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arxiv: 0907.1024 · v1 · submitted 2009-07-06 · 🧮 math.OC · math-ph· math.MP

Calculus of variations with fractional derivatives and fractional integrals

classification 🧮 math.OC math-phmath.MP
keywords fractionalcalculusderivativesintegralsvariationsconditionscontainingequations
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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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