The Euler–Lagrange and Legendre equations for functionals involving distributed–order fractional derivatives
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DOI: 10.1016/j.amc.2018.03.022
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References listed on IDEAS
- 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.
- Liang, Yingjie & Chen, Wen & Magin, Richard L., 2016. "Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 327-335.
- Mijena, Jebessa B. & Nane, Erkan, 2014. "Correlation structure of time-changed Pearson diffusions," Statistics & Probability Letters, Elsevier, vol. 90(C), pages 68-77.
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Cited by:
- Faïçal Ndaïrou & Delfim F. M. Torres, 2021. "Pontryagin Maximum Principle for Distributed-Order Fractional Systems," Mathematics, MDPI, vol. 9(16), pages 1-12, August.
- Loïc Bourdin & Rui A. C. Ferreira, 2021. "Legendre’s Necessary Condition for Fractional Bolza Functionals with Mixed Initial/Final Constraints," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 672-708, August.
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Keywords
Distributed-order fractional derivative; Euler–Lagrange equation; Legendre condition; Numerical methods;All these keywords.
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