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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: 67 Publications since 2011, including 14 Additional arXiv Preprints
Reviewing Activity: 3 Reviews
Co-Authors: 43 Co-Authors with 60 Joint Publications
960 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 573 times in 443 Documents Cited by Year
Hilfer-Prabhakar derivatives and some applications. Zbl 1334.26008
Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad
105
2014
The Prabhakar or three parameter Mittag-Leffler function: theory and application. Zbl 1524.33083
Garra, Roberto; Garrappa, Roberto
46
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
46
2020
On some operators involving Hadamard derivatives. Zbl 1282.33032
Garra, Roberto; Polito, Federico
32
2013
Fractional relaxation with time-varying coefficient. Zbl 1305.26018
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni
29
2014
Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method. Zbl 1305.35151
Harris, Pietro Artale; Garra, Roberto
22
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
22
2018
State-dependent fractional point processes. Zbl 1315.60056
Garra, R.; Orsingher, E.; Polito, F.
21
2015
Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives. Zbl 1337.26015
Saxena, Ram K.; Garra, Roberto; Orsingher, Enzo
20
2016
Random flights governed by Klein-Gordon-type partial differential equations. Zbl 1350.60045
Garra, Roberto; Orsingher, Enzo
15
2014
Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039
Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M.
15
2017
Nonlinear heat conduction equations with memory: physical meaning and analytical results. Zbl 1371.80012
Artale Harris, Pietro; Garra, Roberto
15
2017
The fractional Dodson diffusion equation: a new approach. Zbl 1403.35314
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
15
2018
Fractional Klein-Gordon equations and related stochastic processes. Zbl 1301.35131
Garra, Roberto; Orsingher, Enzo; Polito, Federico
13
2014
Fractional diffusions with time-varying coefficients. Zbl 1337.60064
Garra, Roberto; Orsingher, Enzo; Polito, Federico
13
2015
Random flights related to the Euler-Poisson-Darboux equation. Zbl 1344.60051
Garra, R.; Orsingher, E.
13
2016
Modeling biological systems with an improved fractional Gompertz law. Zbl 1464.92009
Frunzo, Luigi; Garra, Roberto; Giusti, Andrea; Luongo, Vincenzo
12
2019
Nonlinear time-fractional dispersive equations. Zbl 1329.35331
Artale Harris, Piero; Garra, Roberto
11
2014
Analytic solutions of fractional differential equations by operational methods. Zbl 1248.35222
Garra, Roberto; Polito, Federico
10
2012
Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. Zbl 1245.35139
Garra, Roberto
10
2012
Some probabilistic properties of fractional point processes. Zbl 1372.60070
Garra, Roberto; Orsingher, Enzo; Scavino, Marco
10
2017
Localization and stability of active scalar flows. Zbl 1294.76077
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
9
2013
Multidimensional fractional advection-dispersion equations and related stochastic processes. Zbl 1339.60086
D’Ovidio, Mirko; Garra, Roberto
8
2014
Scott-Blair models with time-varying viscosity. Zbl 1407.76007
Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
8
2018
Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011
Concezzi, Moreno; Garra, Roberto; Spigler, Renato
6
2015
Cyclic random motions with orthogonal directions. Zbl 1457.60022
Orsingher, E.; Garra, R.; Zeifman, A. I.
6
2020
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.
6
2013
Exact results on some nonlinear Laguerre-type diffusion equations. Zbl 1485.35098
Garra, Roberto; Tomovski, Zivorad
5
2021
Random motions with space-varying velocities. Zbl 1382.60075
Garra, Roberto; Orsingher, Enzo
4
2017
Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients. Zbl 1314.45009
Tomovski, Živorad; Garra, Roberto
4
2014
Probability distributions for the run-and-tumble models with variable speed and tumbling rate. Zbl 1426.60116
Angelani, Luca; Garra, Roberto
4
2018
Correlated fractional counting processes on a finite-time interval. Zbl 1337.60061
Beghin, Luisa; Garra, Roberto; Macci, Claudio
3
2015
Confinement of a hot temperature patch in the modified SQG model. Zbl 1418.35344
Garra, Roberto
3
2019
Coupled systems of fractional equations related to sound propagation: Analysis and discussion. Zbl 1276.76075
Garra, Roberto; Polito, Federico
2
2012
Long time localization of modified surface quasi-geostrophic equations. Zbl 1466.76015
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
2
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
1
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
A note on generalized fractional diffusion equations on Poincaré half plane. Zbl 1499.35641
Garra, Roberto; Maltese, F.; Orsingher, Enzo
1
2021
On fractional Cattaneo equation with partially reflecting boundaries. Zbl 1514.35453
Angelani, L.; Garra, R.
1
2020
Isochronous fractionals PDEs. Zbl 1524.35687
Droghei, Riccardo; Garra, Roberto
1
2020
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
Exact results on some nonlinear Laguerre-type diffusion equations. Zbl 1485.35098
Garra, Roberto; Tomovski, Zivorad
5
2021
Long time localization of modified surface quasi-geostrophic equations. Zbl 1466.76015
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
2
2021
A note on generalized fractional diffusion equations on Poincaré half plane. Zbl 1499.35641
Garra, Roberto; Maltese, F.; Orsingher, Enzo
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
46
2020
Cyclic random motions with orthogonal directions. Zbl 1457.60022
Orsingher, E.; Garra, R.; Zeifman, A. I.
6
2020
On fractional Cattaneo equation with partially reflecting boundaries. Zbl 1514.35453
Angelani, L.; Garra, R.
1
2020
Isochronous fractionals PDEs. Zbl 1524.35687
Droghei, Riccardo; Garra, Roberto
1
2020
Modeling biological systems with an improved fractional Gompertz law. Zbl 1464.92009
Frunzo, Luigi; Garra, Roberto; Giusti, Andrea; Luongo, Vincenzo
12
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
46
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
22
2018
The fractional Dodson diffusion equation: a new approach. Zbl 1403.35314
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
15
2018
Scott-Blair models with time-varying viscosity. Zbl 1407.76007
Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco
8
2018
Probability distributions for the run-and-tumble models with variable speed and tumbling rate. Zbl 1426.60116
Angelani, Luca; Garra, Roberto
4
2018
Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039
Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M.
15
2017
Nonlinear heat conduction equations with memory: physical meaning and analytical results. Zbl 1371.80012
Artale Harris, Pietro; Garra, Roberto
15
2017
Some probabilistic properties of fractional point processes. Zbl 1372.60070
Garra, Roberto; Orsingher, Enzo; Scavino, Marco
10
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
1
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
20
2016
Random flights related to the Euler-Poisson-Darboux equation. Zbl 1344.60051
Garra, R.; Orsingher, E.
13
2016
State-dependent fractional point processes. Zbl 1315.60056
Garra, R.; Orsingher, E.; Polito, F.
21
2015
Fractional diffusions with time-varying coefficients. Zbl 1337.60064
Garra, Roberto; Orsingher, Enzo; Polito, Federico
13
2015
Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011
Concezzi, Moreno; Garra, Roberto; Spigler, Renato
6
2015
Correlated fractional counting processes on a finite-time interval. Zbl 1337.60061
Beghin, Luisa; Garra, Roberto; Macci, Claudio
3
2015
Hilfer-Prabhakar derivatives and some applications. Zbl 1334.26008
Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad
105
2014
Fractional relaxation with time-varying coefficient. Zbl 1305.26018
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni
29
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
8
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
32
2013
Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method. Zbl 1305.35151
Harris, Pietro Artale; Garra, Roberto
22
2013
Localization and stability of active scalar flows. Zbl 1294.76077
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo
9
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.
6
2013
Analytic solutions of fractional differential equations by operational methods. Zbl 1248.35222
Garra, Roberto; Polito, Federico
10
2012
Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. Zbl 1245.35139
Garra, Roberto
10
2012
Coupled systems of fractional equations related to sound propagation: Analysis and discussion. Zbl 1276.76075
Garra, Roberto; Polito, Federico
2
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 621 Authors

25 Garra, Roberto
16 Băleanu, Dumitru I.
14 Fernandez, Arran
14 Polito, Federico
13 Garrappa, Roberto
13 Orsingher, Enzo
12 Mainardi, Francesco
12 Tomovski, Živorad
11 Giusti, Andrea
9 Górska, Katarzyna
9 Kataria, Kuldeep Kumar
9 Sandev, Trifce
8 Horzela, Andrzej
7 Ansari, Alireza
7 De Gregorio, Alessandro
7 de Oliveira, Edmundo Capelas
7 Di Crescenzo, Antonio
7 Nieto Roig, Juan Jose
7 Ricciuti, Costantino
6 Ahmad, Bashir
6 Al-saedi, Ahmed Eid Salem
5 Aminataei, Azim
5 Beghin, Luisa
5 Cinque, Fabrizio
5 Eshaghi, Shiva
5 Macci, Claudio
5 Machado, José António Tenreiro
5 Ozarslan, Mehmet Ali
5 Pogány, Tibor K.
5 Sahadevan, Ramajayam
5 Tarasov, Vasily E.
5 Toaldo, Bruno
5 Vellaisamy, Palaniappan
4 Abdeljawad, Thabet
4 Angelani, Luca
4 Colombaro, Ivano
4 Khandakar, Mostafizar
4 Malik, Salman A.
4 Martinucci, Barbara
4 Metzler, Ralf
4 Ntouyas, Sotiris K.
4 Priyendhu, K. S.
4 Rui, Weiguo
4 Sakhno, Lyudmyla Mykhaĭlivna
4 Shishkina, Elina Leonidovna
4 Sun, Hongguang
4 Wang, Guotao
4 Wu, Guocheng
4 Yuldashev, Tursun Kamaldinovich
4 Zhang, Yi
3 Ahmadian, Ali
3 Atanackovic, Teodor M.
3 Awad, Emad S.
3 Aziz, Sara
3 Bakkyaraj, Thangarasu
3 Chechkin, Aleksei V.
3 Chen, Yangquan
3 Dattoli, Giuseppe
3 Derakhshan, Mohammad Hossein
3 Derakhshan, Mohammadhossein
3 dos Santos, Maike A. F.
3 Fu, Hui
3 Geldhauser, Carina
3 Gómez-Aguilar, José Francisco
3 Iuliano, Antonella
3 Kadirkulov, Bakhtiyor J.
3 Kolokoltsov, Vassili N.
3 Kürt, Cemaliye
3 Meoli, Alessandra
3 Michelitsch, Thomas M.
3 Pei, Ke
3 Penson, Karol A.
3 Petrovskii, Sergei V.
3 Pilipović, Stevan
3 Rani, Noosheza
3 Restrepo, Joel Esteban
3 Riascos, Alejandro P.
3 Rodríguez-Dagnino, Ramón Martín
3 Rogosin, Sergei V.
3 Romito, Marco
3 Salahshour, Soheil
3 Suragan, Durvudkhan
3 Ur Rehman, Mujeeb
3 Zhou, Hongwei
2 Abbas, Said
2 Abdel Kader, Abass H.
2 Abdel Latif, Mohamed Soror
2 Abdelkawy, Mohamed A.
2 Abdo, Mohammed Salem
2 Agarwal, Ravi P.
2 Agrawal, Om Prakash
2 Alarifi, Najla M.
2 Albideewi, Amjad F.
2 Aljoudi, Shorog
2 Aminikhah, Hossein
2 Anastassiou, George Angelos
2 Bachir, Fatima Si
2 Bazhlekova, Emilia G.
2 Belgacem, Rachid
2 Benbachir, Maamar
...and 521 more Authors
all top 5

Cited in 147 Serials

48 Fractional Calculus & Applied Analysis
23 Computational and Applied Mathematics
20 Communications in Nonlinear Science and Numerical Simulation
16 Chaos, Solitons and Fractals
12 Applied Mathematics and Computation
12 Advances in Difference Equations
11 Mathematical Methods in the Applied Sciences
10 Nonlinear Dynamics
9 Journal of Statistical Physics
9 Journal of Computational and Applied Mathematics
8 Journal of Mathematical Physics
8 Statistics & Probability Letters
7 Integral Transforms and Special Functions
7 Journal of Physics A: Mathematical and Theoretical
7 Fractional Differential Calculus
7 Mathematics
7 Modern Stochastics. Theory and Applications
6 Physica A
5 Acta Mechanica
5 Reports on Mathematical Physics
5 Stochastic Analysis and Applications
4 Computers & Mathematics with Applications
4 Journal of Computational Physics
4 Stochastic Processes and their Applications
4 Abstract and Applied Analysis
4 Lobachevskii Journal of Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 International Journal of Applied and Computational Mathematics
3 Mathematical Notes
3 Journal of Applied Probability
3 Mathematics and Computers in Simulation
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 Qualitative Theory of Dynamical Systems
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
3 Journal of Function Spaces
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 Cybernetics and Systems Analysis
2 Filomat
2 Methodology and Computing in Applied Probability
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Nonlinear Analysis. Modelling and Control
2 Cubo
2 Discrete and Continuous Dynamical Systems. Series S
2 Analysis and Mathematical Physics
2 Axioms
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 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 Physica D
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
1 Continuum Mechanics and Thermodynamics
1 Archives of Control Sciences
1 Potential Analysis
1 Tatra Mountains Mathematical Publications
1 Applied Mathematics. Series B (English Edition)
1 Statistical Papers
1 Engineering Analysis with Boundary Elements
1 Journal of Difference Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Discrete and Continuous Dynamical Systems
1 Mathematics and Mechanics of Solids
1 Mathematical Communications
...and 47 more Serials
all top 5

Cited in 42 Fields

159 Partial differential equations (35-XX)
149 Real functions (26-XX)
138 Ordinary differential equations (34-XX)
96 Probability theory and stochastic processes (60-XX)
85 Special functions (33-XX)
60 Numerical analysis (65-XX)
33 Integral equations (45-XX)
28 Operator theory (47-XX)
26 Integral transforms, operational calculus (44-XX)
26 Fluid mechanics (76-XX)
19 Statistical mechanics, structure of matter (82-XX)
15 Mechanics of deformable solids (74-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
14 Systems theory; control (93-XX)
13 Mechanics of particles and systems (70-XX)
12 Biology and other natural sciences (92-XX)
11 Functions of a complex variable (30-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Quantum theory (81-XX)
6 Geophysics (86-XX)
5 Approximations and expansions (41-XX)
5 Optics, electromagnetic theory (78-XX)
4 Difference and functional equations (39-XX)
4 Functional analysis (46-XX)
3 Statistics (62-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Sequences, series, summability (40-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-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 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year