The goal of this paper is to establish a general fixed point theorem for upper semicontinuous set-values mappings in p-vector spaces ( p in (0, 1]), which include topological vector spaces as a special class. These new results provide an answer to Schauder conjecture in the affirmative under the...

The main goal of this paper is to establish a general framework for dynamic behaviors of coupled fractional-order stochastic dynamic systems of particles by using star-coupled models. In particular, the general mechanics on the dynamic behaviors related to the stochastic resonance (SR)...