253 citations · 265 across the 2 of their papers we have counts for
2 papers
math.CA2010★ 12 cited
Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus
Nuno R. O. Bastos, Delfim F. M. Torres
We introduce a more general discrete fractional operator, given by convex linear combination of the delta and nabla fractional sums. Fundamental properties of the new fractional op…
math.OC2010★ 253 cited
Discrete-Time Fractional Variational Problems
Nuno R. O. Bastos, Rui A. C. Ferreira, Delfim F. M. Torres
We introduce a discrete-time fractional calculus of variations on the time scale , . First and second order necessary optimality conditions are established. Exa…