Variational problems for Hölderian functions with free terminal point | Zendy

Almeida Ricardo | Zendy; Martins Natália | Zendy

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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.

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