The Partial Averaging of Fuzzy Differential Inclusions on Finite Interval

The substantiation of a possibility of application of partial averaging method on finite interval for differential inclusions with the fuzzy right-hand side with a small parameter is considered

AN EXISTENCE AND UNIQUENESS THEOREM TO THE CAUCHY PROBLEM FOR GENERALISED SET DIFFERENTIAL EQUATIONS

Abstract. In this paper the concept of generalized differentiability for set-valued mappings proposed by A.V. Plotnikov, N.V. Skripnik is used. The generalized set-valued differential equations with generalized derivative are considered, the existence and uniqueness theorem is proved

Partial averaging of discrete-time set-valued systems

In the introduction of the article we given an overview of the results for set-valued equations. Further we considered the set-valued discrete-time dynamical systems and substantiates the averaging method for nonlinear set-valued discrete-time systems with a small parameter. Mathematics Subject Classification (2010): 49M25, 34C29, 49J53

Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative

The article explores a linear set-valued differential equation featuring both conformable fractional and generalized conformable fractional derivatives. It presents conditions for the existence of solutions and provides analytical expressions for the shape of solution sections at different time points. Model examples are employed to illustrate the results

Piecewise Constant Control Set Systems

Abstract In this article we prove that for any measurable admissible control ( ) w ⋅ and for any 0 ε > there exists piecewise constant admissible control ( ) w ⋅ such that for set solutions of control set system are ε -neighbouring