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43 papers · 1 filter
Lawvere completion and separation via closure
Dirk Hofmann, Walter Tholen
For a quantale $\V$, first a closure-theoretic approach to completeness and separation in $\V$-categories is presented. This approach is then generalized to $\Tth$-categories, wher…
Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
Gastao S. F. Frederico, Delfim F. M. Torres
The study of fractional variational problems with derivatives in the sense of Caputo is a recent subject, the main results being Agrawal's necessary optimality conditions of Euler-…
Nested Subgraphs of Complex Networks
Bernat Corominas-Murtra, José F. F. Mendes, Ricard V. Solé
We analytically explore the scaling properties of a general class of nested subgraphs in complex networks, which includes the -core and the -scaffold, among others. We name s…
Necessary Optimality Conditions for Fractional Action-Like Problems with Intrinsic and Observer Times
Gastao S. F. Frederico, Delfim F. M. Torres
We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems. More general fractional action-like optimal control pr…
Diamond- Jensen's Inequality on Time Scales
Moulay Rchid Sidi Ammi, Rui A. C. Ferreira, Delfim F. M. Torres
The theory and applications of dynamic derivatives on time scales has recently received considerable attention. The primary purpose of this paper is to give basic properties of dia…
Experimental Determination of Thermal Entanglement in Spin Clusters using Magnetic Susceptibility Measurements
A. M. Souza, M. S. Reis, D. O. Soares-Pinto +2
The present work reports an experimental observation of thermal entanglement in a clusterized spin chain formed in the compound NaCuSiO. The presence of entangle…