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Variational problems for Hölderian functions with free terminal point
Author(s) -
Almeida Ricardo,
Martins Natália
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3128
Subject(s) - mathematics , terminal (telecommunication) , calculus of variations , derivative (finance) , operator (biology) , point (geometry) , calculus (dental) , order (exchange) , type (biology) , mathematical analysis , geometry , computer science , medicine , telecommunications , biochemistry , chemistry , ecology , dentistry , finance , repressor , biology , transcription factor , financial economics , economics , gene
We develop the new variational calculus introduced in 2011 by J. Cresson and I. Greff, where the classical derivative is substituted by a new complex operator called the scale derivative. In this paper, we consider several nondifferentiable variational problems with free terminal point with and without constraints of first and higher‐order type. Copyright © 2014 John Wiley & Sons, Ltd.