Differential equations with impulses arise as models of many evolving processes that are
subject to abrupt changes, such as shocks, harvesting, and natural disasters. These …

This monograph gives a systematic presentation of classical and recent results obtained in
the last couple of years. It comprehensively describes the methods concerning the …

In this paper we present some existence results and topological structure of the solution set
for a class of Caputo implicit fractional q-difference inclusions in Banach spaces. Firstly …

The knowledge of fractional calculus can be useful in developing models that allow us to
better understand and manage some phenomena. In the present paper, we study the …

A topological structure of the set of solutions to impulsive functional differential inclusions on
the half-line is investigated. It is shown that the solution set is nonempty, compact and …

A lot of phenomena investigated in hybrid systems with dry friction, processes of controlled
heat transfer, obstacle problems, and others can be described with the help of various …

In this survey paper, we present some existence results of mild solutions and study the
topological structure of solution sets for first-order impulsive semilinear differential inclusions …

An R δ-structure of solution sets to some classes of impulsive differential inclusions with
variable impulse times on the half-line is shown. Sufficient conditions on barriers are …

In this paper, we give an affirmative answer to a question about the sufficient conditions
which ensure that the set of mild solutions for a fractional impulsive neutral differential …

This paper is devoted to study the topological structure of solution sets for a Volterra-type
nonautonomous evolution inclusion with impulsive effects in a Fréchet space. The evolution …