73 citations · 234 across the 11 of their papers we have counts for
11 papers
Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
Dorota Mozyrska, Delfim F. M. Torres, Malgorzata Wyrwas
Caputo-Fabrizio fractional delta derivatives on an arbitrary time scale are presented. When the time scale is chosen to be the set of real numbers, then the Caputo-Fabrizio fractio…
Fractional Discrete Systems with Sequential h-differences
Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas
In the paper we study the subject of positivity of systems with sequential fractional difference. We give formulas for the unique solutions of systems in linear and semi-linear cas…
Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform
Nuno R. O. Bastos, Dorota Mozyrska, Delfim F. M. Torres
We introduce a fractional calculus on time scales using the theory of delta (or nabla) dynamic equations. The basic notions of fractional order integral and fractional order deriva…
Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems
Dorota Mozyrska, Delfim F. M. Torres
Fractional systems with Riemann-Liouville derivatives are considered. The initial memory value problem is posed and studied. We obtain explicit steering laws with respect to the va…
Minimal modified energy control for fractional linear control systems with the Caputo derivative
Dorota Mozyrska, Delfim F. M. Torres
Fractional control systems with the Caputo derivative are considered. The modified controllability Gramian and the minimum energy optimal control problem are investigated. Construc…
Inequalities and majorisations for the Riemann-Stieltjes integral on time scales
Dorota Mozyrska, Ewa Pawluszewicz, Delfim F. M. Torres
We prove dynamic inequalities of majorisation type for functions on time scales. The results are obtained using the notion of Riemann-Stieltjes delta integral and give a generaliza…