This article deals with existence results of Caputo fractional neutral inclusions without
compactness in Banach space using weak topology. In fact, for weakly sequentially closed …

This paper discusses the existence and controllability of a class of fractional order evolution
inclusions with time-varying delay. In the weak topology setting we establish the existence of …

A new approximation solvability method is developed for the study of semilinear differential
equations with nonlocal conditions without the compactness of the semigroup and of the …

The existence of mild solutions is obtained, for a semilinear multivalued equation in a
reflexive Banach space. Weakly compact valued nonlinear terms are considered, combined …

We provide existence results for a fractional differential inclusion with nonlocal conditions
and impulses in a reflexive Banach space. We apply a technique based on weak topology to …

This article concerns the existence and non-existence of solutions to the strongly nonlinear
non-autonomous boundary-value problem (a (t, x (t)) Φ (x (t)))= f (t, x (t), x (t)) ae t∈ R x …

The problem of equivalence between differential and integral problems is absolutely crucial
when applying solution methods based on operators and their properties in function spaces …

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 …

The purpose of this paper is to study a class of semilinear differential variational systems
with nonlocal boundary conditions, which are obtained by mixing semilinear evolution …

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 …