In this article we consider the Levy processes and the corresponding semi-group. We represent the generator of this semigroup in a convolution form. Using the obtained convolution form and the theory of integral equations we investigate the properties of a wide class of Levy processes (potential, quasi-potential, the probability of the Levy process remaining within the given domain, long time b...

Continuous time random walk models with decoupled waiting time density are studied. When the spatial one jump probability density belongs to the Levy distribution type and the total time transition is exponential a generalized superdiffusive regime is established. This is verified by showing that the square width of the probability distribution (appropriately defined)grows as t 2/γ with 0 < γ ≤...

Abstract In recent years, feature selection is becoming more and important in data mining. Its target that reduce the dimensionality of datasets while at least maintaining classification accuracy. There are some researches about chicken swarm optimization algorithm (CSO) applied to selection, effect extraordinary compared with traditional intelligence algorithms. However, there a complex search...

The idea of probabilistic metric space was introduced by Menger and he showed that probabilistic metric spaces are generalizations of metric spaces. Thus, in this paper, we prove some of the important features and theorems and conclusions that are found in metric spaces. At the beginning of this paper, the distance distribution functions are proposed. These functions are essential in defining p...

Abstract The optimization of dam reservoir operations is the utmost importance, as operators strive to maximize revenue while minimizing expenses, risks, and deficiencies. Metaheuristics have recently been investigated extensively by researchers in management reservoirs. But animal-concept-based metaheuristic algorithm with Lévy flight integration approach has not used at Karun-4. This paper in...

in this paper vibration of ferromagnetic rectangular plates which are subjected to an inclined magnetic field is investigated based on classical plate theory and maxwell equations. levy type solution and finite element method using comsol software are used to obtain the frequency of the plate subjected to different boundary conditions, good agreements is obtained when computed results are compa...

Despite the remarkable work conducted to improve fog computing applications’ efficiency, task scheduling problem in such an environment is still a big challenge. Optimizing these applications, i.e. critical healthcare smart cities, and transportation urgent save energy, quality of service, reduce carbon emission rate, flow time. As proposed much recent work, dealing with this as single objectiv...

Abstract Sensor technology is developing rapidly and up to date. The lifetime of the Wireless Network (WSN) has also attracted many researchers, location Base Station (BS) plays a crucial role in prolonging lifetime. energy consumption WSN occurs during transmission data selection cluster-head nodes. A reasonable BS prolongs WSN. This study proposes Levy Flight Edge Regeneration Black Hole algo...