Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β) |
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| Authors: | Rami Ahmad El‐Nabulsi Delfim F M Torres |
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| Institution: | 1. Department of Nuclear and Energy Engineering, Faculty of Mechanical, Energy and Production Engineering, Cheju National University, Jeju 690‐756, South Korea;2. Centre for Research on Optimization and Control, Department of Mathematics, University of Aveiro, Campus Universitário de Santiago, Aveiro 3810‐193, PortugalCentre for Research on Optimization and Control, Department of Mathematics, University of Aveiro, Campus Universitário de Santiago, Aveiro 3810‐193, Portugal=== |
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| Abstract: | We derive Euler–Lagrange‐type equations for fractional action‐like integrals of the calculus of variations which depend on the Riemann–Liouville derivatives of order (α, β), α>0, β>0, recently introduced by Cresson. Some interesting consequences are obtained and discussed. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | fractional action‐like variational approach fractional Euler– Lagrange equations fractional constants of motion |
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