Results 231 to 240 of about 1,386 (256)

Direct Methods in Fractional Calculus of Variations

2015
In this chapter, under assumptions of regularity, convexity and coercivity, we obtain sufficient conditions ensuring the existence of minimizers for functionals with a Lagrangian depending on generalized fractional derivatives and integrals. Necessary optimality conditions of Euler–Lagrange type are also given.
Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F. M. Torres   +2 more
openaire   +1 more source

Multidimensional Discrete-Time Fractional Calculus of Variations

2015
In this paper a discrete-time multidimensional fractional calculus of variations is introduced. The fractional operators are defined in the sense of Gr\(\ddot{u}\)nvald–Letnikov. We derive necessary optimality conditions and then give examples illustrating the use of obtained results.
Agnieszka B. Malinowska, Tatiana Odzijewicz   +1 more
openaire   +1 more source

Fractional Calculus of Variations in Dynamics

2010
In mathematics and theoretical physics, variational (functional) derivative is a generalization of usual derivative that arises in the calculus of variations. In a variation instead of differentiating a function with respect to a variable, one differentiates a functional with respect to a function.
openaire   +1 more source

Fractional Calculus of Variations and the Brachistochrone Problem

SSRN Electronic Journal, 2018
The Brachistochrone problem was posed by Johann Bernoulli as a challenge in 1697. It is still an appropriate problem as an example for application in many branches of mathematics. The problem was first solved by Newton in 1697 itself. Later this problem was solved by using Euler-Lagrange equation with the Calculus of Variations.
openaire   +1 more source

Fractional calculus of variations

2018
O cálculo de ordem não inteira, mais conhecido por cálculo fracionário, consiste numa generalização do cálculo integral e diferencial de ordem inteira. Esta tese é dedicada ao estudo de operadores fracionários com ordem variável e problemas variacionais específicos, envolvendo também operadores de ordem variável.
openaire   +1 more source

Fractional Calculus of Variations

2015
Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F. M. Torres   +2 more
openaire   +1 more source

Calculus of variations on time scales and discrete fractional calculus

2011
Estudamos problemas do cálculo das variações e controlo óptimo no contexto das escalas temporais. Especificamente, obtemos condições necessárias de optimalidade do tipo de Euler–Lagrange tanto para lagrangianos dependendo de derivadas delta de ordem superior como para problemas isoperimétricos.
openaire   +1 more source

A formulation of Noether's theorem for fractional problems of the calculus of variations

Journal of Mathematical Analysis and Applications, 2007
Gastão Silves Ferreira Frederico
exaly  

A fractional calculus of variations for multiple integrals with application to vibrating string

Journal of Mathematical Physics, 2010
Ricardo Almeida, Agnieszka B Malinowska, Delfim F M Torres   +2 more
exaly  

Worldwide Variations in Colorectal Cancer

Ca-A Cancer Journal for Clinicians, 2009
Ahmedin Jemal
exaly