Publications (71)
Becker and Lomnitz rheological models: a comparison
Francesco Mainardi, Giorgio Spada
Discrete random walk models for space-time fractional diffusion
Rudolf Gorenflo, Francesco Mainardi, Daniele Moretti +2
Laplace-Laplace analysis of the fractional Poisson process
Rudolf Gorenflo, Francesco Mainardi
Time-fractional diffusion of distributed order
Francesco Mainardi, Antonio Mura, Gianni Pagnini +1
Fractional Calculus: Integral and Differential Equations of Fractional Order
Rudolf Gorenflo, Francesco Mainardi
Fractional Diffusion Processes: Probability Distributions and Continuous Time Random Walk
Rudolf Gorenflo, Francesco Mainardi
Wave Dispersion in the Linearised Fractional Korteweg - de Vries equation
Ivano Colombaro, Andrea Giusti, Francesco Mainardi
The fractional Dodson diffusion equation: a new approach
Roberto Garra, Andrea Giusti, Francesco Mainardi
Emergence of Fractional Kinetics in Spiny Dendrites
Silvia Vitali, Francesco Mainardi, Gastone Castellani
The Fractional Langevin Equation: Brownian Motion Revisited
Francesco Mainardi, Paolo Pironi
Models of dielectric relaxation based on completely monotone functions
Roberto Garrappa, Francesco Mainardi, Guido Maione
Time Fractional Cable Equation And Applications in Neurophysiology
Silvia Vitali, Gastone Castellani, Francesco Mainardi
Random walk models approximating symmetric space-fractional diffusion processes
Rudolf Gorenflo, Francesco Mainardi
The origin of infinitely divisible distributions: from de Finetti's problem to Levy-Khintchine formula
Francesco Mainardi, Sergei Rogosin
A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus
Roberto Garra, Francesco Mainardi, Giorgio Spada
A class of linear viscoelastic models based on Bessel functions
Ivano Colombaro, Andrea Giusti, Francesco Mainardi
On the viscoelastic characterization of the Jeffreys-Lomnitz law of creep
Francesco Mainardi, Giorgio Spada
Evolution equations of the probabilistic generalization of the Voigt profile function
Gianni Pagnini, Francesco Mainardi
George William Scott Blair -- the pioneer of factional calculus in rheology
Sergei Rogosin, Francesco Mainardi
Fractional Calculus in Wave Propagation Problems
Francesco Mainardi
A dynamic viscoelastic analogy for fluid-filled elastic tubes
Andrea Giusti, Francesco Mainardi
Seismic pulse propagation with constant Q and stable probability distributions
Francesco Mainardi, Massimo Tomirotti
Creep, Relaxation and Viscosity Properties for Basic Fractional Models in Rheology
Francesco Mainardi, Giorgio Spada
Parametric subordination in fractional diffusion processes
Rudolf Gorenflo, Francesco Mainardi
The waiting-time distribution of LIFFE bond futures
Marco Raberto, Enrico Scalas, Rudolf Gorenflo +1
A.Ya. Khintchine's Work in Probability Theory
Sergei Rogosin, Francesco Mainardi
Continuous time random walk and parametric subordination in fractional diffusion
Rudolf Gorenflo, Francesco Mainardi, Alessandro Vivoli
A class of self-similar stochastic processes with stationary increments to model anomalous diffusion in physics
Antonio Mura, Francesco Mainardi
Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects
Rudolf Gorenflo, Francesco Mainardi
Propagation Speed of the Maximum of the Fundamental Solution to the Fractional Diffusion-Wave Equation
Yuri Luchko, Francesco Mainardi, Yuriy Povstenko
An Historical Perspective on Fractional Calculus in Linear Viscoelasticity
Francesco Mainardi
The fundamental solution of the space-time fractional diffusion equation
Francesco Mainardi, Yuri Luchko, Gianni Pagnini
A fractional generalization of the Poisson processes
Francesco Mainardi, Rudolf Gorenflo, Enrico Scalas
On the propagation of transient waves in a viscoelastic Bessel medium
Ivano Colombaro, Andrea Giusti, Francesco Mainardi
Fractional calculus and continuous-time finance II: the waiting-time distribution
Francesco Mainardi, Marco Raberto, Rudolf Gorenflo +1
The Mittag-Leffler function in the thinning theory for renewal processes
Rudolf Gorenflo, Francesco Mainardi
Salvatore Pincherle: the pioneer of the Mellin-Barnes integrals
Francesco Mainardi, Gianni Pagnini
Some aspects of fractional diffusion equations of single and distributed order
Francesco Mainardi, Gianni Pagnini, Rudolf Gorenflo
On Scott-Blair model with time-varying viscosity in linear viscoelasticity
Roberto Garra, Francesco Mainardi
Fractional Cable Model for Signal Conduction in Spiny Neuronal Dendrites
Silvia Vitali, Francesco Mainardi
Anomalous waiting times in high-frequency financial data
Enrico Scalas, Rudolf Gorenflo, Hugh Luckock +3
Probability distributions generated by fractional diffusion equations
Francesco Mainardi, Paolo Paradisi, Rudolf Gorenflo
On transient waves in linear viscoelasticity
Ivano Colombaro, Andrea Giusti, Francesco Mainardi
Analytical properties and applications of the Wright function
Rudolf Gorenflo, Yuri Luchko, Francesco Mainardi
A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients
Francesco Mainardi
Applications of integral transforms in fractional diffusion processes
Francesco Mainardi
Brownian motion and anomalous diffusion revisited via a fractional Langevin equation
Francesco Mainardi, Antonio Mura, Francesco Tampieri
Mellin transform and subordination laws in fractional diffusion processes
Francesco Mainardi, Gianni Pagnini, Rudolf Gorenflo
Renewal processes of Mittag-Leffler and Wright type
Francesco Mainardi, Rudolf Gorenflo, Alessandro Vivoli
The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
Francesco Mainardi, Gianni Pagnini
A one parameter class of Fractional Maxwell-like models
Ivano Colombaro, Andrea Giusti, Francesco Mainardi
Fractional calculus and continuous-time finance
Enrico Scalas, Rudolf Gorenflo, Francesco Mainardi
On the fractional Poisson process and the discretized stable subordinator
Rudolf Gorenflo, Francesco Mainardi
The two forms of fractional relaxation of distributed order
Francesco Mainardi, Antonio Mura, Rudolf Gorenflo +1
Scott-Blair models with time-varying viscosity
Ivano Colombaro, Roberto Garra, Andrea Giusti +1
On infinite series concerning zeros of Bessel functions of the first kind
Andrea Giusti, Francesco Mainardi
On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
Francesco Mainardi, Roberto Garrappa
Non-Markovian diffusion equations and processes: analysis and simulations
Antonio Mura, Murad S. Taqqu, Francesco Mainardi
Discrete random walk models for symmetric Levy-Feller diffusion processes
Rudolf Gorenflo, Gianni De Fabritiis, Francesco Mainardi
The M-Wright function in time-fractional diffusion processes: a tutorial survey
Francesco Mainardi, Antonio Mura, Gianni Pagnini
Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics
Francesco Mainardi
Cauchy and signaling problems for the time-fractional diffusion-wave equation
Yuri Luchko, Francesco Mainardi
Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
Edmundo Capelas de Oliveira, Francesco Mainardi, Jayme Vaz
Revisiting the derivation of the fractional diffusion equation
Enrico Scalas, Rudolf Gorenflo, Francesco Mainardi +1
Anomalous waiting times in high-frequency financial data
Enrico Scalas, Rudolf Gorenflo, Francesco Mainardi +2
Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
Enrico Scalas, Rudolf Gorenflo, Francesco Mainardi
Time-fractional derivatives in relaxation processes: a tutorial survey
Francesco Mainardi, Rudolf Gorenflo
Some recent advances in theory and simulation of fractional diffusion processes
Rudolf Gorenflo, Francesco Mainardi
A generalization of the Becker model in linear viscoelasticity: Creep, relaxation and internal friction
Francesco Mainardi, Enrico Masina, Giorgio Spada
Subordination Pathways to Fractional Diffusion
Rudolf Gorenflo, Francesco Mainardi
On Volterra functions and Ramanujan integrals
Roberto Garrappa, Francesco Mainardi