Add to ORKGWe consider the time-fractional Cattaneo equation involving the tempered Caputo space-fractional derivative. We find the characteristic function of the related process and we explain the main differences with previous stochastic treatments of the time-fractional Cattaneo equation.Comment: 11 page
In the continuous-time random walk model, the time-fractional operator usually expresses an infinite...
In this paper, we characterise path-independence of additive functionals for stochastic Volterra equ...
(From the publisher): The book is devoted to the fundamental relationship between three objects: a s...
Fractional derivatives and integrals are convolutions with a power law. Including an exponential ter...
We compare the model of heat transfer proposed by Cattaneo, Maxwell, and Vernotte with another one, ...
The classical heat conduction equation is generalized using a generalized heat conduction law. In pa...
The prime aim of the present paper is to continue developing the theory of tempered fractional integ...
We show that current results in the spectral theory of fractional Sturm-Liouville problems \cite{BTO...
Fractional Calculus has a close relation with Probability. Random walks with heavy tails converge to...
The Cattaneo-Vernotte equation is a generalization of the heat and particle diffusion equations; thi...
The generalized Cattaneo equation is a new heat conduction equation which is based on the generaliza...
An improved constitutive model is proposed in which the time space upper-convected derivative is use...
We derive the governing equation of the Tempered Stable Subordinator (hereafter TSS), which generali...
We consider stochastic differential equations (SDEs) driven by a fractional Brownian motion with dri...
We prove time-dependent versions of Kingman's subadditive ergodic theorem, which can be used to stud...
In the continuous-time random walk model, the time-fractional operator usually expresses an infinite...
In this paper, we characterise path-independence of additive functionals for stochastic Volterra equ...
(From the publisher): The book is devoted to the fundamental relationship between three objects: a s...
Fractional derivatives and integrals are convolutions with a power law. Including an exponential ter...
We compare the model of heat transfer proposed by Cattaneo, Maxwell, and Vernotte with another one, ...
The classical heat conduction equation is generalized using a generalized heat conduction law. In pa...
The prime aim of the present paper is to continue developing the theory of tempered fractional integ...
We show that current results in the spectral theory of fractional Sturm-Liouville problems \cite{BTO...
Fractional Calculus has a close relation with Probability. Random walks with heavy tails converge to...
The Cattaneo-Vernotte equation is a generalization of the heat and particle diffusion equations; thi...
The generalized Cattaneo equation is a new heat conduction equation which is based on the generaliza...
An improved constitutive model is proposed in which the time space upper-convected derivative is use...
We derive the governing equation of the Tempered Stable Subordinator (hereafter TSS), which generali...
We consider stochastic differential equations (SDEs) driven by a fractional Brownian motion with dri...
We prove time-dependent versions of Kingman's subadditive ergodic theorem, which can be used to stud...
In the continuous-time random walk model, the time-fractional operator usually expresses an infinite...
In this paper, we characterise path-independence of additive functionals for stochastic Volterra equ...
(From the publisher): The book is devoted to the fundamental relationship between three objects: a s...