Random variables with Mittag-Leffler distribution can take values either in the set of non-negative integers or in the positive real line. There can be of two different types, one (type-1) heavy-tailed with index α ∈ (0, 1), the other (type-2) possessing all its moments. We investigate various stochastic processes where they play a key role, among which: the discrete space/time Neveu branching ...

In this paper, some novel conditions for the stability results a class of fractional-order quasi-linear impulsive integro-differential systems with multiple delays is discussed. First, existence and uniqueness mild solutions considered system discussed using contraction mapping theorem. Then, Mittag–Leffler (MLS) are established by well known mathematical techniques, further, two corollaries de...

This paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response chaotic behaviors. Firstly, give a representation solution for system. Secondly, some useful sufficient conditions are investigated by using matrix type Mittag-Leffler function, Jacobian via process, stability analysis feedback control technique to...

We review results on the spherically symmetric, asymptotically flat Einstein-Vlasov system. We focus on a recent result where we found explicit conditions on the initial data which guarantee the formation of a black hole in the evolution. Among these data there are data such that the corresponding solutions exist globally in Schwarzschild coordinates. We put these results into a more general co...