and Applied Analysis 3 fractional order to distributed order fractional. In Section 4, we introduce the distributed order fractional evolution systems C doD α t x t A C doD β t x t Bu t , x 0 x0, 0 < β < α ≤ 1, 1.5 where u t is control vector, and generalize the results obtained in Section 3 for this case. Finally, the conclusions are given in the last section. 2. Elementary Definitions and The...

This paper presents a simple, efficient and cost effective routing strategy that considers deadlock recovery as opposed to prevention. Performance is optimized in the absence of deadlocks by allowing maximum flexibility in routing. Disha supports true fully adaptive routing where all virtual channels at each node are available to packets without regard for deadlocks. Deadlock cycles, upon formi...

‎Let $R$ be a ring‎ ‎with the Jacobson radical $J(R)$ and let $picolon Rto R/J(R)$ be‎ the canonical map‎. ‎Then $pi$ induces an order preserving group homomorphism‎ ‎$K_0picolon K_0(R)to K_0(R/J(R))$ and an‎ ‎affine continuous map $S(K_0pi)$ between the state space $St(R/J(R))$ and the‎ ‎state space $St(R).$‎ ‎In this paper‎, ‎we consider the natural affine map $S(K_0pi).$ We give a condition ...

1 Proof of Theorem 1 Our proof can be divided into two parts as mentioned in the main manuscript. First of all, we establish the growth condition of LSLDG (see Definition 6.1 in Bonnans and Shapiro (1998) for the detailed definition of the growth condition). Denote the expected and empirical objective functions by J * j (θ) = θ ⊤ G * j θ + 2θ ⊤ h * j + λ * j θ ⊤ θ, J j (θ) = θ ⊤ G j θ + 2θ ⊤ h ...

Let $f : A rightarrow B$ be a ring homomorphism and $J$ an ideal of $B$. In this paper, we give a necessary and sufficient condition for the amalgamated algebra along an ideal $Abowtie^fJ$ to be $J$-Noetherian. Then we give a characterization for pseudo-irreducible ideals of $Abowtie^fJ$, in special cases.