most citedCalculus of variations with fractional derivatives and fractional integrals

183 citations · 225 across the 2 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★ 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.