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710	2		_aSpringerLink (Online service) _9106996
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008			180629s2019 gw a o |||| 0|eng d
020			_a9783319940069
024	7		_a10.1007/978-3-319-94006-9 _2doi
040			_bspa _dES-MaUEC _cES-MaUEC
050		4	_aQA314 _b2019 EB
100	1		_aAlmeida, Ricardo _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9673207 _c(Mathematics professor)
245	1	4	_aThe Variable-Order Fractional Calculus of Variations _cby Ricardo Almeida, Dina Tavares, Delfim F. M. Torres.
264		1	_aCham _bSpringer International Publishing : _bImprint: Springer _c2019.
300			_a1 recurso en línea (XIV, 124 páginas) _b12 ilustraciones, 11 ilustraciones a color
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aEngineering (Springer-11647)
490	0		_aSpringerBriefs in Applied Sciences and Technology _x2191-530X
505	0		_aFractional Calculus -- The Calculus of Variations -- Expansion Formulas for Fractional Derivatives -- The Fractional Calculus of Variations.
520	3		_aThe Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler-Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained. The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief.
988			_aPrimersemestre_2019_Engineering
650		7	_2embne _aCálculo fraccionario _9162291
650		7	_2embne _9139214 _aCálculo de variaciones
700	1		_aTavares, Dina. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aTorres, Delfim F. M. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
776	0	8	_iPrinted edition: _z9783319940052
776	0	8	_iPrinted edition: _z9783319940076
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-319-94006-9 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_dz _feng _ggw _h0 _b04/2020 _eIG _zSI