most citedCalculus of variations with fractional derivatives and fractional integrals

183 citations · 288 across the 5 of their papers we have counts for

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math.OC2009★ 183 cited

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…

math.OC2008★ 61 cited

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…

math.OC2008★ 42 cited

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.