This paper uses topology optimization to optimize the layout of discrete objects, such as fixed-shape void, stiffening, or functional inclusions, in structures and periodic materials.
We then define a normal form for snowflake schemas which captures its intuitive meaning with respect to a set of functional and inclusion dependencies.
The main tools of this paper involve functional differential inclusion theory in the sense of Filippov solutions and non-smooth analysis.
Using a compact analytic semigroup and a nonlinear alterative of Leray-Schauder type for multivalued maps due to O'Regan, Yan [1] established sufficient conditions for the controllability of fractional order partial neutral functional integrodifferential inclusion with infinite delay.
In [5] a semilinear functional differential inclusion associated with a multivalued nonlocal boundary condition is considered, and in [6] an abstract problem as (1.1) is studied with a lower Scorza-Dragoni type nonlinearity; in both papers, regularity conditions by means of a measure of non-compactness on the nonlinearity are assumed.
During the period 2005-2009 UNICEF provided over USD 22 million in support to activities aimed at contributing to the establishment of norms and standards necessary for a functional social inclusion and protection system.
Functional differential inclusions with fractional order are first considered by El Sayed and Ibrahim [59].
The analysis in this paper is performed via functional differential inclusions following the Filippov theory.
Here we continue this study by considering partial functional differential inclusions involving the Riemann-Liouville derivative of order.
In this paper, we have investigated the controllability of fractional impulsive neutral functional differential inclusions in Banach spaces.
In the following, we will be concerned with fractional semilinear functional differential inclusions with finite delay of the form (5.1).
