Legendre’s Necessary Condition for Fractional Bolza Functionals with Mixed Initial/Final Constraints
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DOI: 10.1007/s10957-021-01908-w
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References listed on IDEAS
- Tian Liang Guo, 2013. "The Necessary Conditions of Fractional Optimal Control in the Sense of Caputo," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 115-126, January.
- Ricardo Almeida, 2017. "Variational Problems Involving a Caputo-Type Fractional Derivative," Journal of Optimization Theory and Applications, Springer, vol. 174(1), pages 276-294, July.
- Almeida, Ricardo & Morgado, M. Luísa, 2018. "The Euler–Lagrange and Legendre equations for functionals involving distributed–order fractional derivatives," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 394-403.
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Cited by:
- Moualkia, Seyfeddine, 2023. "Mathematical analysis of new variant Omicron model driven by Lévy noise and with variable-order fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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Keywords
Fractional calculus of variations; Bolza functional; Mixed initial/final constraints; Euler–Lagrange equation; Transversality conditions; Legendre condition; Riemann–Liouville and Caputo fractional operators; Ekeland variational principle;All these keywords.
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