generalized transversality conditions in fractional calculus of variations ricardo almeida1 agnieszka b malinowska2 ricardo almeida ua pt a malinowska pb edu pl 1department of mathematics university of aveiro 3810 193 ...
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...Generalized transversality conditions in fractional calculus of variations ricardo almeida agnieszka b malinowska ua pt a pb edu pl department mathematics university aveiro portugal faculty computer science bia lystok technology poland abstract problems with variable endpoints cannot be solved without here we establish such type for variational the caputo derivative consider bolza problem lagrangian that may also depend on unspecied end point where x t is given curve and innite horizon keywords euler lagrange equation subject classication k introduction concerned extremizing functionals it has many applications physics geometry engineering dynamics control theory economics formulation requires two steps specication performance criterion then statement physical constraints should satised basic stated as follows among all dierentiable functions r xed reals nd ones minimize or maximize functional z j l dt one way to deal this solve second order dierential d called boundary provide sucient...