Generalized transversality conditions in fractional calculus of variations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2013 This is a preprint of a paper whose final and definite form will be published in Communications in Nonlinear Science and Numerical Simulation, accepted 14-July ...
Almeida, R, Malinowska, AB
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Isoperimetric problems of the calculus of variations with fractional derivatives [PDF]
Acta Mathematica Scientia, 2012 Submitted 02-Oct-2009; revised 30-Jun-2010; accepted 10-May-2011; for publication in the journal Acta Mathematica ...
Almeida, Ricardo +2 more
core +9 more sources
The Variable-Order Fractional Calculus of Variations [PDF]
, 2019 This book intends to deepen the study of the fractional calculus, giving special emphasis to variable-order ...
Almeida, Ricardo +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.
Odzijewicz, Tatiana +2 more
openaire +3 more sources
Fractional Calculus of Variations for Double Integrals [PDF]
, 2011 We consider fractional isoperimetric problems of calculus of variations with double integrals via the recent modified Riemann-Liouville approach. A necessary optimality condition of Euler-Lagrange type, in the form of a multitime fractional PDE, is proved, as well as a sufficient condition and fractional natural boundary conditions.
Odzijewicz, T., Torres, D.F.M.
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A Generalized Fractional Calculus of Variations
, 2013 This is a preprint of a paper whose final and definitive form will appear in Control and Cybernetics.
Odzijewicz, T. +2 more
openaire +4 more sources
The Generalized Fractional Calculus of Variations
, 2014 This is a preprint of a paper whose final and definite form will appear in Southeast Asian Bulletin of Mathematics (2014)
Odzijewicz, Tatiana +1 more
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Enhancing variable frequency drive efficiency using fractional hybrid Particle Swarm Optimization and comprehensive thermal management [PDF]
Scientific ReportsThis study proposes a Fractional Calculus Hybrid Approach to enhance the dynamic and thermal performance of vector-controlled Permanent Magnet Synchronous Motor (PMSM) drives.
Kashif Habib +6 more
doaj +2 more sources
Calculus of Variations with Classical and Fractional Derivatives [PDF]
, 2010 We 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. The fundamental problem of the calculus of variations with mixed integer and fractional order derivatives as well as isoperimetric
Odzijewicz, Tatiana +1 more
openaire +5 more sources
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
doaj +5 more sources