Add to ORKGAbstract. We consider fractional directional derivatives and establish some connection with stable densities. Solutions to advection equations involving fractional directional derivatives are presented and some properties investi-gated. In particular we obtain solutions written in terms of Wright functions by exploiting operational rules involving the shift operator. We also consider fractional advection diffusion equations involving fractional powers of the nega-tive Laplace operator and directional derivatives of fractional order and discuss the probabilistic interpretations of solutions. 1
In recent years increasing interests and considerable researches have been given to the fractional d...
The problem of studying anomalous superdiffusive transport by means of fractional transport equation...
Abstract In this paper we study linear and nonlinear fractional diffusion equations with the Caputo ...
We consider fractional directional derivatives and establish some connection with stable densities. ...
Abstract. In this paper we provide a definition of fractional gradient opera-tors, related to direct...
We revisit the Cauchy problem for the time-fractional diffusion equation, which is obtained from the...
none3Here we provide a survey of the high transcendental functions related to the Wright special fun...
Here we provide a survey of the high transcendental functions related to the Wright special function...
Here we provide a survey of the high transcendental functions related to the Wright special function...
In this paper we study multidimensional fractional advection-dispersion equations involving fraction...
Fractional derivatives can be viewed either as a handy extension of classical calculus or, more deep...
The fundamental solution of the fractional diffusion equation of distributed order in time (usually ...
The fundamental solution of the fractional diffusion equation of distributed order in time (usually ...
In this article, we deal with the efficient computation of the Wright function in the cases of inter...
In this paper, after a brief review of the general theory concerning regularized derivatives and int...
In recent years increasing interests and considerable researches have been given to the fractional d...
The problem of studying anomalous superdiffusive transport by means of fractional transport equation...
Abstract In this paper we study linear and nonlinear fractional diffusion equations with the Caputo ...
We consider fractional directional derivatives and establish some connection with stable densities. ...
Abstract. In this paper we provide a definition of fractional gradient opera-tors, related to direct...
We revisit the Cauchy problem for the time-fractional diffusion equation, which is obtained from the...
none3Here we provide a survey of the high transcendental functions related to the Wright special fun...
Here we provide a survey of the high transcendental functions related to the Wright special function...
Here we provide a survey of the high transcendental functions related to the Wright special function...
In this paper we study multidimensional fractional advection-dispersion equations involving fraction...
Fractional derivatives can be viewed either as a handy extension of classical calculus or, more deep...
The fundamental solution of the fractional diffusion equation of distributed order in time (usually ...
The fundamental solution of the fractional diffusion equation of distributed order in time (usually ...
In this article, we deal with the efficient computation of the Wright function in the cases of inter...
In this paper, after a brief review of the general theory concerning regularized derivatives and int...
In recent years increasing interests and considerable researches have been given to the fractional d...
The problem of studying anomalous superdiffusive transport by means of fractional transport equation...
Abstract In this paper we study linear and nonlinear fractional diffusion equations with the Caputo ...