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math.OC2011★ 52 cited
Fractional variational calculus for nondifferentiable functions
Ricardo Almeida, Delfim F. M. Torres
We prove necessary optimality conditions, in the class of continuous functions, for variational problems defined with Jumarie's modified Riemann-Liouville derivative. The fractiona…
math.OC2011★ 27 cited
Generalizing the variational theory on time scales to include the delta indefinite integral
Natalia Martins, Delfim F. M. Torres
We prove necessary optimality conditions of Euler-Lagrange type for generalized problems of the calculus of variations on time scales with a Lagrangian depending not only on the in…