Optimality Conditions for Fractional Variational Problems with Dependence on a Combined Caputo Derivative of Variable Order
arXiv:1501.02082 · doi:10.1080/02331934.2015.1010088
Abstract
We establish necessary optimality conditions for variational problems with a Lagrangian depending on a combined Caputo derivative of variable fractional order. The endpoint of the integral is free, and thus transversality conditions are proved. Several particular cases are considered illustrating the new results.
This is a preprint of a paper whose final and definite form will be published in Optimization, ISSN 0233-1934 (Print), 1029-4945 (Online). Submitted 05-Feb-2014; revised 16-May, 14-July and 16-Dec-2014; accepted 08-Jan-2015
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