2 citations · 3 across the 3 of their papers we have counts for
14 papers
Fractional Poisson Analysis in Dimension one
Jerome B. Bendong, Sheila M. Menchavez, José Luís da Silva
In this paper, we use a biorthogonal approach (Appell system) to construct and characterize the spaces of test and generalized functions associated to the fractional Poisson measur…
Random Time Dynamical Systems I: General Structures
José Luís da Silva, Yuri Kondratiev
In this paper we introduce the concept of random time changes in dynamical systems. The subordination principle may be applied to study the long time behavior of the random time sy…
Green Measures for Time Changed Markov Processes
José L. da Silva, Yuri Kondratiev
In this paper we study Green measures for certain classes of random time change Markov processes where the random time change are inverse subordinators. We show the existence of th…
Asymptotic Behavior of the Subordinated Traveling Waves
Yuri Kondratiev, José Luís da Silva
In this paper we investigate the long-time behavior of the subordination of the constant speed traveling waves by a general class of kernels. We use the Feller--Karamata Tauberian…
Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations
Wei Liu, Michael Röckner, José Luís da Silva
In this paper strong dissipativity of generalized time-fractional derivatives on Gelfand triples of properly in time weighted -path spaces is proved. In particular, the classi…
Fractional Periodic Processes: Properties and an Application of Polymer Form Factors
Wolfgang Bock, Jose Luis da Silva, Ludwig Streit
In this paper we introduce and study three classes of fractional periodic processes. An application to ring polymers is investigated. We obtain a closed analytic expressions for th…