Nuno R. O. Bastos

most citedDiscrete-Time Fractional Variational Problems

253 citations · 265 across the 2 of their papers we have counts for

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math.CA2012★ 12 cited

Fractional Calculus on Time Scales

Nuno R. O. Bastos

We introduce a discrete-time fractional calculus of variations on the time scales $Z$ and $(h Z)_{a}$ . First and second order necessary optimality conditions are est…

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…