183 citations · 288 across the 5 of their papers we have counts for
5 papers
Calculus of variations with fractional derivatives and fractional integrals
Ricardo Almeida, Delfim F. M. Torres
We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives…
Isoperimetric problems on time scales with nabla derivatives
Ricardo Almeida, Delfim F. M. Torres
We prove a necessary optimality condition for isoperimetric problems under nabla-differentiable curves. As a consequence, the recent results of [M.R. Caputo, A unified view of oste…
The isoperimetric problem for Holderian curves
Ricardo Almeida, Delfim F. M. Torres
We prove a necessary stationary condition for non-differentiable isoperimetric variational problems with scale derivatives, defined on the class of Hölder continuous functions.
A mu-differentiable Lagrange multiplier rule
Ricardo Almeida, Delfim F. M. Torres
We present some properties of the gradient of a mu-differentiable function. The Method of Lagrange Multipliers for mu-differentiable functions is then exemplified.
Relaxed optimality conditions for mu-differentiable functions
Ricardo Almeida, Delfim F. M. Torres
We prove some fundamental properties of mu-differentiable functions. A new notion of local minimizer and maximizer is introduced and several extremum conditions are formulated usin…