Edit Profile (opens in new tab) Garra, Roberto Compute Distance To: Compute Author ID: garra.roberto Published as: Garra, Roberto; Garra, R. Homepage: http://www.dmmm.uniroma1.it/~roberto.garra/ External Links: ResearchGate · dblp Documents Indexed: 47 Publications since 2012 Reviewing Activity: 2 Reviews Co-Authors: 34 Co-Authors with 41 Joint Publications 701 Co-Co-Authors all top 5 Co-Authors 5 single-authored 12 Orsingher, Enzo 10 Polito, Federico 5 Giusti, Andrea 4 Mainardi, Francesco 4 Salusti, Ettore 3 Harris, Pietro Artale 3 Tomovski, Živorad 2 Cavallaro, Guido 2 Colombaro, Ivano 2 Droghei, Riccardo 2 Garrappa, Roberto 2 Marchioro, Carlo 2 Taverna, Giorgio S. 1 Angelani, Luca 1 Artale Harris, Piero 1 Beghin, Luisa 1 Caserta, Arrigo 1 Concezzi, Moreno 1 De Gregorio, Alessandro 1 D’Ovidio, Mirko 1 Frunzo, Luigi 1 Gorenflo, Rudolf 1 Issoglio, Elena 1 Luongo, Vincenzo 1 Macci, Claudio 1 Pagnini, Gianni 1 Popolizio, Marina 1 Ratanov, Nikita 1 Saxena, Ram Kishore 1 Scavino, Marco 1 Shishkina, Elina Leonidovna 1 Spigler, Renato 1 Torres, Delfim Fernando Marado 1 Zeifman, Alexander Izrailevich all top 5 Serials 4 Fractional Calculus & Applied Analysis 4 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Reports on Mathematical Physics 2 Applied Mathematics and Computation 2 Journal of Applied Probability 2 Applied Mathematics Letters 2 Integral Transforms and Special Functions 2 Markov Processes and Related Fields 2 Discrete and Continuous Dynamical Systems. Series B 2 Modern Stochastics. Theory and Applications 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Ricerche di Matematica 1 Stochastic Analysis and Applications 1 Physica D 1 Stochastic Processes and their Applications 1 Electronic Journal of Probability 1 Nonlinear Studies 1 Lobachevskii Journal of Mathematics 1 Mathematical Modelling and Analysis 1 Advances in Mathematical Physics 1 Rivista di Matematica della Università di Parma. New Series 1 Communications in Applied and Industrial Mathematics 1 Journal of Fractional Calculus and Applications 1 Mathematics 1 Mathematics and Mechanics of Complex Systems all top 5 Fields 22 Partial differential equations (35-XX) 20 Real functions (26-XX) 16 Probability theory and stochastic processes (60-XX) 13 Special functions (33-XX) 12 Fluid mechanics (76-XX) 10 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 381 times in 313 Documents Cited by ▼ Year ▼ Hilfer-Prabhakar derivatives and some applications. Zbl 1334.26008Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad 78 2014 On some operators involving Hadamard derivatives. Zbl 1282.33032Garra, Roberto; Polito, Federico 25 2013 A practical guide to Prabhakar fractional calculus. Zbl 1437.33019Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco 25 2020 Fractional relaxation with time-varying coefficient. Zbl 1305.26018Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni 23 2014 State-dependent fractional point processes. Zbl 1315.60056Garra, R.; Orsingher, E.; Polito, F. 19 2015 Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method. Zbl 1305.35151Harris, Pietro Artale; Garra, Roberto 17 2013 Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives. Zbl 1337.26015Saxena, Ram K.; Garra, Roberto; Orsingher, Enzo 14 2016 The Prabhakar or three parameter Mittag-Leffler function: theory and application. Zbl 07263244Garra, Roberto; Garrappa, Roberto 14 2018 A note on Hadamard fractional differential equations with varying coefficients and their applications in probability. Zbl 06916879Garra, Roberto; Orsingher, Enzo; Polito, Federico 13 2018 Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M. 13 2017 Random flights governed by Klein-Gordon-type partial differential equations. Zbl 1350.60045Garra, Roberto; Orsingher, Enzo 12 2014 Fractional Klein-Gordon equations and related stochastic processes. Zbl 1301.35131Garra, Roberto; Orsingher, Enzo; Polito, Federico 11 2014 The fractional Dodson diffusion equation: a new approach. Zbl 1403.35314Garra, Roberto; Giusti, Andrea; Mainardi, Francesco 10 2018 Nonlinear time-fractional dispersive equations. Zbl 1329.35331Artale Harris, Piero; Garra, Roberto 10 2014 Localization and stability of active scalar flows. Zbl 1294.76077Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo 9 2013 Analytic solutions of fractional differential equations by operational methods. Zbl 1248.35222Garra, Roberto; Polito, Federico 9 2012 Nonlinear heat conduction equations with memory: physical meaning and analytical results. Zbl 1371.80012Artale Harris, Pietro; Garra, Roberto 9 2017 Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. Zbl 1245.35139Garra, Roberto 8 2012 Random flights related to the Euler-Poisson-Darboux equation. Zbl 1344.60051Garra, R.; Orsingher, E. 8 2016 Fractional diffusions with time-varying coefficients. Zbl 1337.60064Garra, Roberto; Orsingher, Enzo; Polito, Federico 8 2015 Some probabilistic properties of fractional point processes. Zbl 1372.60070Garra, Roberto; Orsingher, Enzo; Scavino, Marco 8 2017 Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011Concezzi, Moreno; Garra, Roberto; Spigler, Renato 6 2015 Application of the nonlocal Darcy law to the propagation of nonlinear thermoelastic waves in fluid saturated porous media. Zbl 1355.76066Garra, R.; Salusti, E. 5 2013 Multidimensional fractional advection-dispersion equations and related stochastic processes. Zbl 1339.60086D’Ovidio, Mirko; Garra, Roberto 4 2014 Scott-Blair models with time-varying viscosity. Zbl 1407.76007Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco 4 2018 Confinement of a hot temperature patch in the modified SQG model. Zbl 1418.35344Garra, Roberto 3 2019 Modeling biological systems with an improved fractional Gompertz law. Zbl 1464.92009Frunzo, Luigi; Garra, Roberto; Giusti, Andrea; Luongo, Vincenzo 3 2019 Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity. Zbl 1417.76011Garra, Roberto; Polito, Federico 2 2012 Probability distributions for the run-and-tumble models with variable speed and tumbling rate. Zbl 1426.60116Angelani, Luca; Garra, Roberto 2 2018 Random motions with space-varying velocities. Zbl 1382.60075Garra, Roberto; Orsingher, Enzo 2 2017 Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients. Zbl 1314.45009Tomovski, Živorad; Garra, Roberto 2 2014 Coupled systems of fractional equations related to sound propagation: Analysis and discussion. Zbl 1276.76075Garra, Roberto; Polito, Federico 2 2012 Planar piecewise linear random motions with jumps. Zbl 1380.60071Garra, Roberto; Orsingher, Enzo; Ratanov, Nikita 1 2017 Correlated fractional counting processes on a finite-time interval. Zbl 1337.60061Beghin, Luisa; Garra, Roberto; Macci, Claudio 1 2015 Exact results on some nonlinear Laguerre-type diffusion equations. Zbl 07443831Garra, Roberto; Tomovski, Zivorad 1 2021 Exact results on some nonlinear Laguerre-type diffusion equations. Zbl 07443831Garra, Roberto; Tomovski, Zivorad 1 2021 A practical guide to Prabhakar fractional calculus. Zbl 1437.33019Giusti, Andrea; Colombaro, Ivano; Garra, Roberto; Garrappa, Roberto; Polito, Federico; Popolizio, Marina; Mainardi, Francesco 25 2020 Confinement of a hot temperature patch in the modified SQG model. Zbl 1418.35344Garra, Roberto 3 2019 Modeling biological systems with an improved fractional Gompertz law. Zbl 1464.92009Frunzo, Luigi; Garra, Roberto; Giusti, Andrea; Luongo, Vincenzo 3 2019 The Prabhakar or three parameter Mittag-Leffler function: theory and application. Zbl 07263244Garra, Roberto; Garrappa, Roberto 14 2018 A note on Hadamard fractional differential equations with varying coefficients and their applications in probability. Zbl 06916879Garra, Roberto; Orsingher, Enzo; Polito, Federico 13 2018 The fractional Dodson diffusion equation: a new approach. Zbl 1403.35314Garra, Roberto; Giusti, Andrea; Mainardi, Francesco 10 2018 Scott-Blair models with time-varying viscosity. Zbl 1407.76007Colombaro, Ivano; Garra, Roberto; Giusti, Andrea; Mainardi, Francesco 4 2018 Probability distributions for the run-and-tumble models with variable speed and tumbling rate. Zbl 1426.60116Angelani, Luca; Garra, Roberto 2 2018 Fractional Herglotz variational principles with generalized Caputo derivatives. Zbl 1374.49039Garra, Roberto; Taverna, Giorgio S.; Torres, Delfim F. M. 13 2017 Nonlinear heat conduction equations with memory: physical meaning and analytical results. Zbl 1371.80012Artale Harris, Pietro; Garra, Roberto 9 2017 Some probabilistic properties of fractional point processes. Zbl 1372.60070Garra, Roberto; Orsingher, Enzo; Scavino, Marco 8 2017 Random motions with space-varying velocities. Zbl 1382.60075Garra, Roberto; Orsingher, Enzo 2 2017 Planar piecewise linear random motions with jumps. Zbl 1380.60071Garra, Roberto; Orsingher, Enzo; Ratanov, Nikita 1 2017 Analytical solution of space-time fractional telegraph-type equations involving Hilfer and Hadamard derivatives. Zbl 1337.26015Saxena, Ram K.; Garra, Roberto; Orsingher, Enzo 14 2016 Random flights related to the Euler-Poisson-Darboux equation. Zbl 1344.60051Garra, R.; Orsingher, E. 8 2016 State-dependent fractional point processes. Zbl 1315.60056Garra, R.; Orsingher, E.; Polito, F. 19 2015 Fractional diffusions with time-varying coefficients. Zbl 1337.60064Garra, Roberto; Orsingher, Enzo; Polito, Federico 8 2015 Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals. Zbl 1343.34011Concezzi, Moreno; Garra, Roberto; Spigler, Renato 6 2015 Correlated fractional counting processes on a finite-time interval. Zbl 1337.60061Beghin, Luisa; Garra, Roberto; Macci, Claudio 1 2015 Hilfer-Prabhakar derivatives and some applications. Zbl 1334.26008Garra, Roberto; Gorenflo, Rudolf; Polito, Federico; Tomovski, Živorad 78 2014 Fractional relaxation with time-varying coefficient. Zbl 1305.26018Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni 23 2014 Random flights governed by Klein-Gordon-type partial differential equations. Zbl 1350.60045Garra, Roberto; Orsingher, Enzo 12 2014 Fractional Klein-Gordon equations and related stochastic processes. Zbl 1301.35131Garra, Roberto; Orsingher, Enzo; Polito, Federico 11 2014 Nonlinear time-fractional dispersive equations. Zbl 1329.35331Artale Harris, Piero; Garra, Roberto 10 2014 Multidimensional fractional advection-dispersion equations and related stochastic processes. Zbl 1339.60086D’Ovidio, Mirko; Garra, Roberto 4 2014 Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients. Zbl 1314.45009Tomovski, Živorad; Garra, Roberto 2 2014 On some operators involving Hadamard derivatives. Zbl 1282.33032Garra, Roberto; Polito, Federico 25 2013 Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method. Zbl 1305.35151Harris, Pietro Artale; Garra, Roberto 17 2013 Localization and stability of active scalar flows. Zbl 1294.76077Cavallaro, 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 1355.76066Garra, R.; Salusti, E. 5 2013 Analytic solutions of fractional differential equations by operational methods. Zbl 1248.35222Garra, Roberto; Polito, Federico 9 2012 Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. Zbl 1245.35139Garra, Roberto 8 2012 Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity. Zbl 1417.76011Garra, Roberto; Polito, Federico 2 2012 Coupled systems of fractional equations related to sound propagation: Analysis and discussion. Zbl 1276.76075Garra, Roberto; Polito, Federico 2 2012 all cited Publications top 5 cited Publications all top 5 Cited by 442 Authors 19 Garra, Roberto 12 Băleanu, Dumitru I. 12 Polito, Federico 10 Garrappa, Roberto 10 Giusti, Andrea 10 Mainardi, Francesco 10 Tomovski, Živorad 9 Kataria, Kuldeep Kumar 9 Orsingher, Enzo 7 Ansari, Alireza 7 De Gregorio, Alessandro 7 de Oliveira, Edmundo Capelas 7 Sandev, Trifce 6 Fernandez, Arran 6 Górska, Katarzyna 6 Horzela, Andrzej 6 Ricciuti, Costantino 5 Ahmad, Bashir 5 Al-saedi, Ahmed Eid Salem 5 Beghin, Luisa 5 Machado, José António Tenreiro 5 Nieto Roig, Juan Jose 5 Pogány, Tibor K. 5 Sahadevan, Ramajayam 5 Vellaisamy, Palaniappan 4 Ahmadian, Ali 4 Khandakar, Mostafizar 4 Ntouyas, Sotiris K. 4 Sakhno, Lyudmyla Mykhaĭlivna 4 Salahshour, Soheil 4 Toaldo, Bruno 4 Wang, Guotao 4 Yuldashev, Tursun Kamaldinovich 3 Abdeljawad, Thabet 3 Aminataei, Azim 3 Aziz, Sara 3 Chen, Yangquan 3 Colombaro, Ivano 3 Di Crescenzo, Antonio 3 dos Santos, Maike A. F. 3 Eshaghi, Shiva 3 Geldhauser, Carina 3 Kadirkulov, Bakhtiyor J. 3 Kolokoltsov, Vassili N. 3 Macci, Claudio 3 Malik, Salman A. 3 Martinucci, Barbara 3 Ozarslan, Mehmet Ali 3 Pei, Ke 3 Petrovskii, Sergei V. 3 Rodríguez-Dagnino, Ramón Martín 3 Romito, Marco 3 Rui, Weiguo 3 Shishkina, Elina Leonidovna 3 Sun, Hongguang 3 Tarasov, Vasily E. 3 Zhang, Yi 2 Abdo, Mohammed Salem 2 Alarifi, Najla M. 2 Albideewi, Amjad F. 2 Aljoudi, Shorog 2 Anastassiou, George Angelos 2 Atanackovic, Teodor M. 2 Bazhlekova, Emilia G. 2 Buchak, Khrystyna 2 Bulavatskyĭ, Volodymyr M. 2 Cai, Ruiyang 2 Chechkin, Aleksei V. 2 Choudhary, Sangita 2 Cinque, Fabrizio 2 Daftardar-Gejji, Varsha 2 Darwish, Mohamed Abdalla 2 Derakhshan, Mohammad Hossein 2 Derakhshan, Mohammadhossein 2 Di Nardo, Elvira 2 Dubbeldam, Johan L. A. 2 Farid, Ghulam 2 Fazli, Hossein 2 Ferrara, Massimiliano 2 Gajda, Janusz 2 Ge, Fudong 2 Ghaziani, Reza Khoshsiar 2 Gill, Vinod 2 Gómez-Aguilar, José Francisco 2 Ibrahim, Rabha Waell 2 Jannelli, Alessandra 2 Kiryakova, Virginia S. 2 Kou, Chunhai 2 Kumar, Devendra 2 Kumar, Sunil 2 Metzler, Ralf 2 Michelitsch, Thomas M. 2 Panchal, Satish Kushaba 2 Pečarić, Josip 2 Pilipović, Stevan 2 Priyendhu, K. S. 2 Riascos, Alejandro P. 2 Rogosin, Sergei V. 2 Ruggieri, Marianna 2 Saal, Martin ...and 342 more Authors all top 5 Cited in 114 Serials 40 Fractional Calculus & Applied Analysis 18 Computational and Applied Mathematics 15 Communications in Nonlinear Science and Numerical Simulation 12 Chaos, Solitons and Fractals 10 Applied Mathematics and Computation 8 Advances in Difference Equations 7 Journal of Mathematical Physics 7 Statistics & Probability Letters 7 Nonlinear Dynamics 7 Mathematics 6 Journal of Statistical Physics 5 Journal of Computational and Applied Mathematics 5 Stochastic Analysis and Applications 5 Fractional Differential Calculus 5 Modern Stochastics. Theory and Applications 4 Acta Mechanica 4 Journal of Computational Physics 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 Reports on Mathematical Physics 3 Applied Mathematics Letters 3 International Journal of Computer Mathematics 3 Stochastic Processes and their Applications 3 Theory of Probability and Mathematical Statistics 3 Integral Transforms and Special Functions 3 Journal of Physics A: Mathematical and Theoretical 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Function Spaces 2 Computers & Mathematics with Applications 2 Journal of the Franklin Institute 2 Mathematical Notes 2 Physica A 2 Journal of Differential Equations 2 Meccanica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Theoretical Probability 2 Cybernetics and Systems Analysis 2 Filomat 2 Chaos 2 Methodology and Computing in Applied Probability 2 Journal of Statistical Mechanics: Theory and Experiment 2 Cubo 2 Analysis and Mathematical Physics 2 AIMS Mathematics 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Mathematical Methods in the Applied Sciences 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 Journal of Applied Probability 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Acta Mathematica Universitatis Comenianae. New Series 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 Applied Mathematics. Series B (English Edition) 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 Engineering Analysis with Boundary Elements 1 Honam Mathematical Journal 1 Journal of Inequalities and Applications 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Qualitative Theory of Dynamical Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Journal of Evolution Equations 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Entropy 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Mathematical Biosciences and Engineering 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Complex Analysis and Operator Theory 1 Journal of Mathematical Inequalities 1 Applicable Analysis and Discrete Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Acta Universitatis Sapientiae. Mathematica 1 Advances in Mathematical Physics ...and 14 more Serials all top 5 Cited in 39 Fields 118 Partial differential equations (35-XX) 104 Real functions (26-XX) 100 Ordinary differential equations (34-XX) 67 Probability theory and stochastic processes (60-XX) 55 Special functions (33-XX) 42 Numerical analysis (65-XX) 27 Integral equations (45-XX) 22 Fluid mechanics (76-XX) 19 Operator theory (47-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Integral transforms, operational calculus (44-XX) 10 Mechanics of deformable solids (74-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of particles and systems (70-XX) 8 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Systems theory; control (93-XX) 4 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-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 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year