The sub-title of this presentation could be “The fractional order integrator approach”. Although fractional order differentiation is commonly considered as the basis of fractional calculus, its effective basis is in fact fractional order integration, mainly because definitions, calculation and properties of fractional derivatives and Fractional Differential Systems (FDS) rely deeply on fraction...

Over the years, systematic search for stiff model solvers that are near-optimal has attracted attention of many researchers. An attempt been made in this research to formulate an implicit Four-Point Hybrid Block Integrator (FPHBI) simulations some renowned rigid models. The integrator is formulated by using Lagrange polynomial as basis function. properties which include order, consistency, and ...

We consider manifolds endowed with a contact pair structure. To such a structure are naturally associated two almost complex structures. If they are both integrable, we call the structure a normal contact pair. We generalize the Morimoto’s Theorem on product of almost contact manifolds to flat bundles. We construct some examples on Boothby–Wang fibrations over contact-symplectic manifolds. In p...

This paper introduces a novel out-loop compensation scheme with selective filtering stage for Type-1 Frequency Locked Loop (FLL) to obtain the same features of Type-2 FLL in response frequency drift. The proposed can eliminate phase angle error during drift without compromising its benefits low order control system. performance Type1-c is evaluated alternatively employed Delayed Signal Cancella...

Abstract In this paper, we establish the optimal convergence for a second-order exponential-type integrator from Hofmanová & Schratz (2017, An KdV equation. Numer. Math., 136, 1117–1137) solving Korteweg–de Vries equation with rough initial data. The scheme is explicit and efficient to implement. By rigorous error analysis, show that provides accuracy in $H^\gamma $ data $H^{\gamma +4}$ any...

Phone:+82 53 810 3241, Fax: +82 53 811 3262 SUMMARY The fractional order system, which is described by the fractional order derivative and integral, has been studied in many engineering areas. Recently, the concept of fractional order has been generalized to the distributed order concept, which is a parallel connection of fractional order integrals and derivatives taken to the infinitesimal lim...