Fractional calculus of variations of several independent variables [PDF]
The European Physical Journal Special Topics, 2013 We prove multidimensional integration by parts formulas for generalized fractional derivatives and integrals. The new results allow us to obtain optimality conditions for multidimensional fractional variational problems with Lagrangians depending on ...
Tatiana Odzijewicz +2 more
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Calculus of Variations on Time Scales and Discrete Fractional Calculus [PDF]
, 2010 Doutoramento em MatemáticaEstudamos 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 ...
Rui A. C. Ferreira
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A Generalized Fractional Calculus of Variations [PDF]
, 2013 We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives.
Tatiana Odzijewicz
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Fractional Calculus of Variations: A Novel Way to Look At It [PDF]
Fractional Calculus and Applied Analysis, 2019 In this work we look at the original fractional calculus of variations problem in a somewhat different way. As a simple consequence, we show that a fractional generalization of a classical problem has a solution without any restrictions on the derivative-order $α$.
Rui A C Ferreira, Ferreira Rui A C
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Advanced Methods in the Fractional Calculus of Variations
SpringerBriefs in Applied Sciences and Technology, 2015 This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives.
Agnieszka B Malinowska +2 more
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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Fractal and Fractional, 2020 Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
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Fractional Calculus of Variations for Composed Functionals with Generalized Derivatives
Fractal and FractionalThis paper extends the fractional calculus of variations to include generalized fractional derivatives with dependence on a given kernel, encompassing a wide range of fractional operators.
Ricardo Almeida
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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 ...
Odzijewicz, T. +3 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
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Fractional Damping Through Restricted Calculus of Variations [PDF]
Journal of Nonlinear Science, 2021 Key words and phrases: Continuous/discrete Lagrangian and Hamiltonian modelling, fractional derivatives, fractional dissipative systems, fractional differential equations, variational principles, variational integrators. 30 pages, 7 figures. Constructive comments are welcome!!
Fernando Jiménez, Sina Ober‐Blöbaum
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