[PDF] Top 20 Fractional calculus of variations for double integrals
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Fractional calculus of variations for double integrals
... The Fractional Calculus of Variations (FCV) was born in 1996-97 with the proof, by Riewe, of the Euler-Lagrange fractional differential equations [29, ...subject of strong ... See full document
12
Computational methods in the fractional calculus of variations and optimal control
... variation of fractional order variational functionals, ...solution of a system of algebraic ...number of mesh points, n, and obtain better solutions as long as the resulted matrix ... See full document
193
Approximation of fractional integrals by means of derivatives
... study of fractional integrals (2) is a two hundred years old subject that is part of a branch of mathematical analysis called Fractional Calculus [9, 13, ...increase ... See full document
15
Isoperimetric problems of the calculus of variations with fractional derivatives
... class of important applications throughout the centuries. Areas of application include astronomy, physics, geometry, algebra, and anal- ysis [6, ...number of authors ... See full document
13
Fractional calculus of variations in terms of a generalized fractional integral with applications to physics
... In Sections 4, 5, and 6 we study three important classes of generalized variational problems: we obtain fractional Euler-Lagrange conditions for the fundamental Section 4 and generalized[r] ... See full document
24
Discrete Direct Methods in the Fractional Calculus of Variations
... property of fractional derivatives. The arbitrary order derivative of a function at a time t depends on all values of that function in ( −∞, t] and [t, ∞) because of the infinite sum, ... See full document
6
Pseudo-fractional ARMA modelling using a double Levinson recursion
... modelling of fractional linear systems. These are described by fractional differen- tial equations in the continuous-time case or auto-regres- sive integrated moving average (ARIMA) models in the ... See full document
6
Fractional variational problems depending on indefinite integrals
... The fractional calculus of variations concerns finding extremizers for variational functionals depending on fractional derivatives instead of integer ...work of Riewe, in ... See full document
18
Calculus of variations on time scales and applications to economics
... absence of a general chain rule on an ar- bitrary time scale causes this impossibility [20, ...problems of the calculus of variations with nabla derivatives and nabla integrals ... See full document
138
A time-fractional Borel-Pompeiu formula and a related hypercomplex operator calculus
... This double duality appears in a non-trivial generalization of the Stokes’ formula as well as in the time-fractional Borel-Pompeiu formula and in the Hodge-type ...results of the classical ... See full document
22
Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
... as calculus itself, and goes back to Leibniz and L’Hˆ opital, when the meaning of the derivative of order 1/2 was ...definitions of fractional integrals and fractional ... See full document
35
Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
... The calculus of variations on time scales was introduced in 2004 with the papers of Bohner [6] and Hilscher and Zeidan ...problem of the calculus of variations on ... See full document
8
Fractional variational problems depending on indefinite integrals and with delay
... on fractional calculus; namely the definitions of fractional integral and fractional derivative, and some fractional integration by parts ...core of the paper: we exhibit ... See full document
10
A stochastic fractional calculus with applications to variational principles
... theory of the calculus of variations evolved in order to include fractional operators and better describe non-conservative systems in mechanics [ 5 ...solving fractional ... See full document
10
Existence of minimizers for n-dimensional nonconvex integrals
... set of minimizers is unbounded, ...possibility of wild behaviour of minimizers ( as displayed in example ...scope of applicability of such nice regularity of minimizers into the ... See full document
91
A formulation of Noether's theorem for fuzzy problems of the calculus of variations
... fuzzy calculus of variations extends the classical variational calculus by con- sidering fuzzy variables and their derivatives into the variational integrals to be ...problems of ... See full document
13
A higher dimensional fractional Borel‐Pompeiu formula and a related hypercomplex fractional operator calculus
... and of the Cauchy-Bitsadze operator, and we investigate some important mapping ...the fractional Dirac operator defined via left Caputo fractional ...Riemann-Liouville fractional derivatives. ... See full document
21
A fractional calculus of variations for multiple integrals with application to vibrating string
... a fractional theory of the calculus of variations for multiple ...notions of Riemann–Liouville fractional derivatives and integrals in the sense of ... See full document
12
Calculus of variations on time scales and discrete fractional calculus
... discrete fractional calculus theory we proved some properties for the fractional sum and difference operators in Section ...One of the subjects that we are willing to study within the discrete ... See full document
116
First integrals for problems of calculus of variations on locally convex spaces
... studying calculus of variations and control theory on the infinite dimensional differential geometry setting (differential calculus of smooth mappings between sub- sets of ... See full document
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