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Author ID: garra.roberto Recent zbMATH articles by "Garra, Roberto"
Published as: Garra, Roberto; Garra, R.
Homepage: http://www.dmmm.uniroma1.it/~roberto.garra/
External Links: ResearchGate · dblp
Documents Indexed: 69 Publications since 2011, including 12 Additional arXiv Preprints
Reviewing Activity: 4 Reviews
Co-Authors: 46 Co-Authors with 64 Joint Publications
999 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 709 times in 534 Documents Cited by Year
Hilfer-Prabhakar derivatives and some applications. Zbl 1334.26008
Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad
127
2014
The Prabhakar or three parameter Mittag-Leffler function: theory and application. Zbl 1524.33083
Garra, Roberto; Garrappa, Roberto
79
2018
A practical guide to Prabhakar fractional calculus. Zbl 1437.33019
Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco
57
2020
On some operators involving Hadamard derivatives. Zbl 1282.33032
Garra, Roberto; Polito, Federico
38
2013
Fractional relaxation with time-varying coefficient. Zbl 1305.26018
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni
34
2014
Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method. Zbl 1305.35151
Harris, Pietro Artale; Garra, Roberto
27
2013
A note on Hadamard fractional differential equations with varying coefficients and their applications in probability. Zbl 1499.34048
Garra, Roberto; Orsingher, Enzo; Polito, Federico
26
2018
Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives. Zbl 1337.26015
Saxena, Ram K.; Garra, Roberto; Orsingher, Enzo
22
2016
State-dependent fractional point processes. Zbl 1315.60056
Garra, R.; Orsingher, E.; Polito, F.
22
2015
Nonlinear heat conduction equations with memory: physical meaning and analytical results. Zbl 1371.80012
Artale Harris, Pietro; Garra, Roberto
19
2017
Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039
Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M.
19
2017
The fractional Dodson diffusion equation: a new approach. Zbl 1403.35314
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
17
2018
Modeling biological systems with an improved fractional Gompertz law. Zbl 1464.92009
Frunzo, Luigi; Garra, Roberto; Giusti, Andrea; Luongo, Vincenzo
16
2019
Random flights governed by Klein-Gordon-type partial differential equations. Zbl 1350.60045
Garra, Roberto; Orsingher, Enzo
15
2014
Fractional diffusions with time-varying coefficients. Zbl 1337.60064
Garra, Roberto; Orsingher, Enzo; Polito, Federico
15
2015
Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. Zbl 1245.35139
Garra, Roberto
14
2012
Random flights related to the Euler-Poisson-Darboux equation. Zbl 1344.60051
Garra, R.; Orsingher, E.
14
2016
Fractional Klein-Gordon equations and related stochastic processes. Zbl 1301.35131
Garra, Roberto; Orsingher, Enzo; Polito, Federico
13
2014
Analytic solutions of fractional differential equations by operational methods. Zbl 1248.35222
Garra, Roberto; Polito, Federico
11
2012
Some probabilistic properties of fractional point processes. Zbl 1372.60070
Garra, Roberto; Orsingher, Enzo; Scavino, Marco
11
2017
Nonlinear time-fractional dispersive equations. Zbl 1329.35331
Artale Harris, Piero; Garra, Roberto
11
2014
Multidimensional fractional advection-dispersion equations and related stochastic processes. Zbl 1339.60086
D’Ovidio, Mirko; Garra, Roberto
10
2014
Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011
Concezzi, Moreno; Garra, Roberto; Spigler, Renato
10
2015
Localization and stability of active scalar flows. Zbl 1294.76077
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
10
2013
Scott-Blair models with time-varying viscosity. Zbl 1407.76007
Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
9
2018
Exact results on some nonlinear Laguerre-type diffusion equations. Zbl 1485.35098
Garra, Roberto; Tomovski, Zivorad
9
2021
Application of the nonlocal Darcy law to the propagation of nonlinear thermoelastic waves in fluid saturated porous media. Zbl 1355.76066
Garra, R.; Salusti, E.
7
2013
Cyclic random motions with orthogonal directions. Zbl 1457.60022
Orsingher, E.; Garra, R.; Zeifman, A. I.
7
2020
Correlated fractional counting processes on a finite-time interval. Zbl 1337.60061
Beghin, Luisa; Garra, Roberto; Macci, Claudio
4
2015
Random motions with space-varying velocities. Zbl 1382.60075
Garra, Roberto; Orsingher, Enzo
4
2017
Probability distributions for the run-and-tumble models with variable speed and tumbling rate. Zbl 1426.60116
Angelani, Luca; Garra, Roberto
4
2018
Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients. Zbl 1314.45009
Tomovski, Živorad; Garra, Roberto
4
2014
Coupled systems of fractional equations related to sound propagation: Analysis and discussion. Zbl 1276.76075
Garra, Roberto; Polito, Federico
3
2012
Confinement of a hot temperature patch in the modified SQG model. Zbl 1418.35344
Garra, Roberto
3
2019
Long time localization of modified surface quasi-geostrophic equations. Zbl 1466.76015
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
3
2021
Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity. Zbl 1417.76011
Garra, Roberto; Polito, Federico
2
2012
Planar piecewise linear random motions with jumps. Zbl 1380.60071
Garra, Roberto; Orsingher, Enzo; Ratanov, Nikita
2
2017
On fractional Cattaneo equation with partially reflecting boundaries. Zbl 1514.35453
Angelani, L.; Garra, R.
2
2020
A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling. Zbl 1511.86003
Cristofaro, Lorenzo; Garra, Roberto; Scalas, Enrico; Spassiani, Ilaria
2
2023
Isochronous fractionals PDEs. Zbl 1524.35687
Droghei, Riccardo; Garra, Roberto
2
2020
A note on generalized fractional diffusion equations on Poincaré half plane. Zbl 1499.35641
Garra, Roberto; Maltese, F.; Orsingher, Enzo
1
2021
Solutions to non-linear Euler-Poisson-Darboux equations by means of generalized separation of variables. Zbl 1421.35228
Garra, R.; Orsingher, E.; Shishkina, E. L.
1
2019
Propagation of nonlinear thermoelastic waves in porous media within the theory of heat conduction with memory: physical derivation and exact solutions. Zbl 1360.76325
Garra, Roberto
1
2017
Euler-Poisson-Darboux equations and iterated fractional Brownian motions. Zbl 1530.35172
Garra, Roberto; Orsingher, Enzo
1
2023
Some applications of Wright functions in fractional differential equations. Zbl 1527.34016
Garra, R.; Mainardi, F.
1
2021
A fractional approach to study the pure-temporal Epidemic Type Aftershock Sequence (ETAS) process for earthquakes modeling. Zbl 1511.86003
Cristofaro, Lorenzo; Garra, Roberto; Scalas, Enrico; Spassiani, Ilaria
2
2023
Euler-Poisson-Darboux equations and iterated fractional Brownian motions. Zbl 1530.35172
Garra, Roberto; Orsingher, Enzo
1
2023
Exact results on some nonlinear Laguerre-type diffusion equations. Zbl 1485.35098
Garra, Roberto; Tomovski, Zivorad
9
2021
Long time localization of modified surface quasi-geostrophic equations. Zbl 1466.76015
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
3
2021
A note on generalized fractional diffusion equations on Poincaré half plane. Zbl 1499.35641
Garra, Roberto; Maltese, F.; Orsingher, Enzo
1
2021
Some applications of Wright functions in fractional differential equations. Zbl 1527.34016
Garra, R.; Mainardi, F.
1
2021
A practical guide to Prabhakar fractional calculus. Zbl 1437.33019
Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco
57
2020
Cyclic random motions with orthogonal directions. Zbl 1457.60022
Orsingher, E.; Garra, R.; Zeifman, A. I.
7
2020
On fractional Cattaneo equation with partially reflecting boundaries. Zbl 1514.35453
Angelani, L.; Garra, R.
2
2020
Isochronous fractionals PDEs. Zbl 1524.35687
Droghei, Riccardo; Garra, Roberto
2
2020
Modeling biological systems with an improved fractional Gompertz law. Zbl 1464.92009
Frunzo, Luigi; Garra, Roberto; Giusti, Andrea; Luongo, Vincenzo
16
2019
Confinement of a hot temperature patch in the modified SQG model. Zbl 1418.35344
Garra, Roberto
3
2019
Solutions to non-linear Euler-Poisson-Darboux equations by means of generalized separation of variables. Zbl 1421.35228
Garra, R.; Orsingher, E.; Shishkina, E. L.
1
2019
The Prabhakar or three parameter Mittag-Leffler function: theory and application. Zbl 1524.33083
Garra, Roberto; Garrappa, Roberto
79
2018
A note on Hadamard fractional differential equations with varying coefficients and their applications in probability. Zbl 1499.34048
Garra, Roberto; Orsingher, Enzo; Polito, Federico
26
2018
The fractional Dodson diffusion equation: a new approach. Zbl 1403.35314
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
17
2018
Scott-Blair models with time-varying viscosity. Zbl 1407.76007
Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
9
2018
Probability distributions for the run-and-tumble models with variable speed and tumbling rate. Zbl 1426.60116
Angelani, Luca; Garra, Roberto
4
2018
Nonlinear heat conduction equations with memory: physical meaning and analytical results. Zbl 1371.80012
Artale Harris, Pietro; Garra, Roberto
19
2017
Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039
Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M.
19
2017
Some probabilistic properties of fractional point processes. Zbl 1372.60070
Garra, Roberto; Orsingher, Enzo; Scavino, Marco
11
2017
Random motions with space-varying velocities. Zbl 1382.60075
Garra, Roberto; Orsingher, Enzo
4
2017
Planar piecewise linear random motions with jumps. Zbl 1380.60071
Garra, Roberto; Orsingher, Enzo; Ratanov, Nikita
2
2017
Propagation of nonlinear thermoelastic waves in porous media within the theory of heat conduction with memory: physical derivation and exact solutions. Zbl 1360.76325
Garra, Roberto
1
2017
Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives. Zbl 1337.26015
Saxena, Ram K.; Garra, Roberto; Orsingher, Enzo
22
2016
Random flights related to the Euler-Poisson-Darboux equation. Zbl 1344.60051
Garra, R.; Orsingher, E.
14
2016
State-dependent fractional point processes. Zbl 1315.60056
Garra, R.; Orsingher, E.; Polito, F.
22
2015
Fractional diffusions with time-varying coefficients. Zbl 1337.60064
Garra, Roberto; Orsingher, Enzo; Polito, Federico
15
2015
Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011
Concezzi, Moreno; Garra, Roberto; Spigler, Renato
10
2015
Correlated fractional counting processes on a finite-time interval. Zbl 1337.60061
Beghin, Luisa; Garra, Roberto; Macci, Claudio
4
2015
Hilfer-Prabhakar derivatives and some applications. Zbl 1334.26008
Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad
127
2014
Fractional relaxation with time-varying coefficient. Zbl 1305.26018
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni
34
2014
Random flights governed by Klein-Gordon-type partial differential equations. Zbl 1350.60045
Garra, Roberto; Orsingher, Enzo
15
2014
Fractional Klein-Gordon equations and related stochastic processes. Zbl 1301.35131
Garra, Roberto; Orsingher, Enzo; Polito, Federico
13
2014
Nonlinear time-fractional dispersive equations. Zbl 1329.35331
Artale Harris, Piero; Garra, Roberto
11
2014
Multidimensional fractional advection-dispersion equations and related stochastic processes. Zbl 1339.60086
D’Ovidio, Mirko; Garra, Roberto
10
2014
Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients. Zbl 1314.45009
Tomovski, Živorad; Garra, Roberto
4
2014
On some operators involving Hadamard derivatives. Zbl 1282.33032
Garra, Roberto; Polito, Federico
38
2013
Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method. Zbl 1305.35151
Harris, Pietro Artale; Garra, Roberto
27
2013
Localization and stability of active scalar flows. Zbl 1294.76077
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
10
2013
Application of the nonlocal Darcy law to the propagation of nonlinear thermoelastic waves in fluid saturated porous media. Zbl 1355.76066
Garra, R.; Salusti, E.
7
2013
Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. Zbl 1245.35139
Garra, Roberto
14
2012
Analytic solutions of fractional differential equations by operational methods. Zbl 1248.35222
Garra, Roberto; Polito, Federico
11
2012
Coupled systems of fractional equations related to sound propagation: Analysis and discussion. Zbl 1276.76075
Garra, Roberto; Polito, Federico
3
2012
Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity. Zbl 1417.76011
Garra, Roberto; Polito, Federico
2
2012
all top 5

Cited by 718 Authors

30 Garra, Roberto
20 Băleanu, Dumitru I.
18 Fernandez, Arran
16 Garrappa, Roberto
15 Polito, Federico
14 Tomovski, Živorad
13 Giusti, Andrea
13 Orsingher, Enzo
12 Mainardi, Francesco
12 Sandev, Trifce
10 Górska, Katarzyna
9 Ansari, Alireza
9 Kataria, Kuldeep Kumar
8 De Gregorio, Alessandro
8 de Oliveira, Edmundo Capelas
8 Di Crescenzo, Antonio
8 Eshaghi, Shiva
8 Horzela, Andrzej
8 Nieto Roig, Juan Jose
7 Ahmad, Bashir
7 Beghin, Luisa
7 Machado, José António Tenreiro
7 Ricciuti, Costantino
7 Rui, Weiguo
6 Al-saedi, Ahmed Eid Salem
6 Aminataei, Azim
6 Macci, Claudio
6 Ozarslan, Mehmet Ali
6 Sahadevan, Ramajayam
6 Tarasov, Vasily E.
5 Abdeljawad, Thabet
5 Angelani, Luca
5 Cinque, Fabrizio
5 Colombaro, Ivano
5 Martinucci, Barbara
5 Metzler, Ralf
5 Pogány, Tibor K.
5 Priyendhu, K. S.
5 Sakhno, Lyudmyla Mykhaĭlivna
5 Sun, Hongguang
5 Toaldo, Bruno
5 Vellaisamy, Palaniappan
5 Wu, Guocheng
5 Zhang, Yi
4 Aziz, Sara
4 Chen, Yangquan
4 Dattoli, Giuseppe
4 Derakhshan, Mohammadhossein
4 Ding, Xiaoli
4 Fu, Hui
4 Iuliano, Antonella
4 Khandakar, Mostafizar
4 Kumar, Sunil
4 Malik, Salman A.
4 Michelitsch, Thomas M.
4 Ntouyas, Sotiris K.
4 Restrepo, Joel Esteban
4 Riascos, Alejandro P.
4 Rogosin, Sergei V.
4 Samet, Bessem
4 Shishkina, Elina Leonidovna
4 Suragan, Durvudkhan
4 ur Rehman, Mujeeb
4 Wang, Guotao
4 Yuldashev, Tursun Kamaldinovich
4 Zhou, Hongwei
3 Ahmadian, Ali
3 Atanackovic, Teodor M.
3 Awad, Emad S.
3 Bakkyaraj, Thangarasu
3 Buchak, Khrystyna
3 Chechkin, Aleksei V.
3 Derakhshan, Mohammad Hossein
3 dos Santos, Maike A. F.
3 Gajda, Janusz
3 Geldhauser, Carina
3 Ghaziani, Reza Khoshsiar
3 Gómez-Aguilar, José Francisco
3 Kadirkulov, Bakhtiyor J.
3 Kolokoltsov, Vassili N.
3 Kürt, Cemaliye
3 Lakshmanan, Muthusamy
3 Meoli, Alessandra
3 Pei, Ke
3 Penson, Karol A.
3 Petrovskii, Sergei V.
3 Pilipović, Stevan
3 Popolizio, Marina
3 Rani, Noosheza
3 Rodríguez-Dagnino, Ramón Martín
3 Romito, Marco
3 Ruggieri, Marianna
3 Salahshour, Soheil
3 Shah, Kamal
3 Sooppy Nisar, Kottakkaran
3 Speciale, Maria Paola
3 Tian, Xue
3 Vanterler da Costa Sousa, José
3 Zhang, Kangqun
2 Abbas, Said
...and 618 more Authors
all top 5

Cited in 161 Serials

53 Fractional Calculus & Applied Analysis
38 Communications in Nonlinear Science and Numerical Simulation
35 Mathematical Methods in the Applied Sciences
24 Computational and Applied Mathematics
16 Chaos, Solitons and Fractals
12 Applied Mathematics and Computation
12 Advances in Difference Equations
11 Nonlinear Dynamics
10 Journal of Mathematical Physics
10 Journal of Statistical Physics
10 Journal of Physics A: Mathematical and Theoretical
9 Journal of Computational and Applied Mathematics
9 Modern Stochastics. Theory and Applications
8 Statistics & Probability Letters
7 Integral Transforms and Special Functions
7 Fractional Differential Calculus
7 Mathematics
6 Physica A
6 Reports on Mathematical Physics
5 Acta Mechanica
5 Mathematics and Computers in Simulation
5 Stochastic Analysis and Applications
5 Stochastic Processes and their Applications
5 Qualitative Theory of Dynamical Systems
4 Computers & Mathematics with Applications
4 Journal of Computational Physics
4 Abstract and Applied Analysis
4 Lobachevskii Journal of Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 Journal of Function Spaces
4 International Journal of Applied and Computational Mathematics
3 Mathematical Notes
3 Journal of Applied Probability
3 Applied Numerical Mathematics
3 Journal of Theoretical Probability
3 Applied Mathematics Letters
3 International Journal of Computer Mathematics
3 Theory of Probability and Mathematical Statistics
3 Journal of Mathematical Sciences (New York)
3 Chaos
3 Methodology and Computing in Applied Probability
3 Nonlinear Analysis. Modelling and Control
3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
3 Journal of Statistical Mechanics: Theory and Experiment
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of the Franklin Institute
2 Journal of Differential Equations
2 Meccanica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Ricerche di Matematica
2 Physica D
2 Cybernetics and Systems Analysis
2 Potential Analysis
2 Turkish Journal of Mathematics
2 Filomat
2 Engineering Analysis with Boundary Elements
2 Discrete and Continuous Dynamical Systems
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Mathematical Modelling and Analysis
2 Cubo
2 Chinese Journal of Physics (Taipei)
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Differential Equations
2 Analysis and Mathematical Physics
2 Axioms
2 Mathematical Sciences
2 Computational Methods for Differential Equations
2 AIMS Mathematics
2 Electronic Research Archive
1 Advances in Applied Probability
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Nonlinearity
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Theory of Probability and its Applications
1 Calcolo
1 Information Sciences
1 Journal of Functional Analysis
1 Journal of the Indian Institute of Science
1 Mathematische Nachrichten
1 Numerische Mathematik
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Siberian Mathematical Journal
1 Studies in Applied Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Journal of Scientific Computing
1 Journal of Integral Equations and Applications
1 The Annals of Applied Probability
1 Acta Mathematica Universitatis Comenianae. New Series
1 Numerical Algorithms
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Applied Mathematical Modelling
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Nonlinear Science
...and 61 more Serials
all top 5

Cited in 43 Fields

193 Partial differential equations (35-XX)
189 Real functions (26-XX)
166 Ordinary differential equations (34-XX)
107 Special functions (33-XX)
107 Probability theory and stochastic processes (60-XX)
73 Numerical analysis (65-XX)
38 Integral equations (45-XX)
37 Integral transforms, operational calculus (44-XX)
35 Operator theory (47-XX)
28 Fluid mechanics (76-XX)
18 Statistical mechanics, structure of matter (82-XX)
18 Biology and other natural sciences (92-XX)
17 Mechanics of particles and systems (70-XX)
17 Systems theory; control (93-XX)
16 Mechanics of deformable solids (74-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
12 Functions of a complex variable (30-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Dynamical systems and ergodic theory (37-XX)
7 Approximations and expansions (41-XX)
6 Difference and functional equations (39-XX)
6 Geophysics (86-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Optics, electromagnetic theory (78-XX)
4 Functional analysis (46-XX)
3 Combinatorics (05-XX)
3 Sequences, series, summability (40-XX)
3 Statistics (62-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Quantum theory (81-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)

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