Fractional variational calculus for nondifferentiable functions: generalized natural boundary conditions
نویسنده
چکیده
Fractional (non-integer) derivatives and integrals play an important role in theory and applications. The fractional calculus of variations is a rather recent subject with the first results from 1996. This paper presents necessary and sufficient optimality conditions for fractional problems of the calculus of variations with a Lagrangian density depending on the free end-points. The fractional operators are defined in the sense of Jumarie.
منابع مشابه
Generalized Euler–Lagrange equations for fuzzy fractional variational calculus
This paper presents the necessary optimality conditions of Euler–Lagrange type for variational problems with natural boundary conditions and problems with holonomic constraints where the fuzzy fractional derivative is described in the combined Caputo sense. The new results are illustrated by computing the extremals of two fuzzy variational problems. AMS subject classifications: 65D10, 92C45
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