Fractional evolution inclusions are an important form of differential inclusions within
nonlinear mathematical analysis. They are generalizations of the much more widely …

In this paper, we introduce and study an optimal control problem for a new class of fractional
differential quasi-hemivariational inequalities with nonlocal initial conditions and Clarke …

We prove existence of mild solutions to a class of semilinear fractional differential inclusions
with non local conditions in a reflexive Banach space. We are able to avoid any kind of …

The paper deals with a second order integro-partial differential equation in R n with a
nonlocal, degenerate diffusion term. Nonlocal conditions, such as the Cauchy multipoint and …

A semilinear multivalued evolution equation is considered in a reflexive Banach space. The
nonlinear term has convex, closed, bounded values and a weakly sequentially closed graph …

A new approach is developed for the solvability of nonlocal problems in Hilbert spaces
associated to nonlinear differential equations. It is based on a joint combination of the …

In this paper, we study the existence, localization and multiplicity of positive solutions for
parabolic systems with nonlocal initial conditions. In order to do this, we extend an abstract …

The paper deals with second order parabolic equations on bounded domains with Dirichlet
conditions in arbitrary Euclidean spaces. Their interest comes from being models for …

In the current paper, we study the approximate controllability of the abstract semilinear
differential inclusion with nonlocal inclusion conditions via semigroup theory in reflexive …

We prove a global existence result for bounded solutions to a class of abstract semilinear
delay evolution equations with measures subjected to nonlocal initial data of the form {du …