A thermostat model described by a second-order fractional difference equation is proposed
in this paper with one sensor and two sensors fractional boundary conditions depending on …

The tools of kinetic theory allow to describe the dynamics and evolution of a system
composed of stochastically interacting particles. The interaction is modeled by means of two …

The present paper deals with the kinetic-theoretic description of the evolution of systems
consisting of many particles interacting not only with each other but also with the external …

A new mathematical model of a general autoimmune disease is presented. Basic
information about autoimmune diseases is given and illustrated with examples. The model is …

This paper is devoted to a mathematical proof of the continuous dependence on the initial
data for the discrete thermostatted kinetic framework, for all T> 0. This is a versatile model for …

In this paper a kinetic modeling approach for an ecological system is proposed, based on
the prey–predator structure in terms of individuals experience. Specifically, a system of …

The paper deals with the problem of continuous dependence on initial data of solutions to
the equation describing the evolution of a complex system in the presence of an external …

A complex system is a system involving particles whose pairwise interactions cannot be
composed in the same way as in classical Mechanics, ie, the result of interaction of each …

This paper deals with the mathematical analysis of a thermostatted kinetic theory equation.
Specifically, the assumption on the domain of the activity variable is relaxed allowing for the …

The existence and reaching of nonequilibrium stationary states are important issues that
need to be taken into account in the development of mathematical modeling frameworks for …