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## Pagnini, Gianni

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 Author ID: pagnini.gianni Published as: Pagnini, Gianni; Pagnini, G. External Links: ORCID
 Documents Indexed: 41 Publications since 2001
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#### Co-Authors

 6 single-authored 19 Mainardi, Francesco 7 Mura, Antonio 6 Gorenflo, Rudolf 5 Mentrelli, Andrea 3 Paradisi, Paolo 3 Scalas, Enrico 2 Bosseur, Frederic 2 Egorova, Vera N. 2 Filippi, Jean Baptiste 2 Kaur, Inderpreet 2 Trucchia, Andrea 2 Vitali, Silvia 1 Castellani, Gastone C. 1 Cusimano, Nicole 1 del Teso, Félix 1 D’Ovidio, Mirko 1 Garra, Roberto 1 Gerardo-Giorda, Luca 1 Giusti, Andrea 1 Luchko, Yuri 1 Maurizi, Alberto 1 Moretti, Daniele 1 Rochoux, M. C. 1 Saxena, Ram Kishore 1 Sliusarenko, Oleksii Yu. 1 Sposini, Vittoria 1 Strada, Susanna 1 Tampieri, Francesco
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#### Serials

 10 Fractional Calculus & Applied Analysis 5 Communications in Applied and Industrial Mathematics 4 Journal of Computational and Applied Mathematics 2 Physica A 2 Applied Mathematics and Computation 2 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Applied Mathematical Modelling 1 Journal of Mathematical Sciences (New York) 1 Journal of Vibration and Control 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Differential Equations 1 International Journal of Stochastic Analysis
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#### Fields

 22 Probability theory and stochastic processes (60-XX) 20 Real functions (26-XX) 17 Partial differential equations (35-XX) 11 Special functions (33-XX) 7 Integral transforms, operational calculus (44-XX) 6 Fluid mechanics (76-XX) 5 Integral equations (45-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 3 Geophysics (86-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

32 Publications have been cited 927 times in 675 Documents Cited by Year
The fundamental solution of the space-time fractional diffusion equation. Zbl 1054.35156
Mainardi, Francesco; Luchko, Yuri; Pagnini, Gianni
2001
Fractional diffusion: probability distributions and random walk models. Zbl 0986.82037
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Pagnini, Gianni; Paradisi, Paolo
2002
Time-fractional diffusion of distributed order. Zbl 1229.35118
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf
2008
The Wright functions as solutions of the time-fractional diffusion equation. Zbl 1053.35008
Mainardi, Francesco; Pagnini, Gianni
2003
Some aspects of fractional diffusion equations of single and distributed order. Zbl 1122.26004
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf
2007
The $$M$$-Wright function in time-fractional diffusion processes: a tutorial survey. Zbl 1222.60060
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni
2010
Fox $$H$$ functions in fractional diffusion. Zbl 1061.33012
Mainardi, Francesco; Pagnini, Gianni; Saxena, R. K.
2005
The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. Zbl 1120.35002
Mainardi, Francesco; Pagnini, Gianni
2007
Erdélyi-Kober fractional diffusion. Zbl 1276.26021
Pagnini, Gianni
2012
Characterizations and simulations of a class of stochastic processes to model anomalous diffusion. Zbl 1143.82028
Mura, A.; Pagnini, G.
2008
Mellin transform and subordination laws in fractional diffusion processes. Zbl 1083.60032
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf
2003
Fractional relaxation with time-varying coefficient. Zbl 1305.26018
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni
2014
The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes. Zbl 1312.33061
Pagnini, Gianni
2013
Sub-diffusion equations of fractional order and their fundamental solutions. Zbl 1135.35004
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf
2007
Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals. Zbl 1050.33018
Mainardi, Francesco; Pagnini, Gianni
2003
Short note on the emergence of fractional kinetics. Zbl 1395.82216
Pagnini, Gianni
2014
A stochastic solution with Gaussian stationary increments of the symmetric space-time fractional diffusion equation. Zbl 1341.60073
2016
Nonlinear time-fractional differential equations in combustion science. Zbl 1273.34013
Pagnini, Gianni
2011
Front propagation in anomalous diffusive media governed by time-fractional diffusion. Zbl 1349.35404
Mentrelli, Andrea; Pagnini, Gianni
2015
Evolution equations for the probabilistic generalization of the Voigt profile function. Zbl 1179.82008
Pagnini, Gianni; Mainardi, Francesco
2010
Mellin-Barnes integrals for stable distributions and their convolutions. Zbl 1175.26017
Mainardi, Francesco; Pagnini, Gianni
2008
Two-particle anomalous diffusion: probability density functions and self-similar stochastic processes. Zbl 1339.60116
Pagnini, Gianni; Mura, Antonio; Mainardi, Francesco
2013
Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion. Zbl 1260.60163
Pagnini, Gianni; Mura, Antonio; Mainardi, Francesco
2012
The functions of the Wright type in fractional calculus. Zbl 1216.26004
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni
2010
Mellin convolution for subordinated stable processes. Zbl 1411.60026
Mainardi, F.; Pagnini, G.; Gorenflo, R.
2006
Wildland fire propagation modelling: A novel approach reconciling models based on moving interface methods and on reaction-diffusion equations. Zbl 1363.93030
Kaur, Inderpreet; Mentrelli, Andrea; Bosseur, Frederic; Filippi, Jean Baptiste; Pagnini, Gianni
2015
Lagrangian stochastic models for turbulent relative dispersion based on particle pair rotation. Zbl 1155.76034
Pagnini, Gianni
2008
Fire spotting effects in wildland fire propagation. Zbl 1328.35340
Pagnini, Gianni
2015
Historical notes on the M-Wright/Mainardi function. Zbl 1329.26004
Pagnini, Gianni; Scalas, Enrico
2014
Random front propagation in fractional diffusive systems. Zbl 1338.60110
Mentrelli, Andrea; Pagnini, Gianni
2014
Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion. Zbl 1436.60041
D’Ovidio, Mirko; Vitali, Silvia; Sposini, Vittoria; Sliusarenko, Oleksii; Paradisi, Paolo; Castellani, Gastone; Pagnini, Gianni
2019
The fundamental solutions of the time-fractional diffusion equation. Zbl 1068.35038
Mainardi, Francesco; Pagnini, Gianni
2002
Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: A pathway to non-autonomous stochastic differential equations and to fractional diffusion. Zbl 1436.60041
D&rsquo;Ovidio, Mirko; Vitali, Silvia; Sposini, Vittoria; Sliusarenko, Oleksii; Paradisi, Paolo; Castellani, Gastone; Pagnini, Gianni
2019
A stochastic solution with Gaussian stationary increments of the symmetric space-time fractional diffusion equation. Zbl 1341.60073
2016
Front propagation in anomalous diffusive media governed by time-fractional diffusion. Zbl 1349.35404
Mentrelli, Andrea; Pagnini, Gianni
2015
Wildland fire propagation modelling: A novel approach reconciling models based on moving interface methods and on reaction-diffusion equations. Zbl 1363.93030
Kaur, Inderpreet; Mentrelli, Andrea; Bosseur, Frederic; Filippi, Jean Baptiste; Pagnini, Gianni
2015
Fire spotting effects in wildland fire propagation. Zbl 1328.35340
Pagnini, Gianni
2015
Fractional relaxation with time-varying coefficient. Zbl 1305.26018
Garra, Roberto; Giusti, Andrea; Mainardi, Francesco; Pagnini, Gianni
2014
Short note on the emergence of fractional kinetics. Zbl 1395.82216
Pagnini, Gianni
2014
Historical notes on the M-Wright/Mainardi function. Zbl 1329.26004
Pagnini, Gianni; Scalas, Enrico
2014
Random front propagation in fractional diffusive systems. Zbl 1338.60110
Mentrelli, Andrea; Pagnini, Gianni
2014
The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes. Zbl 1312.33061
Pagnini, Gianni
2013
Two-particle anomalous diffusion: probability density functions and self-similar stochastic processes. Zbl 1339.60116
Pagnini, Gianni; Mura, Antonio; Mainardi, Francesco
2013
Erdélyi-Kober fractional diffusion. Zbl 1276.26021
Pagnini, Gianni
2012
Generalized fractional master equation for self-similar stochastic processes modelling anomalous diffusion. Zbl 1260.60163
Pagnini, Gianni; Mura, Antonio; Mainardi, Francesco
2012
Nonlinear time-fractional differential equations in combustion science. Zbl 1273.34013
Pagnini, Gianni
2011
The $$M$$-Wright function in time-fractional diffusion processes: a tutorial survey. Zbl 1222.60060
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni
2010
Evolution equations for the probabilistic generalization of the Voigt profile function. Zbl 1179.82008
Pagnini, Gianni; Mainardi, Francesco
2010
The functions of the Wright type in fractional calculus. Zbl 1216.26004
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni
2010
Time-fractional diffusion of distributed order. Zbl 1229.35118
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf
2008
Characterizations and simulations of a class of stochastic processes to model anomalous diffusion. Zbl 1143.82028
Mura, A.; Pagnini, G.
2008
Mellin-Barnes integrals for stable distributions and their convolutions. Zbl 1175.26017
Mainardi, Francesco; Pagnini, Gianni
2008
Lagrangian stochastic models for turbulent relative dispersion based on particle pair rotation. Zbl 1155.76034
Pagnini, Gianni
2008
Some aspects of fractional diffusion equations of single and distributed order. Zbl 1122.26004
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf
2007
The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. Zbl 1120.35002
Mainardi, Francesco; Pagnini, Gianni
2007
Sub-diffusion equations of fractional order and their fundamental solutions. Zbl 1135.35004
Mainardi, Francesco; Mura, Antonio; Pagnini, Gianni; Gorenflo, Rudolf
2007
Mellin convolution for subordinated stable processes. Zbl 1411.60026
Mainardi, F.; Pagnini, G.; Gorenflo, R.
2006
Fox $$H$$ functions in fractional diffusion. Zbl 1061.33012
Mainardi, Francesco; Pagnini, Gianni; Saxena, R. K.
2005
The Wright functions as solutions of the time-fractional diffusion equation. Zbl 1053.35008
Mainardi, Francesco; Pagnini, Gianni
2003
Mellin transform and subordination laws in fractional diffusion processes. Zbl 1083.60032
Mainardi, Francesco; Pagnini, Gianni; Gorenflo, Rudolf
2003
Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals. Zbl 1050.33018
Mainardi, Francesco; Pagnini, Gianni
2003
Fractional diffusion: probability distributions and random walk models. Zbl 0986.82037
Gorenflo, Rudolf; Mainardi, Francesco; Moretti, Daniele; Pagnini, Gianni; Paradisi, Paolo
2002
The fundamental solutions of the time-fractional diffusion equation. Zbl 1068.35038
Mainardi, Francesco; Pagnini, Gianni
2002
The fundamental solution of the space-time fractional diffusion equation. Zbl 1054.35156
Mainardi, Francesco; Luchko, Yuri; Pagnini, Gianni
2001
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#### Cited by 919 Authors

 32 Mainardi, Francesco 22 Pagnini, Gianni 19 Liu, Fawang 17 Gorenflo, Rudolf 16 Băleanu, Dumitru I. 13 Luchko, Yuri 12 Anh, Vo V. 11 Saxena, Ram Kishore 11 Turner, Ian William 9 Chen, Yangquan 9 Mathai, Arakaparampli Mathai 8 Ansari, Alireza 8 da Silva, José Luís 8 Li, Zhiyuan 8 Luchko, Yurii F. 8 Roscani, Sabrina D. 7 Beghin, Luisa 7 de Oliveira, Edmundo Capelas 7 Garra, Roberto 7 Haubold, Hans Joachim 7 Kaminski Lenzi, Ervin 7 Odibat, Zaid M. 7 Sandev, Trifce 7 Sun, Zhizhong 6 Bhalekar, Sachin 6 Bu, Weiping 6 Mura, Antonio 6 Tang, Yifa 6 Tomovski, Živorad 6 Umarov, Sabir R. 6 Yamamoto, Masahiro 6 Zheng, Guanghui 5 Abdeljawad, Thabet 5 Chechkin, Aleksei V. 5 D’Ovidio, Mirko 5 Gao, Guanghua 5 Garrappa, Roberto 5 Jarad, Fahd 5 Mophou, Gisèle Massengo 5 Nguyen Huy Tuan 5 Płociniczak, Łukasz 5 Stojanović, Mirjana N. 5 Sun, Hongguang 5 Tarzia, Domingo Alberto 5 Zaky, Mahmoud A. 4 Atanackovic, Teodor M. 4 Atangana, Abdon 4 Bazhlekova, Emilia G. 4 Boyadjiev, Lyubomir I. 4 Cahoy, Dexter O. 4 Dou, Fangfang 4 Ge, Fudong 4 Hai, Dinh Nguyen Duy 4 Hanna, Latif A.-M. 4 Hon, Yiu-Chung 4 Kienle, Alwin 4 Kolokoltsov, Vassili N. 4 Kou, Chunhai 4 Li, Changpin 4 Liemert, André 4 Machado, José António Tenreiro 4 Metzler, Ralf 4 Momani, Shaher M. 4 Oparnica, Ljubica 4 Pandey, Dwijendra Narain 4 Paradisi, Paolo 4 Polito, Federico 4 Rundell, William 4 Trong, Dang Duc 4 Vivoli, Alessandro 4 Wei, Ting 3 Abbaszadeh, Mostafa 3 Aghili, Arman 3 Alkandari, Maryam 3 Bazzaev, Aleksandr Kazbekovich 3 Caputo, Michele 3 Chen, Changming 3 Chen, Wen 3 Chidouh, Amar 3 Costa, Félix Silva 3 Daftardar-Gejji, Varsha 3 Dehghan Takht Fooladi, Mehdi 3 del Teso, Félix 3 Deng, Weihua 3 Dong, Jianping 3 dos Santos, Maike A. F. 3 Elsaid, Ahmed 3 Erraoui, Mohamed 3 Gómez-Aguilar, José Francisco 3 Hahn, Marjorie Green 3 Hossain, M. Enamul 3 Jiang, Xiaoyun 3 Karniadakis, George Em 3 Khaliq, Abdul Q. M. 3 Khan, Nabiullah U. 3 Kiliçman, Adem 3 Kochubeĭ, Anatoliĭ Naumovych 3 Konjik, Sanja 3 Korbel, Jan 3 Kumar, Devendra ...and 819 more Authors
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#### Cited in 176 Serials

 81 Fractional Calculus & Applied Analysis 39 Applied Mathematics and Computation 29 Computers & Mathematics with Applications 29 Journal of Computational and Applied Mathematics 18 Journal of Mathematical Physics 18 Chaos, Solitons and Fractals 17 Communications in Nonlinear Science and Numerical Simulation 16 Journal of Mathematical Analysis and Applications 15 Journal of Computational Physics 14 Abstract and Applied Analysis 13 Integral Transforms and Special Functions 12 Nonlinear Dynamics 11 Applied Numerical Mathematics 11 Advances in Difference Equations 10 Physica A 10 Numerical Algorithms 10 Journal of Applied Mathematics and Computing 8 Journal of Scientific Computing 8 Inverse Problems in Science and Engineering 8 Advances in Mathematical Physics 8 International Journal of Differential Equations 6 Computational and Applied Mathematics 6 Mathematical Problems in Engineering 6 Axioms 5 Applicable Analysis 5 Inverse Problems 5 Applied Mathematics Letters 5 Stochastic Processes and their Applications 4 Journal of Functional Analysis 4 Engineering Analysis with Boundary Elements 4 Journal of Vibration and Control 4 Journal of Applied Mathematics 4 Mathematical Modelling of Natural Phenomena 4 Asian-European Journal of Mathematics 4 Mathematics 3 International Journal of Theoretical Physics 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Differential Equations 3 Mathematics and Computers in Simulation 3 Meccanica 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Ricerche di Matematica 3 SIAM Journal on Numerical Analysis 3 Statistics & Probability Letters 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Advances in Computational Mathematics 3 Complexity 3 Differential Equations and Dynamical Systems 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Statistical Mechanics: Theory and Experiment 3 Boundary Value Problems 3 Journal of Physics A: Mathematical and Theoretical 3 Afrika Matematika 2 Advances in Applied Probability 2 Computer Methods in Applied Mechanics and Engineering 2 Reports on Mathematical Physics 2 Automatica 2 Calcolo 2 Proceedings of the American Mathematical Society 2 Journal of Integral Equations and Applications 2 The Annals of Applied Probability 2 Applied Mathematical Modelling 2 Communications in Statistics. Theory and Methods 2 International Journal of Computer Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 Journal of the Egyptian Mathematical Society 2 Journal of Inverse and Ill-Posed Problems 2 The Journal of Fourier Analysis and Applications 2 Journal of Mathematical Chemistry 2 Journal of Inequalities and Applications 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Analysis (München) 2 Methodology and Computing in Applied Probability 2 Lobachevskii Journal of Mathematics 2 Journal of Evolution Equations 2 Computational Methods in Applied Mathematics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Stochastics 2 European Journal of Pure and Applied Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Nonlinear Science and Applications 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Symmetry 2 Journal of Theoretical Biology 2 Journal of Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Nonlinearity 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Siberian Mathematical Journal ...and 76 more Serials
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#### Cited in 43 Fields

 379 Partial differential equations (35-XX) 203 Real functions (26-XX) 197 Numerical analysis (65-XX) 133 Probability theory and stochastic processes (60-XX) 107 Special functions (33-XX) 101 Ordinary differential equations (34-XX) 82 Integral equations (45-XX) 52 Operator theory (47-XX) 43 Integral transforms, operational calculus (44-XX) 40 Statistical mechanics, structure of matter (82-XX) 34 Fluid mechanics (76-XX) 28 Classical thermodynamics, heat transfer (80-XX) 22 Mechanics of deformable solids (74-XX) 22 Systems theory; control (93-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Quantum theory (81-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Biology and other natural sciences (92-XX) 9 Functional analysis (46-XX) 8 Functions of a complex variable (30-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Statistics (62-XX) 8 Mechanics of particles and systems (70-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Abstract harmonic analysis (43-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Mathematics education (97-XX)