Zobrazeno 1 - 10
of 56
pro vyhledávání: '"M C Brito"'
Publikováno v:
Ciencias Marinas, Vol 38, Iss 4 (2012)
Meiofaunal assemblages from intertidal and shallow subtidal seabeds were studied at two sites (one dominated by volcanic sands and the other by organogenic sands) at Tenerife (Canary Islands, NE Atlantic Ocean) throughout an entire year (May 2000–A
Externí odkaz:
https://doaj.org/article/d583302370644bb991f7054a224ab663
Publikováno v:
Math. Methods Appl. Sci. 39 (2016), no. 2, 261--279
We introduce a nabla, a delta, and a symmetric fractional calculus on arbitrary nonempty closed subsets of the real numbers. These fractional calculi provide a study of differentiation and integration of noninteger order on discrete, continuous, and
Externí odkaz:
http://arxiv.org/abs/1502.07277
Publikováno v:
Signal Process. 107 (2015), 230--237
We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As
Externí odkaz:
http://arxiv.org/abs/1405.2813
Autor:
da Cruz, Artur M. C. Brito
Publikováno v:
University of Aveiro, PhD thesis, 2012
We generalize the Hahn variational calculus by studying problems of the calculus of variations with higher-order derivatives. The symmetric quantum calculus is studied, namely the $\alpha,\beta$-symmetric, the $q$-symmetric, and the Hahn symmetric qu
Externí odkaz:
http://arxiv.org/abs/1306.1327
Publikováno v:
Bull. Malays. Math. Sci. Soc. 38 (2015), no. 4, 1453--1462
We define a more general type of integral on time scales. The new diamond integral is a refined version of the diamond-alpha integral introduced in 2006 by Sheng et al. A mean value theorem for the diamond integral is proved, as well as versions of H
Externí odkaz:
http://arxiv.org/abs/1306.0988
Publikováno v:
Appl. Math. Lett. 26 (2013), no. 2, 264--269
We define a symmetric derivative on an arbitrary nonempty closed subset of the real numbers and derive some of its properties. It is shown that real-valued functions defined on time scales that are neither delta nor nabla differentiable can be symmet
Externí odkaz:
http://arxiv.org/abs/1209.2094
Publikováno v:
Numer. Algebra Control Optim. 3 (2013), no. 1, 77--94
We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler-Lagrange type and a sufficient optimality condition for variational problems wit
Externí odkaz:
http://arxiv.org/abs/1209.1530
Publikováno v:
Springer Proceedings in Mathematics & Statistics 47 (2013), 495--503
Properties of an $\alpha,\beta$-symmetric Norlund sum are studied. Inspired in the work by Agarwal et al., $\alpha,\beta$-symmetric quantum versions of Holder, Cauchy-Schwarz and Minkowski inequalities are obtained.
Comment: Submitted 18-Oct-201
Comment: Submitted 18-Oct-201
Externí odkaz:
http://arxiv.org/abs/1203.2212
Publikováno v:
Springer Proceedings in Mathematics & Statistics 47 (2013), 359--366
We introduce the $\alpha,\beta$-symmetric difference derivative and the $\alpha,\beta$-symmetric N\"orlund sum. The associated symmetric quantum calculus is developed, which can be seen as a generalization of the forward and backward $h$-calculus.
Externí odkaz:
http://arxiv.org/abs/1112.6133
Publikováno v:
Nonlinear Analysis 75 (2012), no. 3, 1147-1157
We prove a necessary optimality condition of Euler-Lagrange type for quantum variational problems involving Hahn's derivatives of higher-order.
Comment: Submitted 30-Sep-2010; revised 4-Jan-2011; accepted 19-Jan-2011; for publication in Nonlinea
Comment: Submitted 30-Sep-2010; revised 4-Jan-2011; accepted 19-Jan-2011; for publication in Nonlinea
Externí odkaz:
http://arxiv.org/abs/1101.3653