang, Zhidong
8 Zhou, Yong
7 Agarwal, Praveen
7 Alikhanov, Anatoliĭ Alievich
7 Burrage, Kevin
7 Gao, Guanghua
7 Garra, Roberto
7 Gorenflo, Rudolf
7 Mahmudov, Nazim Idrisoglu
7 Rahimkhani, Parisa
7 Razzaghi, Mohsen
7 Rogosin, Sergei V.
7 Torebek, Berikbol Tillabayuly
7 Umarov, Sabir R.
7 Vieira, Nelson
7 Vivek, Devaraj
7 Wang, Hong
6 Abbaszadeh, Mostafa
6 Akinyemi, Lanre
6 Balachandran, Krishnan
6 Bazhlekova, Emilia G.
6 Esmaeili, Shahrokh
6 Feng, Libo
6 Ferreira, Milton
6 Hendy, Ahmed S.
6 Heydari, Mohammad Hossein
6 Kanagarajan, Kuppusamy
6 Li, Chengkuan
6 Li, Gongsheng
6 Li, Xiaoxiao
6 Meerschaert, Mark Marvin
6 Mehrez, Khaled
6 Owolabi, Kolade Matthew
6 Povstenko, Yuriy Z.
6 Roscani, Sabrina D.
6 Rundell, William
6 Saadatmandi, Abbas
6 Saxena, Ram Kishore
6 Sin, Chung-Sik
6 Sooppy Nisar, Kottakkaran
6 Stynes, Martin Joseph
6 Tarasov, Vasily E.
6 Turmetov, Batirkhan Khudaybergenovich
6 Yang, Fan
6 Yang, Xiao-Jun
6 Yüzbaşı, Şuayip
6 Zhang, Haixiang
...and 1,949 more Authors
all top 5

Cited in 314 Serials

141 Fractional Calculus & Applied Analysis
69 Applied Mathematics and Computation
61 Computers & Mathematics with Applications
54 Journal of Computational and Applied Mathematics
54 Communications in Nonlinear Science and Numerical Simulation
48 Integral Transforms and Special Functions
45 Advances in Difference Equations
38 Computational and Applied Mathematics
34 Chaos, Solitons and Fractals
33 Journal of Mathematical Analysis and Applications
30 Applied Numerical Mathematics
28 Mathematical Methods in the Applied Sciences
23 Journal of Computational Physics
22 Numerical Algorithms
21 Applied Mathematical Modelling
20 International Journal of Computer Mathematics
18 Mathematics and Computers in Simulation
18 Nonlinear Dynamics
17 International Journal of Applied and Computational Mathematics
16 Journal of Scientific Computing
16 Advances in Mathematical Physics
15 Journal of Mathematical Physics
15 Applied Mathematics Letters
14 Numerical Methods for Partial Differential Equations
13 Physica A
13 AIMS Mathematics
12 Inverse Problems
12 Abstract and Applied Analysis
11 Mediterranean Journal of Mathematics
11 Boundary Value Problems
11 Fractional Differential Calculus
9 Applicable Analysis
9 Engineering Analysis with Boundary Elements
9 Computational Methods in Applied Mathematics
9 International Journal of Differential Equations
9 Journal of Function Spaces
8 Journal of Mathematical Sciences (New York)
8 International Journal of Nonlinear Sciences and Numerical Simulation
8 Inverse Problems in Science and Engineering
8 Discrete and Continuous Dynamical Systems. Series S
8 Mathematical Sciences
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Fractals
7 Mathematical Problems in Engineering
7 Journal of Applied Mathematics
7 Journal of Applied Mathematics and Computing
7 Computational Methods for Differential Equations
6 Journal of Integral Equations and Applications
6 Turkish Journal of Mathematics
6 Journal of Inverse and Ill-Posed Problems
6 Advances in Computational Mathematics
6 Chaos
6 Lobachevskii Journal of Mathematics
6 Tbilisi Mathematical Journal
6 S\(\vec{\text{e}}\)MA Journal
6 Journal of Mathematics
6 Mathematics
5 Computer Methods in Applied Mechanics and Engineering
5 Zeitschrift für Analysis und ihre Anwendungen
5 Acta Applicandae Mathematicae
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Cybernetics and Systems Analysis
5 Filomat
5 Journal of Inequalities and Applications
5 Mathematical Modelling and Analysis
5 Inverse Problems and Imaging
5 Journal of Nonlinear Science and Applications
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 East Asian Journal on Applied Mathematics
5 Open Mathematics
4 Ukrainian Mathematical Journal
4 Journal of Differential Equations
4 Signal Processing
4 Acta Mathematica Universitatis Comenianae. New Series
4 Computational Mathematics and Mathematical Physics
4 The Journal of Analysis
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Journal of Vibration and Control
4 Qualitative Theory of Dynamical Systems
4 Applied Mathematics E-Notes
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
4 Complex Analysis and Operator Theory
4 Chinese Journal of Physics (Taipei)
4 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
3 Mathematical Notes
3 Reports on Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 BIT
3 Journal of Optimization Theory and Applications
3 Siberian Mathematical Journal
3 Russian Mathematics
3 SIAM Journal on Scientific Computing
3 Georgian Mathematical Journal
3 NoDEA. Nonlinear Differential Equations and Applications
3 Soft Computing
3 Discrete Dynamics in Nature and Society
3 Journal of Interdisciplinary Mathematics
3 Analysis (München)
3 Differential Equations
3 Discrete and Continuous Dynamical Systems. Series B
...and 214 more Serials
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Cited in 49 Fields

802 Partial differential equations (35-XX)
567 Numerical analysis (65-XX)
544 Real functions (26-XX)
481 Ordinary differential equations (34-XX)
238 Special functions (33-XX)
180 Integral equations (45-XX)
152 Integral transforms, operational calculus (44-XX)
143 Operator theory (47-XX)
70 Harmonic analysis on Euclidean spaces (42-XX)
63 Probability theory and stochastic processes (60-XX)
52 Fluid mechanics (76-XX)
39 Systems theory; control (93-XX)
38 Biology and other natural sciences (92-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
35 Functional analysis (46-XX)
34 Approximations and expansions (41-XX)
34 Mechanics of deformable solids (74-XX)
28 Statistical mechanics, structure of matter (82-XX)
27 Functions of a complex variable (30-XX)
24 Dynamical systems and ergodic theory (37-XX)
22 Classical thermodynamics, heat transfer (80-XX)
17 Information and communication theory, circuits (94-XX)
14 Difference and functional equations (39-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Mechanics of particles and systems (70-XX)
10 Optics, electromagnetic theory (78-XX)
10 Geophysics (86-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Quantum theory (81-XX)
9 Operations research, mathematical programming (90-XX)
6 Number theory (11-XX)
5 Measure and integration (28-XX)
5 Potential theory (31-XX)
5 Sequences, series, summability (40-XX)
5 Computer science (68-XX)
4 History and biography (01-XX)
4 Abstract harmonic analysis (43-XX)
4 General topology (54-XX)
4 Statistics (62-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year