Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative

Authors:
Agnieszka B. Malinowska;Delfim F. M. Torres
Affiliations:
Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal and Faculty of Computer Science, Białystok University of Technology, 15-351 Białystok, Poland;Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 1
Cited 8

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Abstract

This paper presents the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrangian depending on the free end-points. The fractional derivatives are defined in the sense of Caputo.