In this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. The differential operator is taken in the Riemann-Liouville sense. Applying the Schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,...

where α = max(|D(ui)|, |D(uj)|)+ ; is a small positive number. For notational simplicity, we denoteD(xi) = D(ui)xi, V (xi, xj) = V (ui, uj)xixj , V̂ (xi, xj) = V̂ (ui, uj)xixj , andR(xi, xj) = R(ui, uj)xixj . Lemma 1. If X∗ is the global optimum of E(X),R(xi, xj) < To,∀ xi ∼ xj , xi, xj ∈ X∗. Proof. If there exists a pair xi ∼ xj , xi, xj ∈ X∗ such thatR(xi, xj) ≥ To, then E(X∗) > 0 = E(0) (5) wh...

Children with autism can benefit from participation in inclusive classroom environments, and many experts assert that inclusion is a civil right and is responsible for nurturing appropriate social development. However, most children with autism require specialized supports to experience success in these educational contexts. This article provides a review of the empirical research that has addr...

The present study examined the processing of the Mandarin Chinese long-distance reflexive ziji to evaluate the role that syntactic structure plays in the memory retrieval operations that support sentence comprehension. Using the multiple-response speed-accuracy tradeoff (MR-SAT) paradigm, we measured the speed with which comprehenders retrieve an antecedent for ziji. Our experimental materials ...

(i) βt(xt → xt|Xi = x) = E[Yit|Xi = x′]− E[Yit|Xi = x], (ii) FYiτ |Xi(.|x) = FYiτ |Xi(.|x) Proof (i) follows by the correlated-random-effects assumption and h(x) = h(x′) βt(xt → xt|Xi = x′) = ∫ (ξt(x ′ t, a, u)− ξt(x, a, u))FAi,Uit|Xi(a, u|x ′) = E[Yit|Xi = xt]− ∫ ξt(xt, a, u))dFAi,Uit|Xi(a, u|h(x)) = E[Yit|Xi = x]− E[Yit|Xi = x]. ∗University of California, Davis, One Shields Ave, Davis CA 9561...