Results 21 to 30 of about 1,884 (305)
Fractional variational calculus for nondifferentiable functions
Computers & Mathematics with Applications, 2011 We prove necessary optimality conditions, in the class of continuous functions, for variational problems defined with Jumarie's modified RiemannLiouville derivative. The fractional basic problem of the calculus of variations with free boundary conditions
Almeida, R., Torres, D.F.M.
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Calculus of Variations with Classical and Fractional Derivatives [PDF]
, 2012 MSC 2010: 49K05, 26A33We give a proper fractional extension of the classical calculus of variations. Necessary optimality conditions of Euler-Lagrange type for variational problems containing both classical and fractional derivatives are proved.
Tatiana Odzijewicz, Delfim F. M. Torres
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Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics [PDF]
Abstract and Applied Analysis, 2012 We study fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives, generalized fractional integrals and derivatives.
Tatiana Odzijewicz +2 more
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Variational calculus with conformable fractional derivatives [PDF]
IEEE/CAA Journal of Automatica Sinica, 2017 Invariant conditions for conformable fractional problems of the calculus of variations under the presence of external forces in the dynamics are studied.
Lazo, Matheus J., Torres, Delfim F. M.
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Analysis of hybrid fractional integro-differential equations with application to cholera dynamics [PDF]
Scientific ReportsThis study establishes the existence of solutions for a class of fractional hybrid integro-differential equations governed by the $$\vartheta$$ -Caputo derivative, subject to slit-strip boundary conditions.
Mohamed S. Algolam +4 more
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Fractional tempered variational calculus [PDF]
Mathematical Methods in the Applied Sciences, 2023 ABSTRACT In this paper, we derive sufficient conditions ensuring the existence of a weak solution for a tempered fractional Euler‐Lagrange equations. Furthermore, we study a fractional tempered version of Noether theorem, and we provide a very explicit expression of a constant of motion in terms of symmetry group and Lagrangian for ...
César E. Torres Ledesma +3 more
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The Generalized Fractional Calculus of Variations
, 2014 International audienceWe review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana +1 more
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Numerical Approximations to Fractional Problems of the Calculus of Variations and Optimal Control
, 2014 International audienceThis chapter presents some numerical methods to solve problems in the fractional calculus of variations and fractional optimal control.
Shakoor Pooseh +2 more
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Variable order fractional variational calculus for double integrals [PDF]
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012 This is a preprint of a paper whose final and definite form will be published in: 51st IEEE Conference on Decision and Control, December 10-13, 2012, Maui, Hawaii, USA. Article Source/Identifier: PLZ-CDC12.1240.d4462b33.
Tatiana Odzijewicz +2 more
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Fractional Variational Calculus of Variable Order [PDF]
, 2013 We study the fundamental problem of the calculus of variations with variable order fractional operators. Fractional integrals are considered in the sense of Riemann-Liouville while derivatives are of Caputo type.
Tatiana Odzijewicz +2 more
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