101 citations · 650 across the 25 of their papers we have counts for
3 papers · 1 filter
Higher-order variational problems of Herglotz type
Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
We obtain a generalized Euler-Lagrange differential equation and transversality optimality conditions for Herglotz-type higher-order variational problems. Illustrative examples of…
Symmetric Quantum Calculus
Artur M. C. Brito da Cruz
We generalize the Hahn variational calculus by studying problems of the calculus of variations with higher-order derivatives. The symmetric quantum calculus is studied, namely the…
The Diamond Integral on Time Scales
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
We define a more general type of integral on time scales. The new diamond integral is a refined version of the diamond-alpha integral introduced in 2006 by Sheng et al. A mean valu…