Results 11 to 20 of about 20,465 (306)
On a Non-Newtonian Calculus of Variations [PDF]
Axioms, 2021 The calculus of variations is a field of mathematical analysis born in 1687 with Newton’s problem of minimal resistance, which is concerned with the maxima or minima of integral functionals.
Delfim F. M. Torres
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Complex calculus of variations [PDF]
IFAC Proceedings Volumes, 2003 summary:In this article, we present a detailed study of the complex calculus of variations introduced in [M. Gondran: Calcul des variations complexe et solutions explicites d’équations d’Hamilton–Jacobi complexes. C.R. Acad. Sci., Paris 2001, t.
Gondran, Michel, Saade, Rita Hoblos
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, 2018 The Calculus of Variations is at once a classical subject, and a very modern one. Its scope encompasses a broad range of topics in geometric analysis, and deep questions about PDE.
Giovanni Leoni (3885520) +1 more
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, 2012 Since its invention, the calculus of variations has been a central field of mathematics and physics, providing tools and techniques to study problems in geometry, physics and partial differential equations.
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, 2006 Research in the Calculus of Variations has always been motivated by questions generated within the field itself as well as by problems ...
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Minimization Problems for Functionals Depending on Generalized Proportional Fractional Derivatives
Fractal and Fractional, 2022 In this work we study variational problems, where ordinary derivatives are replaced by a generalized proportional fractional derivative. This fractional operator depends on a fixed parameter, acting as a weight over the state function and its first-order
Ricardo Almeida
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Euler–Lagrange-Type Equations for Functionals Involving Fractional Operators and Antiderivatives
Mathematics, 2023 The goal of this paper is to present the necessary and sufficient conditions that every extremizer of a given class of functionals, defined on the set C1[a,b], must satisfy.
Ricardo Almeida
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Riemannian Calculus of Variations Using Strongly Typed Tensor Calculus
Mathematics, 2022 In this paper, the notion of strongly typed language will be borrowed from the field of computer programming to introduce a calculational framework for linear algebra and tensor calculus for the purpose of detecting errors resulting from inherent misuse ...
Victor Dods
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A Stochastic Fractional Calculus with Applications to Variational Principles
Fractal and Fractional, 2020 We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
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Symmetric Divergence-free tensors in the Calculus of Variations
Comptes Rendus. Mathématique, 2022 Divergence-free symmetric tensors seem ubiquitous in Mathematical Physics. We show that this structure occurs in models that are described by the so-called “second” variational principle, where the argument of the Lagrangian is a closed differential form.
Serre, Denis
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