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      Calculus of variations with fractional derivatives and fractional integrals

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          Abstract

          We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville.

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          Recent applications of fractional calculus to science and engineering

          This paper deals with recent applications of fractional calculus to dynamical systems in control theory, electrical circuits with fractance, generalized voltage divider, viscoelasticity, fractional-order multipoles in electromagnetism, electrochemistry, tracer in fluid flows, and model of neurons in biology. Special attention is given to numerical computation of fractional derivatives and integrals.
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            Relaxation in filled polymers: A fractional calculus approach

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              Fractional variational calculus in terms of Riesz fractional derivatives

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                Author and article information

                Journal
                06 July 2009
                Article
                10.1016/j.aml.2009.07.002
                0907.1024
                af1d20b6-cbec-4ab9-a982-95b2a9cc0e5a

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                49K05; 26A33
                Applied Mathematics Letters 22 (2009) 1816--1820
                Accepted (July 6, 2009) for publication in Applied Mathematics Letters
                math.OC math-ph math.MP

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